Real-time thermal self-energies: in the variational bases and spaces
In this work, we introduce a systematic study for studying the scalar propagator and tadpole self-energy by considering an arbitrary parameter σ that allows for a path integral description in real-time formalism (RTF). The closed time path formalism (CTP) and Thermofield Dynamics (TFD) are two popul...
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| Format: | Article |
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Elsevier
2022
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| _version_ | 1825938782849859584 |
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| author | Ahmed, M.A.A. Zainuddin, H. Shah, N.M. |
| author_facet | Ahmed, M.A.A. Zainuddin, H. Shah, N.M. |
| author_sort | Ahmed, M.A.A. |
| collection | UPM |
| description | In this work, we introduce a systematic study for studying the scalar propagator and tadpole self-energy by considering an arbitrary parameter σ that allows for a path integral description in real-time formalism (RTF). The closed time path formalism (CTP) and Thermofield Dynamics (TFD) are two popular choices for the parameter σ in the Feynman rules. We have constructed a scalar propagator and a tadpole self-energy in two different bases in the momentum space as well as the mixed space. The results show that the diagonal components of self-energy in both spaces for the 1/2 basis are the same in both approaches within RTF, whereas the other off-diagonal components of self-energy are different because they depend on the path parameter. On the other hand, the diagonal components of self-energy in both spaces for the new basis are not the same in both approaches within RTF, whereas the off-diagonal components of self-energy are vanishing. That means the new basis allows one to reduce the components for the quantities studied, like self-energy or other. |
| first_indexed | 2024-09-25T03:37:25Z |
| format | Article |
| id | upm.eprints-102995 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-09-25T03:37:25Z |
| publishDate | 2022 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | upm.eprints-1029952024-06-30T06:57:49Z http://psasir.upm.edu.my/id/eprint/102995/ Real-time thermal self-energies: in the variational bases and spaces Ahmed, M.A.A. Zainuddin, H. Shah, N.M. In this work, we introduce a systematic study for studying the scalar propagator and tadpole self-energy by considering an arbitrary parameter σ that allows for a path integral description in real-time formalism (RTF). The closed time path formalism (CTP) and Thermofield Dynamics (TFD) are two popular choices for the parameter σ in the Feynman rules. We have constructed a scalar propagator and a tadpole self-energy in two different bases in the momentum space as well as the mixed space. The results show that the diagonal components of self-energy in both spaces for the 1/2 basis are the same in both approaches within RTF, whereas the other off-diagonal components of self-energy are different because they depend on the path parameter. On the other hand, the diagonal components of self-energy in both spaces for the new basis are not the same in both approaches within RTF, whereas the off-diagonal components of self-energy are vanishing. That means the new basis allows one to reduce the components for the quantities studied, like self-energy or other. Elsevier 2022 Article PeerReviewed Ahmed, M.A.A. and Zainuddin, H. and Shah, N.M. (2022) Real-time thermal self-energies: in the variational bases and spaces. Results in Physics, 39. art. no. 105691. pp. 1-9. ISSN 2211-3797 https://linkinghub.elsevier.com/retrieve/pii/S2211379722003783 10.1016/j.rinp.2022.105691 |
| spellingShingle | Ahmed, M.A.A. Zainuddin, H. Shah, N.M. Real-time thermal self-energies: in the variational bases and spaces |
| title | Real-time thermal self-energies: in the variational bases and spaces |
| title_full | Real-time thermal self-energies: in the variational bases and spaces |
| title_fullStr | Real-time thermal self-energies: in the variational bases and spaces |
| title_full_unstemmed | Real-time thermal self-energies: in the variational bases and spaces |
| title_short | Real-time thermal self-energies: in the variational bases and spaces |
| title_sort | real time thermal self energies in the variational bases and spaces |
| work_keys_str_mv | AT ahmedmaa realtimethermalselfenergiesinthevariationalbasesandspaces AT zainuddinh realtimethermalselfenergiesinthevariationalbasesandspaces AT shahnm realtimethermalselfenergiesinthevariationalbasesandspaces |