Non-relativistic conformal field theory in momentum space
Abstract Non-relativistic conformal field theory describes many-body physics at unitarity. The correlation functions of the system are fixed by the requirement of the conformal invariance. In this article, we discuss the correlation functions of scalar operators in non-relativistic conformal field t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14119-8 |
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| _version_ | 1849699603158401024 |
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| author | Rajesh Kumar Gupta Meenu |
| author_facet | Rajesh Kumar Gupta Meenu |
| author_sort | Rajesh Kumar Gupta |
| collection | DOAJ |
| description | Abstract Non-relativistic conformal field theory describes many-body physics at unitarity. The correlation functions of the system are fixed by the requirement of the conformal invariance. In this article, we discuss the correlation functions of scalar operators in non-relativistic conformal field theories in momentum space. We discuss the solution of conformal Ward identities and express 2,3, and 4-point functions as a function of energy and momentum. We also express the 3- and 4-point functions as the one-loop and three-loop Feynman diagram computations in the momentum space. Lastly, we generalize the discussion to the momentum space correlation functions in the presence of a boundary. |
| format | Article |
| id | doaj-art-ca2bddd3dcda4ad3bcc78629d4483144 |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-ca2bddd3dcda4ad3bcc78629d44831442025-08-20T03:18:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-0185411210.1140/epjc/s10052-025-14119-8Non-relativistic conformal field theory in momentum spaceRajesh Kumar Gupta0Meenu1Department of Physics, Indian Institute of Technology RoparDepartment of Physics, Indian Institute of Technology RoparAbstract Non-relativistic conformal field theory describes many-body physics at unitarity. The correlation functions of the system are fixed by the requirement of the conformal invariance. In this article, we discuss the correlation functions of scalar operators in non-relativistic conformal field theories in momentum space. We discuss the solution of conformal Ward identities and express 2,3, and 4-point functions as a function of energy and momentum. We also express the 3- and 4-point functions as the one-loop and three-loop Feynman diagram computations in the momentum space. Lastly, we generalize the discussion to the momentum space correlation functions in the presence of a boundary.https://doi.org/10.1140/epjc/s10052-025-14119-8 |
| spellingShingle | Rajesh Kumar Gupta Meenu Non-relativistic conformal field theory in momentum space European Physical Journal C: Particles and Fields |
| title | Non-relativistic conformal field theory in momentum space |
| title_full | Non-relativistic conformal field theory in momentum space |
| title_fullStr | Non-relativistic conformal field theory in momentum space |
| title_full_unstemmed | Non-relativistic conformal field theory in momentum space |
| title_short | Non-relativistic conformal field theory in momentum space |
| title_sort | non relativistic conformal field theory in momentum space |
| url | https://doi.org/10.1140/epjc/s10052-025-14119-8 |
| work_keys_str_mv | AT rajeshkumargupta nonrelativisticconformalfieldtheoryinmomentumspace AT meenu nonrelativisticconformalfieldtheoryinmomentumspace |