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documentation:ref:spinorssimplify [2015/11/21 10:11]
poslavskysv [Examples]
documentation:ref:spinorssimplify [2015/11/21 12:33] (current)
Line 64: Line 64:
 With ''​DiracSimplify:​ true''​ an additional simplification of Dirac gammas will be performed automatically:​ With ''​DiracSimplify:​ true''​ an additional simplification of Dirac gammas will be performed automatically:​
 <sxh groovy; gutter: true; first-line: 1> <sxh groovy; gutter: true; first-line: 1>
-def sSimplify ​SpinorsSimplify[[uBar: '​cu',​ vBar: '​cv',​ u: '​u',​ v: '​v',​  +def options ​= [uBar: '​cu',​ vBar: '​cv',​ u: '​u',​ v: '​v',​  
-                                  Momentum: '​p_a',​ Mass: '​m',​ DiracSimplify:​ true]] +               ​Momentum: '​p_a',​ Mass: '​m',​ DiracSimplify:​ true] 
-println sSimplify >> 'p^a*G_a*G_b*G_c*v'.t+ 
 +def sSimplify = SpinorsSimplify[options
 +println sSimplify >> 'cu*G^a*G_b*G_a*p^b'.t
 </​sxh>​ </​sxh>​
 <sxh plain; gutter: false> <sxh plain; gutter: false>
-   > -m*G_b*G_c*v+2*G_c*v*p_b-2*G_b*v*p_c+   > -2*m*cu 
 +</​sxh>​ 
 +Do the same in $D$ dimensions:​ 
 +<sxh groovy; gutter: true; first-line: 6> 
 +options['​Dimension'​] = '​D'​ 
 +sSimplify = SpinorsSimplify[options] 
 +println sSimplify >> 'cu*G^a*G_b*G_a*p^b'​.t 
 +</​sxh>​ 
 +<sxh plain; gutter: false> 
 +   > (-D*m+2*m)*cu
 </​sxh>​ </​sxh>​
 ====See also==== ====See also====
   * Related guides: [[documentation:​guide:​applying_and_manipulating_transformations]],​ [[documentation:​guide:​Setting up matrix objects]], [[documentation:​guide:​list_of_transformations]]   * Related guides: [[documentation:​guide:​applying_and_manipulating_transformations]],​ [[documentation:​guide:​Setting up matrix objects]], [[documentation:​guide:​list_of_transformations]]
   * Related transformations:​ [[documentation:​ref:​DiracTrace]],​ [[documentation:​ref:​DiracSimplify]],​ [[documentation:​ref:​DiracOrder]], ​ [[documentation:​ref:​LeviCivitaSimplify]],​ [[documentation:​ref:​UnitaryTrace]]   * Related transformations:​ [[documentation:​ref:​DiracTrace]],​ [[documentation:​ref:​DiracSimplify]],​ [[documentation:​ref:​DiracOrder]], ​ [[documentation:​ref:​LeviCivitaSimplify]],​ [[documentation:​ref:​UnitaryTrace]]
-  * JavaDocs: [[http://​api.redberry.cc/​redberry/​1.1.8/​java-api//​cc/​redberry/​physics/​feyncalc/​SpinorsSimplifyTransformation.html| SpinorsSimplifyTransformation]]+  * JavaDocs: [[http://​api.redberry.cc/​redberry/​1.1.9/​java-api//​cc/​redberry/​physics/​feyncalc/​SpinorsSimplifyTransformation.html| SpinorsSimplifyTransformation]]
   * Source code: [[https://​bitbucket.org/​redberry/​redberry/​src/​tip/​physics/​src/​main/​java/​cc/​redberry/​physics/​feyncalc/​SpinorsSimplifyTransformation.java|SpinorsSimplifyTransformation.java]]   * Source code: [[https://​bitbucket.org/​redberry/​redberry/​src/​tip/​physics/​src/​main/​java/​cc/​redberry/​physics/​feyncalc/​SpinorsSimplifyTransformation.java|SpinorsSimplifyTransformation.java]]
 +