Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction
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 couplin...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-01-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322003996 |
| _version_ | 1811177272603836416 |
|---|---|
| author | N.E. Mavromatos Sarben Sarkar A. Soto |
| author_facet | N.E. Mavromatos Sarben Sarkar A. Soto |
| author_sort | N.E. Mavromatos |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T23:00:01Z |
| format | Article |
| id | doaj.art-3e65c3d06f4d40cf809543dbcfddf273 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-10T23:00:01Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-3e65c3d06f4d40cf809543dbcfddf2732023-01-14T04:25:29ZengElsevierNuclear Physics B0550-32132023-01-01986116048Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interactionN.E. Mavromatos0Sarben Sarkar1A. Soto2Physics Department, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Athens 157 80, Greece; Theoretical Particle Physics and Cosmology Group, Department of Physics, King's College London, Strand, London WC2R 2LS, UKTheoretical Particle Physics and Cosmology Group, Department of Physics, King's College London, Strand, London WC2R 2LS, UK; Corresponding author.School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, UKA 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.http://www.sciencedirect.com/science/article/pii/S0550321322003996 |
| spellingShingle | N.E. Mavromatos Sarben Sarkar A. Soto Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction Nuclear Physics B |
| title | Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction |
| title_full | Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction |
| title_fullStr | Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction |
| title_full_unstemmed | Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction |
| title_short | Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction |
| title_sort | schwinger dyson equations and mass generation for an axion theory with a pt symmetric yukawa fermion interaction |
| url | http://www.sciencedirect.com/science/article/pii/S0550321322003996 |
| work_keys_str_mv | AT nemavromatos schwingerdysonequationsandmassgenerationforanaxiontheorywithaptsymmetricyukawafermioninteraction AT sarbensarkar schwingerdysonequationsandmassgenerationforanaxiontheorywithaptsymmetricyukawafermioninteraction AT asoto schwingerdysonequationsandmassgenerationforanaxiontheorywithaptsymmetricyukawafermioninteraction |