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‎FeynCalcBookDev/$AL.html‎

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@@ -111,23 +111,22 @@ <h1 class="title">FeynCalc manual (development version)</h1>
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</header>
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<h2 id="al">$AL</h2>
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<p><code>$AL</code> is the head for dummy indices which may be
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introduced by <code>Amputate</code> and <code>Uncontract</code>. By
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default it is unset, but may be set to anything.</p>
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introduced by different functions. By default it is unset, but may be
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set to anything.</p>
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<h3 id="see-also">See also</h3>
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<p><a href="Extra/FeynCalc.html">Overview</a>, <a
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href="Amputate.html">Amputate</a>, <a
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href="Uncontract.html">Uncontract</a>.</p>
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<h3 id="examples">Examples</h3>
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<div class="sourceCode" id="cb1"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a>Uncontract<span class="op">[</span>ScalarProduct<span class="op">[</span><span class="fu">p</span><span class="op">,</span> <span class="fu">q</span><span class="op">],</span> <span class="fu">q</span><span class="op">,</span> Pair <span class="ot">-&gt;</span> <span class="cn">All</span><span class="op">]</span></span></code></pre></div>
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<p><span class="math display">\overline{p}^{\text{\$AL}(\text{\$19})}
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\overline{q}^{\text{\$AL}(\text{\$19})}</span></p>
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<p><span class="math display">\overline{p}^{\text{\$AL}(\text{\$11})}
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\overline{q}^{\text{\$AL}(\text{\$11})}</span></p>
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<div class="sourceCode" id="cb2"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a>$AL <span class="ex">=</span> <span class="sc">\</span><span class="op">[</span>Mu<span class="op">]</span>; </span>
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<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a> </span>
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<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a>Uncontract<span class="op">[</span>ScalarProduct<span class="op">[</span><span class="fu">p</span><span class="op">,</span> <span class="fu">q</span><span class="op">],</span> <span class="fu">q</span><span class="op">,</span> Pair <span class="ot">-&gt;</span> <span class="cn">All</span><span class="op">]</span></span></code></pre></div>
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<p><span class="math display">\overline{p}^{\mu (\text{\$20})}
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\overline{q}^{\mu (\text{\$20})}</span></p>
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<p><span class="math display">\overline{p}^{\mu (\text{\$12})}
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\overline{q}^{\mu (\text{\$12})}</span></p>
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<div class="sourceCode" id="cb3"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>$AL <span class="ex">=</span>.;</span></code></pre></div>
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</body>

‎FeynCalcBookDev/$KeepLogDivergentScalelessIntegrals.html‎

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global option that forces FeynCalc not to set 1-loop integrals of type
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<span class="math inline">\frac{1}/{q^4}</span> to zero. This is useful
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when one has to explicitly distinguish between IR- and UV-divergences in
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dimensional regularization. Notice that OneLoop is not guaranteed to
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respect this option.</p>
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dimensional regularization.</p>
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<h3 id="see-also">See also</h3>
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<p><a href="Extra/FeynCalc.html">Overview</a></p>
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<h3 id="examples">Examples</h3>

‎FeynCalcBookDev/$LimitTo4.html‎

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<h3 id="see-also">See also</h3>
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<p><a href="Extra/FeynCalc.html">Overview</a>, <a
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href="PaVe.html">PaVe</a>, <a href="PaVeReduce.html">PaVeReduce</a>, <a
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href="OneLoop.html">OneLoop</a>, <a
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href="$LimitTo4IRUnsafe.html">$LimitTo4IRUnsafe</a>, <a
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href="PaVeLimitTo4.html">PaVeLimitTo4</a>.</p>
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<h3 id="examples">Examples</h3>

‎FeynCalcBookDev/$LimitTo4IRUnsafe.html‎

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<h3 id="see-also">See also</h3>
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<p><a href="Extra/FeynCalc.html">Overview</a>, <a
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href="PaVe.html">PaVe</a>, <a href="PaVeReduce.html">PaVeReduce</a>, <a
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href="OneLoop.html">OneLoop</a>, <a href="$LimitTo4.html">$LimitTo4</a>,
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<a href="PaVeLimitTo4.html">PaVeLimitTo4</a>.</p>
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href="$LimitTo4.html">$LimitTo4</a>, <a
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href="PaVeLimitTo4.html">PaVeLimitTo4</a>.</p>
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<h3 id="examples">Examples</h3>
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<div class="sourceCode" id="cb1"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a>$LimitTo4IRUnsafe</span></code></pre></div>

