Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910532887379968 |
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| author | Beane, Silas R. Orlando, Domenico Reffert, Susanne |
| author_facet | Beane, Silas R. Orlando, Domenico Reffert, Susanne |
| contents | The large-charge master field which generates all n-point correlation functions with an insertion of large charge Q in non-relativistic conformal field theory is obtained. This field is used to compute Schrödinger-invariant n-point correlation functions of large-charge operators via a direct evaluation of the path integral. Conformal dimensions are found to agree with calculations based on the state-operator correspondence. The master field solution exhibits an emergent harmonic trap whose frequency is a function of the Euclidean time. The large-charge effective action with operator insertions describes a droplet of superfluid matter whose spatial size scales with the time separation of sources. The solution is used to compute Schrödinger symmetry breaking corrections in the large-charge effective field theory (EFT) due to a finite scattering length in the fundamental theory of fermions near unitarity. The scaling of these effects in the large-charge power counting scheme is established, and the size of the effects is quantified using input from quantum Monte Carlo simulations of the near-unitary gas, as well as from the large-N expansion at large charge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18898 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory Beane, Silas R. Orlando, Domenico Reffert, Susanne High Energy Physics - Theory Quantum Gases High Energy Physics - Phenomenology Nuclear Theory The large-charge master field which generates all n-point correlation functions with an insertion of large charge Q in non-relativistic conformal field theory is obtained. This field is used to compute Schrödinger-invariant n-point correlation functions of large-charge operators via a direct evaluation of the path integral. Conformal dimensions are found to agree with calculations based on the state-operator correspondence. The master field solution exhibits an emergent harmonic trap whose frequency is a function of the Euclidean time. The large-charge effective action with operator insertions describes a droplet of superfluid matter whose spatial size scales with the time separation of sources. The solution is used to compute Schrödinger symmetry breaking corrections in the large-charge effective field theory (EFT) due to a finite scattering length in the fundamental theory of fermions near unitarity. The scaling of these effects in the large-charge power counting scheme is established, and the size of the effects is quantified using input from quantum Monte Carlo simulations of the near-unitary gas, as well as from the large-N expansion at large charge. |
| title | Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory |
| topic | High Energy Physics - Theory Quantum Gases High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2403.18898 |