DiracMatrices.h

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#ifndef AMPGEN_DIRACMATRICES_H
#define AMPGEN_DIRACMATRICES_H
 
#include <array>
 
#include "AmpGen/Tensor.h"
#include "AmpGen/Expression.h"
 
namespace AmpGen {
  extern const Expression I;                 // Imaginary unit
  extern const Expression Z;                 // Zero
  extern const std::array<Tensor, 5> Gamma;  // Gamma matrices, orderered weirdly due to ROOT convention, so Gamma[{0,1,2}] = gamma[{1,2,3}] and Gamma[3] =
                                             // gamma[0] where gamma are the gamma matrices in the more conventional ordering.
  extern const std::array<Tensor, 3> Sigma;  // The pauli matrices
  extern const std::array<Tensor, 3> Sigma4; // The pauli matrices acting on bispinors
  extern const std::array<Tensor, 3> SO3;    // basis elements for the vector reprsentation of SO(3)
  extern const std::array<Tensor, 8> SU3;    // basis elements for the vector representation of SU(3), i.e. the Gell-Mann matrices
} // namespace AmpGen
 
#endif