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documentation:ref:diracorder [2015/11/20 19:51] poslavskysv [Examples] |
documentation:ref:diracorder [2015/11/20 19:56] poslavskysv [Examples] |
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---- | ---- | ||
- | Order product of $\gamma$-matrices: | + | All $\gamma_5$ will be shift right: |
<sxh groovy; gutter: true> | <sxh groovy; gutter: true> | ||
defineMatrices 'G_a', 'G5', Matrix1.matrix | defineMatrices 'G_a', 'G5', Matrix1.matrix | ||
def dOrder = DiracOrder | def dOrder = DiracOrder | ||
- | println dOrder >> 'G_b*G_a'.t | + | println dOrder >> 'G5*G_b*G_a'.t |
</sxh> | </sxh> | ||
<sxh plain; gutter: false> | <sxh plain; gutter: false> | ||
- | > 2*g_{ba}-G_{a}*G_{b} | + | > 2*G5*g_{ba}-G_{a}*G_{b}*G5 |
</sxh> | </sxh> | ||
+ | |||
+ | ---- | ||
+ | Use another notation for $\gamma$-matrices: | ||
+ | <sxh groovy; gutter: true> | ||
+ | defineMatrices 'F_a', 'F5', Matrix1.matrix | ||
+ | def dOrder = DiracOrder[[Gamma: 'F_a', Gamma5: 'F5']] | ||
+ | println dOrder >> 'F_b*F_a'.t | ||
+ | </sxh> | ||
+ | <sxh plain; gutter: false> | ||
+ | > 2*g_{ba}-F_{a}*F_{b} | ||
+ | </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:DiracSimplify]], [[documentation:ref:DiracTrace]], [[documentation:ref:SpinorsSimplify]] | ||
+ | * JavaDocs: [[http://api.redberry.cc/redberry/1.1.8/java-api//cc/redberry/physics/feyncalc/DiracOrderTransformation.html| DiracOrderTransformation]] | ||
+ | * Source code: [[https://bitbucket.org/redberry/redberry/src/tip/physics/src/main/java/cc/redberry/physics/feyncalc/DiracOrderTransformation.java|DiracOrderTransformation.java]] |