‎FeynCalcBookDev/$NonComm.html‎

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<div class="sourceCode" id="cb1"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a>$NonComm</span></code></pre></div>
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<p><span
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class="math display">\{\text{DiracGamma},\text{DiracSigma},\text{GA},\text{GAD},\text{GAE},\text{GS},\text{GSD},\text{GSE},\text{LeftPartialD},\text{LeftRightPartialD},\text{LeftRightPartialD2},\text{FCPartialD},\text{OPESum},\text{QuantumField},\text{RightPartialD},\text{Spinor},\text{SpinorU},\text{SpinorUBar},\text{SpinorV},\text{SpinorVBar},\text{SUNT},\text{PauliSigma},\text{PauliXi},\text{PauliEta},\text{TGA},\text{CGA},\text{CGAD},\text{CGAE},\text{CGS},\text{CGSD},\text{CGSE},\text{SI},\text{SID},\text{SIE},\text{CSI},\text{CSID},\text{CSIE},\text{FeynCalc$\grave{
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class="math display">\{\text{DiracGamma},\text{DiracSigma},\text{GA},\text{GAD},\text{GAE},\text{GS},\text{GSD},\text{GSE},\text{GSLP},\text{GSLN},\text{GSLR},\text{GSLPD},\text{GSLND},\text{GSLRD},\text{GALP},\text{GALN},\text{GALR},\text{GALPD},\text{GALND},\text{GALRD},\text{LeftPartialD},\text{LeftRightPartialD},\text{LeftRightPartialD2},\text{LeftNablaD},\text{LeftRightNablaD},\text{LeftRightNablaD2},\text{FCPartialD},\text{QuantumField},\text{RightPartialD},\text{RightNablaD},\text{Spinor},\text{SpinorU},\text{SpinorUBar},\text{SpinorV},\text{SpinorVBar},\text{SUNT},\text{PauliSigma},\text{PauliXi},\text{PauliEta},\text{PauliEtaC},\text{TGA},\text{CGA},\text{CGAD},\text{CGAE},\text{CGS},\text{CGSD},\text{CGSE},\text{SI},\text{SID},\text{SIE},\text{CSI},\text{CSID},\text{CSIE},\text{FeynCalc$\grave{
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}$Package$\grave{
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}$dotsimpHold},\text{FCChargeConjugateTransposed},\text{CovariantD},\text{FieldStrength},\text{QuarkGluonVertex},\text{QuarkPropagator},\text{Twist2AlienOperator},\text{Twist2CounterOperator},\text{Twist2QuarkOperator},\text{ChiralityProjector},\text{Spinor},\text{DiracMatrix},\text{DiracSlash}\}</span></p>
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}$dotsimpHold},\text{FCChargeConjugateTransposed},\text{CovariantD},\text{FieldStrength},\text{QuarkGluonVertex},\text{QuarkPropagator},\text{ChiralityProjector},\text{Spinor},\text{DiracMatrix},\text{DiracSlash}\}</span></p>
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</body>
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</html>

‎FeynCalcBookDev/CSP.html‎

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<p><span class="math display">(\overline{p}-\overline{q})\cdot (2
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\overline{p}+\overline{q})</span></p>
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<div class="sourceCode" id="cb3"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>Calc<span class="op">[</span> CSP<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">q</span> <span class="sc">+</span> <span class="dv">2</span> <span class="fu">p</span><span class="op">]</span> <span class="op">]</span></span></code></pre></div>
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>ExpandScalarProduct<span class="op">[</span> CSP<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">q</span> <span class="sc">+</span> <span class="dv">2</span> <span class="fu">p</span><span class="op">]</span> <span class="op">]</span></span></code></pre></div>
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<p><span class="math display">-\overline{p}\cdot \overline{q}+2
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\overline{p}^2-\overline{q}^2</span></p>
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<div class="sourceCode" id="cb4"><pre

‎FeynCalcBookDev/CSPD.html‎

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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a>CSPD<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">q</span> <span class="sc">+</span> <span class="dv">2</span> <span class="fu">p</span><span class="op">]</span></span></code></pre></div>
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<p><span class="math display">(p-q)\cdot (2 p+q)</span></p>
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<div class="sourceCode" id="cb3"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>Calc<span class="op">[</span> CSPD<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">q</span> <span class="sc">+</span> <span class="dv">2</span> <span class="fu">p</span><span class="op">]</span> <span class="op">]</span></span></code></pre></div>
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>ExpandScalarProduct<span class="op">[</span> CSPD<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">q</span> <span class="sc">+</span> <span class="dv">2</span> <span class="fu">p</span><span class="op">]</span> <span class="op">]</span></span></code></pre></div>
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<p><span class="math display">-p\cdot q+2 p^2-q^2</span></p>
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<div class="sourceCode" id="cb4"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a>ExpandScalarProduct<span class="op">[</span>CSPD<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">]]</span></span></code></pre></div>

