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documentation:guide:list_of_transformations [2015/11/21 10:33]
poslavskysv [ExpandNumerator]
documentation:guide:list_of_transformations [2015/11/21 10:57]
poslavskysv [DiracTrace]
Line 91: Line 91:
 </​sxh>​ </​sxh>​
 See [[documentation:​ref:​Differentiate]]. 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>  ​ <​html><​hr style="​border:​dashed #555555; border-width:​1px 0 0; height:​0;"></​html>  ​