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arXiv · 2208.12436

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

N. E. Mavromatos·Sarben Sarkar·A. Soto
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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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N. E. Mavromatos, Sarben Sarkar, A. Soto. 2022-08-26. Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction. https://doi.org/10.1016/j.nuclphysb.2022.116048

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