TY - JOUR
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.
UR - http://www.scopus.com/inward/record.url?scp=85144456039&partnerID=8YFLogxK
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 -