@article{c7f4d72233ab4c06bcd2f751b1d84099,
title = "Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction",
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 λ 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 λ.",
author = "N.E. Mavromatos and Sarben Sarkar and A. Soto",
note = "Funding Information: We would like to thank Carl Bender and Wen-Yuan Ai for valuable discussions. The work of N.E.M. and S.S. is supported in part by the UK Science and Technology Facilities research Council ( STFC ) and UK Engineering and Physical Sciences Research Council ( EPSRC ) under the research grants ST/T000759/1 and EP/V002821/1 , respectively. NEM acknowledges participation in the COST Association Action CA18108 Quantum Gravity Phenomenology in the Multimessenger Approach (QG-MM). Publisher Copyright: {\textcopyright} 2022 The Author(s)",
year = "2023",
month = jan,
day = "1",
doi = "10.1016/j.nuclphysb.2022.116048",
language = "English",
volume = "986",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
}