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

N.E. Mavromatos; Sarben Sarkar; A. Soto

doi:10.1016/j.nuclphysb.2022.116048

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 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.

Original language	English
Article number	116048
Journal	Nuclear Physics B
Volume	986
DOIs	https://doi.org/10.1016/j.nuclphysb.2022.116048
Publication status	Published - 1 Jan 2023

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10.1016/j.nuclphysb.2022.116048Licence: CC BY

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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)",

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doi = "10.1016/j.nuclphysb.2022.116048",

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T1 - Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction

AU - Mavromatos, N.E.

AU - Sarkar, Sarben

AU - Soto, A.

N1 - 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: © 2022 The Author(s)

PY - 2023/1/1

Y1 - 2023/1/1

N2 - 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.

AB - 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.

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U2 - 10.1016/j.nuclphysb.2022.116048

DO - 10.1016/j.nuclphysb.2022.116048

M3 - Article

SN - 0550-3213

VL - 986

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

M1 - 116048

ER -

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

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