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Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction

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arxiv 2208.12436 v1 pith:ZXE7KGV4 submitted 2022-08-26 hep-ph

classification hep-ph
keywords axionequationsfermionmassschwinger-dysonanalysiscouplingsgeneration
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abstract

A nonperturbative Schwinger-Dyson analysis of mass generation is presented for a non-Hermitian PT-symmetric field theory in four dimensions of an axion coupled to a Dirac fermion.The model is motivated by phenomenological considerations.The axion has a quartic self-coupling $\lambda$ and a Yukawa coupling $g$ to the fermion. The Schwinger-Dyson equations are derived for the model with generic couplings. In the non-Hermitian case there is an additional nonperturbative contribution to the scalar mass. In a simplified rainbow analysis the solutions for the SD equations, are given for different regimes of the couplings $g$ and $\lambda$.

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