‎FeynCalcBookDev/CSPE.html‎

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<p><span class="math display">(\hat{p}-\hat{q})\cdot (2
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\hat{p}+\hat{q})</span></p>
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<div class="sourceCode" id="cb3"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>Calc<span class="op">[</span> CSPE<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">q</span> <span class="sc">+</span> <span class="dv">2</span> <span class="fu">p</span><span class="op">]</span> <span class="op">]</span></span></code></pre></div>
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>ExpandScalarProduct<span class="op">[</span> CSPE<span class="op">[</span><span class="fu">p</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">q</span> <span class="sc">+</span> <span class="dv">2</span> <span class="fu">p</span><span class="op">]</span> <span class="op">]</span></span></code></pre></div>
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<p><span class="math display">-\hat{p}\cdot \hat{q}+2
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\hat{p}^2-\hat{q}^2</span></p>
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<div class="sourceCode" id="cb4"><pre

‎FeynCalcBookDev/CartesianScalarProduct.html‎

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\overline{p}_1+\overline{k}\cdot \overline{q}-\overline{q}\cdot
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\overline{p}_2+\frac{s}{2}</span></p>
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<div class="sourceCode" id="cb9"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a>Calc<span class="op">[</span> CartesianScalarProduct<span class="op">[</span><span class="fu">Subscript</span><span class="op">[</span><span class="fu">p</span><span class="op">,</span> <span class="dv">1</span><span class="op">]</span> <span class="sc">-</span> <span class="fu">q</span><span class="op">,</span> <span class="fu">Subscript</span><span class="op">[</span><span class="fu">p</span><span class="op">,</span> <span class="dv">2</span><span class="op">]</span> <span class="sc">-</span> <span class="fu">k</span><span class="op">]]</span></span></code></pre></div>
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<p><span class="math display">-\overline{k}\cdot
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\overline{p}_1+\overline{k}\cdot \overline{q}-\overline{q}\cdot
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\overline{p}_2+\frac{s}{2}</span></p>
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a>CartesianScalarProduct<span class="op">[</span>q1<span class="op">]</span> <span class="ex">=</span> qq;</span></code></pre></div>
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<div class="sourceCode" id="cb10"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb10-1"><a href="#cb10-1" aria-hidden="true" tabindex="-1"></a>CartesianScalarProduct<span class="op">[</span>q1<span class="op">]</span> <span class="ex">=</span> qq;</span></code></pre></div>
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<div class="sourceCode" id="cb11"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb11-1"><a href="#cb11-1" aria-hidden="true" tabindex="-1"></a>CSP<span class="op">[</span>q1<span class="op">]</span></span></code></pre></div>
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb10-1"><a href="#cb10-1" aria-hidden="true" tabindex="-1"></a>CSP<span class="op">[</span>q1<span class="op">]</span></span></code></pre></div>
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<p><span class="math display">\text{qq}</span></p>
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<div class="sourceCode" id="cb12"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb12-1"><a href="#cb12-1" aria-hidden="true" tabindex="-1"></a>FCClearScalarProducts<span class="op">[]</span></span></code></pre></div>
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<div class="sourceCode" id="cb11"><pre
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class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb11-1"><a href="#cb11-1" aria-hidden="true" tabindex="-1"></a>FCClearScalarProducts<span class="op">[]</span></span></code></pre></div>
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</body>
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</html>

‎FeynCalcBookDev/Collecting.html‎

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<h1 class="title">FeynCalc manual (development version)</h1>
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</header>
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<h2 id="collecting">Collecting</h2>
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<p><code>Collecting</code> is an option of
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<code>ScalarProductCancel</code>, <code>Series2</code>, <code>TID</code>
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and related functions. Setting it to <code>True</code> will trigger some
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kind of collecting of the result.</p>
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<p><code>Collecting</code> is an option of various functions. Setting it
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to <code>True</code> will trigger some kind of collecting of the
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result.</p>
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<h3 id="see-also">See also</h3>
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<p><a href="Extra/FeynCalc.html">Overview</a>, <a
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href="ScalarProductCancel.html">ScalarProductCancel</a>, <a
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href="Series2.html">Series2</a>, <a href="TID.html">TID</a>.</p>
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<p><a href="Extra/FeynCalc.html">Overview</a>.</p>
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<h3 id="examples">Examples</h3>
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</body>
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</html>

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