Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field Method
The aim of this work is to investigate the connection between thermal gap-coupled equations and the concept of symmetry restoration. For that, we consider the Yukawa model, a standard model for interactions between massless fermions mediated by a real self-interacting scalar field. To explore possib...
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2024-12-01
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| author | Anderson A. Nogueira Fábio L. Braghin |
| author_facet | Anderson A. Nogueira Fábio L. Braghin |
| author_sort | Anderson A. Nogueira |
| collection | DOAJ |
| description | The aim of this work is to investigate the connection between thermal gap-coupled equations and the concept of symmetry restoration. For that, we consider the Yukawa model, a standard model for interactions between massless fermions mediated by a real self-interacting scalar field. To explore possible symmetry restoration, we study the thermal gap-coupled equations using the auxiliary field method (Hubbard–Stratonovich), and then we derive the effective action with thermal contributions through the background external fields method. With the thermal contributions for the effective action, we investigate the phase transitions and critical phenomena in an environment featuring mixing angles arising from the quantum description of composite states. Finally, we present the Dolan–Jackiw equations to determine the critical temperatures. |
| format | Article |
| id | doaj-art-ba03c6bec70148cdaf47b7437468f72d |
| institution | Kabale University |
| issn | 2218-1997 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-ba03c6bec70148cdaf47b7437468f72d2025-01-24T13:51:27ZengMDPI AGUniverse2218-19972024-12-01111310.3390/universe11010003Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field MethodAnderson A. Nogueira0Fábio L. Braghin1Institute of Physics and Chemistry, Federal University of Itajubá, Itajubá 37500-903, BrazilInstitute of Physics, Federal University of Goiás, Goiânia 74690-900, BrazilThe aim of this work is to investigate the connection between thermal gap-coupled equations and the concept of symmetry restoration. For that, we consider the Yukawa model, a standard model for interactions between massless fermions mediated by a real self-interacting scalar field. To explore possible symmetry restoration, we study the thermal gap-coupled equations using the auxiliary field method (Hubbard–Stratonovich), and then we derive the effective action with thermal contributions through the background external fields method. With the thermal contributions for the effective action, we investigate the phase transitions and critical phenomena in an environment featuring mixing angles arising from the quantum description of composite states. Finally, we present the Dolan–Jackiw equations to determine the critical temperatures.https://www.mdpi.com/2218-1997/11/1/3quantum field theoryfinite temperature |
| spellingShingle | Anderson A. Nogueira Fábio L. Braghin Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field Method Universe quantum field theory finite temperature |
| title | Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field Method |
| title_full | Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field Method |
| title_fullStr | Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field Method |
| title_full_unstemmed | Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field Method |
| title_short | Symmetry Restorations in the Singlet Scalar Yukawa Model Within the Auxiliary Field Method |
| title_sort | symmetry restorations in the singlet scalar yukawa model within the auxiliary field method |
| topic | quantum field theory finite temperature |
| url | https://www.mdpi.com/2218-1997/11/1/3 |
| work_keys_str_mv | AT andersonanogueira symmetryrestorationsinthesingletscalaryukawamodelwithintheauxiliaryfieldmethod AT fabiolbraghin symmetryrestorationsinthesingletscalaryukawamodelwithintheauxiliaryfieldmethod |