Differences

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--- documentation:ref:spinorssimplify [2015/11/21 10:06]
poslavskysv [Examples]
+++ documentation:ref:spinorssimplify [2015/11/21 12:33] (current)
@@ Line 42: / Line 42: @@
                 'u', 'v', Matrix1.vector
-def sSimplify = SpinorsSimplify[[uBar: 'cu', vBar: 'cv', u: 'u', v: 'v', Momentum: 'p_a', Mass: 'm']]
+def sSimplify = SpinorsSimplify[[uBar: 'cu', vBar: 'cv', u: 'u', v: 'v',
+                                  Momentum: 'p_a', Mass: 'm']]
 println sSimplify >> 'cu*p^a*G_a*G_b*G_c*v'.t
 </sxh>
@@ Line 54: / Line 55: @@
    > m*G_b*G_c*u+2*G_c*u*p_b-2*G_b*u*p_c
 </sxh>
+<sxh groovy; gutter: true; first-line: 6>
+println sSimplify >> 'p^a*G_a*G_b*G_c*v'.t
+</sxh>
+<sxh plain; gutter: false>
+   > -m*G_b*G_c*v+2*G_c*v*p_b-2*G_b*v*p_c
+</sxh>
+----
+With ''DiracSimplify: true'' an additional simplification of Dirac gammas will be performed automatically:
+<sxh groovy; gutter: true; first-line: 1>
+def options = [uBar: 'cu', vBar: 'cv', u: 'u', v: 'v',
+               Momentum: 'p_a', Mass: 'm', DiracSimplify: true]
+def sSimplify = SpinorsSimplify[options]
+println sSimplify >> 'cu*G^a*G_b*G_a*p^b'.t
+</sxh>
+<sxh plain; gutter: false>
+   > -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>
 ====See also====
   * 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]]
-  * 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]]