Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements
Abstract The unitary Fermi gas, by virtue of its description as a nonrelativistic conformal field theory, has proven an interesting system by which the quantum properties of CFTs can be held to experimental verification. Here, we examine the structure of conformal dimensions of charge-Q operators in...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2022)135 |
| _version_ | 1818156655143026688 |
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| author | Simeon Hellerman Domenico Orlando Vito Pellizzani Susanne Reffert Ian Swanson |
| author_facet | Simeon Hellerman Domenico Orlando Vito Pellizzani Susanne Reffert Ian Swanson |
| author_sort | Simeon Hellerman |
| collection | DOAJ |
| description | Abstract The unitary Fermi gas, by virtue of its description as a nonrelativistic conformal field theory, has proven an interesting system by which the quantum properties of CFTs can be held to experimental verification. Here, we examine the structure of conformal dimensions of charge-Q operators in nonrelativistic CFTs, in the large-Q regime, from the non-linear sigma model perspective. We discuss in detail the renormalization of edge divergences using dimensional regularization, elucidating the presence of log(Q) terms in the large-charge expansion. Finally, we use dimensional regularization to compute the universal one-loop Q 0 log Q contribution to the ground-state energy in d = 3 spatial dimensions, with the result Δ Q Q 0 = 1 3 3 log Q + $$ \Delta {(Q)}_{Q^0}=\frac{1}{3\sqrt{3}}\log (Q)+ $$ const. |
| first_indexed | 2024-12-11T15:01:45Z |
| format | Article |
| id | doaj.art-773cbd3acfd54c1e9ea369e35030a553 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T15:01:45Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-773cbd3acfd54c1e9ea369e35030a5532022-12-22T01:01:07ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022512210.1007/JHEP05(2022)135Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancementsSimeon Hellerman0Domenico Orlando1Vito Pellizzani2Susanne Reffert3Ian Swanson4Kavli Institute for the Physics and Mathematics of the Universe (wpi), The University of TokyoINFN sezione di TorinoAlbert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernAlbert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernKavli Institute for the Physics and Mathematics of the Universe (wpi), The University of TokyoAbstract The unitary Fermi gas, by virtue of its description as a nonrelativistic conformal field theory, has proven an interesting system by which the quantum properties of CFTs can be held to experimental verification. Here, we examine the structure of conformal dimensions of charge-Q operators in nonrelativistic CFTs, in the large-Q regime, from the non-linear sigma model perspective. We discuss in detail the renormalization of edge divergences using dimensional regularization, elucidating the presence of log(Q) terms in the large-charge expansion. Finally, we use dimensional regularization to compute the universal one-loop Q 0 log Q contribution to the ground-state energy in d = 3 spatial dimensions, with the result Δ Q Q 0 = 1 3 3 log Q + $$ \Delta {(Q)}_{Q^0}=\frac{1}{3\sqrt{3}}\log (Q)+ $$ const.https://doi.org/10.1007/JHEP05(2022)135Conformal and W SymmetryConformal Field TheoryEffective Field TheoriesGlobal Symmetries |
| spellingShingle | Simeon Hellerman Domenico Orlando Vito Pellizzani Susanne Reffert Ian Swanson Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Effective Field Theories Global Symmetries |
| title | Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements |
| title_full | Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements |
| title_fullStr | Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements |
| title_full_unstemmed | Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements |
| title_short | Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements |
| title_sort | nonrelativistic cfts at large charge casimir energy and logarithmic enhancements |
| topic | Conformal and W Symmetry Conformal Field Theory Effective Field Theories Global Symmetries |
| url | https://doi.org/10.1007/JHEP05(2022)135 |
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