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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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Main Authors: Ahmed, M.A.A., Zainuddin, H., Shah, N.M.
Format: Article
Published: Elsevier 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102995/
https://linkinghub.elsevier.com/retrieve/pii/S2211379722003783
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spelling my.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
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.
format Article
author Ahmed, M.A.A.
Zainuddin, H.
Shah, N.M.
spellingShingle Ahmed, M.A.A.
Zainuddin, H.
Shah, N.M.
Real-time thermal self-energies: in the variational bases and spaces
author_facet Ahmed, M.A.A.
Zainuddin, H.
Shah, N.M.
author_sort Ahmed, M.A.A.
title 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_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_sort real-time thermal self-energies: in the variational bases and spaces
publisher Elsevier
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/102995/
https://linkinghub.elsevier.com/retrieve/pii/S2211379722003783
_version_ 1803336805995511808
score 13.211869

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