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documentation:ref:spinorssimplify [2015/11/21 10:15] poslavskysv [Examples] |
documentation:ref:spinorssimplify [2015/11/21 12:33] (current) |
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| def options = [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] | ||
| + | |||
| def sSimplify = SpinorsSimplify[options] | def sSimplify = SpinorsSimplify[options] | ||
| println sSimplify >> 'cu*G^a*G_b*G_a*p^b'.t | println sSimplify >> 'cu*G^a*G_b*G_a*p^b'.t | ||
| Line 71: | Line 72: | ||
| <sxh plain; gutter: false> | <sxh plain; gutter: false> | ||
| > -2*m*cu | > -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]] | ||
| + | |||