A bound on thermal relativistic correlators at large spacelike momenta
We consider thermal Wightman correlators in a relativistic quantum field theory in the limit where the spatial momenta of the insertions become large while their frequencies stay fixed. We show that, in this limit, the size of these correlators is bounded by $e^{-\beta R}$, where $R$ is the radius...
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| Format: | Article |
| Language: | English |
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SciPost
2020-04-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.8.4.064 |
| _version_ | 1830489816532254720 |
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| author | Souvik Banerjee, Kyriakos Papadodimas, Suvrat Raju, Prasant Samantray, Pushkal Shrivastava |
| author_facet | Souvik Banerjee, Kyriakos Papadodimas, Suvrat Raju, Prasant Samantray, Pushkal Shrivastava |
| author_sort | Souvik Banerjee, Kyriakos Papadodimas, Suvrat Raju, Prasant Samantray, Pushkal Shrivastava |
| collection | DOAJ |
| description | We consider thermal Wightman correlators in a relativistic quantum field theory in the limit where the spatial momenta of the insertions become large while their frequencies stay fixed. We show that, in this limit, the size of these correlators is bounded by $e^{-\beta R}$, where $R$ is the radius of the smallest sphere that contains the polygon formed by the momenta. We show that perturbative quantum field theories can saturate this bound through suitably high-order loop diagrams. We also consider holographic theories in $d$-spacetime
dimensions, where we show that the leading two-point function of generalized free-fields saturates the bound in $d = 2$ and is {\em below} the bound for $d > 2$. We briefly discuss interactions in holographic theories and conclude with a discussion of several open problems. |
| first_indexed | 2024-12-21T19:43:28Z |
| format | Article |
| id | doaj.art-d537902d281d4da3a2d1776b9d60394b |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-21T19:43:28Z |
| publishDate | 2020-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-d537902d281d4da3a2d1776b9d60394b2022-12-21T18:52:24ZengSciPostSciPost Physics2542-46532020-04-018406410.21468/SciPostPhys.8.4.064A bound on thermal relativistic correlators at large spacelike momentaSouvik Banerjee, Kyriakos Papadodimas, Suvrat Raju, Prasant Samantray, Pushkal ShrivastavaWe consider thermal Wightman correlators in a relativistic quantum field theory in the limit where the spatial momenta of the insertions become large while their frequencies stay fixed. We show that, in this limit, the size of these correlators is bounded by $e^{-\beta R}$, where $R$ is the radius of the smallest sphere that contains the polygon formed by the momenta. We show that perturbative quantum field theories can saturate this bound through suitably high-order loop diagrams. We also consider holographic theories in $d$-spacetime dimensions, where we show that the leading two-point function of generalized free-fields saturates the bound in $d = 2$ and is {\em below} the bound for $d > 2$. We briefly discuss interactions in holographic theories and conclude with a discussion of several open problems.https://scipost.org/SciPostPhys.8.4.064 |
| spellingShingle | Souvik Banerjee, Kyriakos Papadodimas, Suvrat Raju, Prasant Samantray, Pushkal Shrivastava A bound on thermal relativistic correlators at large spacelike momenta SciPost Physics |
| title | A bound on thermal relativistic correlators at large spacelike momenta |
| title_full | A bound on thermal relativistic correlators at large spacelike momenta |
| title_fullStr | A bound on thermal relativistic correlators at large spacelike momenta |
| title_full_unstemmed | A bound on thermal relativistic correlators at large spacelike momenta |
| title_short | A bound on thermal relativistic correlators at large spacelike momenta |
| title_sort | bound on thermal relativistic correlators at large spacelike momenta |
| url | https://scipost.org/SciPostPhys.8.4.064 |
| work_keys_str_mv | AT souvikbanerjeekyriakospapadodimassuvratrajuprasantsamantraypushkalshrivastava aboundonthermalrelativisticcorrelatorsatlargespacelikemomenta AT souvikbanerjeekyriakospapadodimassuvratrajuprasantsamantraypushkalshrivastava boundonthermalrelativisticcorrelatorsatlargespacelikemomenta |