Hidden role of antiunitary operators in Fierz transformation

15 Dec 2019 Herbut Igor F.

We show that whenever the symmetry group of a field theory commutes with one or more antiunitary operators $T$, which do not have to but may represent the reversal of physical time, the number of linearly independent contact two-body (quartic) terms is determined by the number of tensors that are even, or by the number of tensors that are odd, under such $T$. The choice depends on the sign of $T^2$ and on the statistics of the fields... (read more)

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  • HIGH ENERGY PHYSICS - THEORY
  • STRONGLY CORRELATED ELECTRONS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS