Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time Formalism
Abstract We investigate the temperature dependence of the mass scale, running coupling constant, and running mass in thermal ϕ 4 theory using the Imaginary Time Formalism (ITF). Employing dimensional regularization and the minimal subtraction scheme, we compute the self-energy up to two-loop order....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)178 |
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| author | K. Arjun A. M. Vinodkumar Vishnu Mayya Bannur Munshi G. Mustafa |
| author_facet | K. Arjun A. M. Vinodkumar Vishnu Mayya Bannur Munshi G. Mustafa |
| author_sort | K. Arjun |
| collection | DOAJ |
| description | Abstract We investigate the temperature dependence of the mass scale, running coupling constant, and running mass in thermal ϕ 4 theory using the Imaginary Time Formalism (ITF). Employing dimensional regularization and the minimal subtraction scheme, we compute the self-energy up to two-loop order. We introduce a novel Self-Energy Approximation (SEA), which equates the thermal and non-thermal self-energies in the zero external momentum limit. This approximation, combined with the renormalization group equation, imposes constraints that naturally lead to a temperature-dependent mass scale, μ(T), ensuring consistent behavior of the running coupling constant and running mass at finite temperatures. Using these results, the free energy density is evaluated at two-loop order and compared with the quasiparticle model. |
| format | Article |
| id | doaj-art-e7742b8af786454aadce89d65502a8b5 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e7742b8af786454aadce89d65502a8b52025-08-20T03:09:35ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025413310.1007/JHEP04(2025)178Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time FormalismK. Arjun0A. M. Vinodkumar1Vishnu Mayya Bannur2Munshi G. Mustafa3Srinivasa Ramanujan Institute For Basic SciencesDepartment of Physics, University of CalicutDepartment of Physics, University of CalicutDepartment of Physics, IIT BombayAbstract We investigate the temperature dependence of the mass scale, running coupling constant, and running mass in thermal ϕ 4 theory using the Imaginary Time Formalism (ITF). Employing dimensional regularization and the minimal subtraction scheme, we compute the self-energy up to two-loop order. We introduce a novel Self-Energy Approximation (SEA), which equates the thermal and non-thermal self-energies in the zero external momentum limit. This approximation, combined with the renormalization group equation, imposes constraints that naturally lead to a temperature-dependent mass scale, μ(T), ensuring consistent behavior of the running coupling constant and running mass at finite temperatures. Using these results, the free energy density is evaluated at two-loop order and compared with the quasiparticle model.https://doi.org/10.1007/JHEP04(2025)178Renormalization GroupThermal Field Theory |
| spellingShingle | K. Arjun A. M. Vinodkumar Vishnu Mayya Bannur Munshi G. Mustafa Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time Formalism Journal of High Energy Physics Renormalization Group Thermal Field Theory |
| title | Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time Formalism |
| title_full | Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time Formalism |
| title_fullStr | Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time Formalism |
| title_full_unstemmed | Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time Formalism |
| title_short | Self-Energy approximation for the running coupling constant in thermal ϕ 4 theory using Imaginary Time Formalism |
| title_sort | self energy approximation for the running coupling constant in thermal ϕ 4 theory using imaginary time formalism |
| topic | Renormalization Group Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP04(2025)178 |
| work_keys_str_mv | AT karjun selfenergyapproximationfortherunningcouplingconstantinthermalph4theoryusingimaginarytimeformalism AT amvinodkumar selfenergyapproximationfortherunningcouplingconstantinthermalph4theoryusingimaginarytimeformalism AT vishnumayyabannur selfenergyapproximationfortherunningcouplingconstantinthermalph4theoryusingimaginarytimeformalism AT munshigmustafa selfenergyapproximationfortherunningcouplingconstantinthermalph4theoryusingimaginarytimeformalism |