Generalized Heisenberg–Euler formula in Abelian gauge theory with parity violation

Generalized Heisenberg–Euler formula in Abelian gauge theory with parity violation

A generalized Heisenberg–Euler formula is given for an Abelian gauge theory having vector as well as axial vector couplings to a massive fermion. So, the formula is applicable to a parity-violating theory. The gauge group is chosen to be $U(1)$. The formula is quite similar to that in quantum electr...

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Veröffentlicht in:Progress of theoretical and experimental physics 2017-12, Vol.2017 (12)
Hauptverfasser: Yamashita, Kimiko, Fan, Xing, Kamioka, Shusei, Asai, Shoji, Sugamoto, Akio
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Fan, Xing
Kamioka, Shusei
Asai, Shoji
Sugamoto, Akio
description A generalized Heisenberg–Euler formula is given for an Abelian gauge theory having vector as well as axial vector couplings to a massive fermion. So, the formula is applicable to a parity-violating theory. The gauge group is chosen to be $U(1)$. The formula is quite similar to that in quantum electrodynamics, but there is a complexity in which one factor (related to spin) is expressed in terms of the expectation value. The expectation value is evaluated by the contraction with the one-dimensional propagator in a given background field. The formula affords a basis to the vacuum magnetic birefringence experiment, which aims to probe the dark sector, where the interactions of the light fermions with the gauge fields are not necessarily parity conserving.
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title Generalized Heisenberg–Euler formula in Abelian gauge theory with parity violation
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