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DiracSimplify

Description

  • DiracSimplify simplifies products of gamma matrices
  • By default DiracSimplify works in $D = 4$; for arbitrary $D$ one can use option DiracSimplify[[Dimension: D]]
  • One can directly set trace of identity matrix (e.g. for dimensional regularisation): DiracSimplify[[Dimension: D, TraceOfOne: 4]]
  • By default DiracSimplify uses notation G_m for $\gamma_m$ and G5 for $\gamma_5$. DiracSimplify[G, G5] or DiracSimplify[[Gamma: G, Gamma5: G5]] specifies the notation for $\gamma_m$ and $\gamma_5$.
  • DiracSimplify[[Simplifications: rules]] will apply additional simplification rules to each processed product of gammas

Examples

Calculate trace of $\gamma$-matrices: 

defineMatrices 'G_a', 'G5', Matrix1.matrix
println DiracTrace >> 'Tr[G_a*G_b]'.t

   > 4*g_ab

See also