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--- documentation:guide:list_of_transformations [2015/11/21 10:31]
poslavskysv [Factor]
+++ documentation:guide:list_of_transformations [2015/11/21 10:57]
poslavskysv [DiracTrace]
@@ Line 91: / Line 91: @@
 </sxh>
 See [[documentation:ref:Differentiate]].
+<html><hr style="border:dashed #555555; border-width:1px 0 0; height:0;"></html>
+====DiracSimplify====
+simplifies products of gamma matrices:
+<sxh groovy; gutter: false>
+defineMatrices 'G_a', 'G5', Matrix1.matrix
+println DiracSimplify >> 'G5*G_a*G5*G_b*G^a*G^b'.t
+</sxh>
+<sxh plain; gutter: false>
+   > -8
+</sxh>
+See [[documentation:ref:DiracSimpllify]].
+<html><hr style="border:dashed #555555; border-width:1px 0 0; height:0;"></html>
+====DiracOrder====
+order products of gamma matrices:
+<sxh groovy; gutter: false>
+defineMatrices 'G_a', 'G5', Matrix1.matrix
+println DiracOrder >> 'G5*G_c*G_b*G_a'.t
+</sxh>
+<sxh plain; gutter: false>
+   > G_{a}*G_{b}*G_{c}*G5+2*G_{b}*G5*g_{ca}-2*G_{c}*G5*g_{ba}-2*G_{a}*G5*g_{cb}
+</sxh>
+See [[documentation:ref:DiracOrder]].
 <html><hr style="border:dashed #555555; border-width:1px 0 0; height:0;"></html>
@@ Line 181: / Line 207: @@
 </sxh>
 See [[documentation:ref:ExpandNumerator]].
+<html><hr style="border:dashed #555555; border-width:1px 0 0; height:0;"></html>
+====ExpandTensors====
+expands only indexed parts:
+<sxh groovy; gutter: false>
+println ExpandTensors >> '(a + b)**2*(A_a + B_a)*(A^a + B^a)'.t
+</sxh>
+<sxh plain; gutter: false>
+   > (a+b)**2*A^{a}*A_{a}+2*(a+b)**2*A^{a}*B_{a}+(a+b)**2*B^{a}*B_{a}
+</sxh>
+See [[documentation:ref:ExpandTensors]].
 <html><hr style="border:dashed #555555; border-width:1px 0 0; height:0;"></html>