Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results
Abstract Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different massless self-interacting scalar quantum field theo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)094 |
| _version_ | 1827900060930670592 |
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| author | Spasen Chaykov Nishant Agarwal Sina Bahrami R. Holman |
| author_facet | Spasen Chaykov Nishant Agarwal Sina Bahrami R. Holman |
| author_sort | Spasen Chaykov |
| collection | DOAJ |
| description | Abstract Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different massless self-interacting scalar quantum field theories on a Minkowski background, starting the field evolution at an arbitrary initial time. We find the counterterms that need to be added to UV-renormalize the result, including usual in-out counterterms in the dynamics and additional initial state counterterms that are required to cancel all UV divergences. We find that the late-time limit of the renormalized correlation function exhibits a linear or logarithmic growth in time, depending on whether the interaction strength is dimension-one or dimensionless, respectively. The late-time correlations match those obtained in our companion paper and, as shown there, the divergences do not indicate a real IR issue, consistent with what one would expect in Minkowski. |
| first_indexed | 2024-03-12T23:25:55Z |
| format | Article |
| id | doaj.art-1e8f768b687e4435ac506aa85c2237f7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:25:55Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1e8f768b687e4435ac506aa85c2237f72023-07-16T11:07:05ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023211910.1007/JHEP02(2023)094Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time resultsSpasen Chaykov0Nishant Agarwal1Sina Bahrami2R. Holman3Department of Physics and Applied Physics, University of MassachusettsDepartment of Physics and Applied Physics, University of MassachusettsInstitute for Gravitation and the Cosmos, The Pennsylvania State UniversityMinerva UniversityAbstract Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different massless self-interacting scalar quantum field theories on a Minkowski background, starting the field evolution at an arbitrary initial time. We find the counterterms that need to be added to UV-renormalize the result, including usual in-out counterterms in the dynamics and additional initial state counterterms that are required to cancel all UV divergences. We find that the late-time limit of the renormalized correlation function exhibits a linear or logarithmic growth in time, depending on whether the interaction strength is dimension-one or dimensionless, respectively. The late-time correlations match those obtained in our companion paper and, as shown there, the divergences do not indicate a real IR issue, consistent with what one would expect in Minkowski.https://doi.org/10.1007/JHEP02(2023)094Non-Equilibrium Field TheoryRenormalization and RegularizationEffective Field Theories |
| spellingShingle | Spasen Chaykov Nishant Agarwal Sina Bahrami R. Holman Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results Journal of High Energy Physics Non-Equilibrium Field Theory Renormalization and Regularization Effective Field Theories |
| title | Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results |
| title_full | Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results |
| title_fullStr | Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results |
| title_full_unstemmed | Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results |
| title_short | Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results |
| title_sort | loop corrections in minkowski spacetime away from equilibrium part ii finite time results |
| topic | Non-Equilibrium Field Theory Renormalization and Regularization Effective Field Theories |
| url | https://doi.org/10.1007/JHEP02(2023)094 |
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