Correlation functions in scalar field theory at large charge
Abstract We compute general higher-point functions in the sector of large charge operators ϕn, ϕ ¯ n $$ {\overline{\phi}}^n $$ at large charge in O(2) ϕ ¯ ϕ 2 $$ {\left(\overline{\phi}\phi \right)}^2 $$ theory. We find that there is a special class of “extremal” correlators having only one insertion...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)171 |
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| author | G. Arias-Tamargo D. Rodriguez-Gomez J. G. Russo |
| author_facet | G. Arias-Tamargo D. Rodriguez-Gomez J. G. Russo |
| author_sort | G. Arias-Tamargo |
| collection | DOAJ |
| description | Abstract We compute general higher-point functions in the sector of large charge operators ϕn, ϕ ¯ n $$ {\overline{\phi}}^n $$ at large charge in O(2) ϕ ¯ ϕ 2 $$ {\left(\overline{\phi}\phi \right)}^2 $$ theory. We find that there is a special class of “extremal” correlators having only one insertion of ϕ ¯ n $$ {\overline{\phi}}^n $$ that have a remarkably simple form in the double-scaling limit n →∞ at fixed g n2 ≡ λ, where g ~ ϵ is the coupling at the O(2) Wilson-Fisher fixed point in 4 − ϵ dimensions. In this limit, also non-extremal correlators can be computed. As an example, we give the complete formula for ϕ x 1 n ϕ x 2 n ϕ ¯ x 3 n ϕ ¯ x 4 n $$ \left\langle \phi {\left({x}_1\right)}^n\phi {\left({x}_2\right)}^n\overline{\phi}{\left({x}_3\right)}^n\overline{\phi}{\left({x}_4\right)}^n\right\rangle $$ , which reveals an interesting structure. |
| format | Article |
| id | doaj-art-7db222173e2d4369bf42aa5b31dc1d3c |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-7db222173e2d4369bf42aa5b31dc1d3c2025-02-09T12:06:03ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020111310.1007/JHEP01(2020)171Correlation functions in scalar field theory at large chargeG. Arias-Tamargo0D. Rodriguez-Gomez1J. G. Russo2Department of Physics, Universidad de OviedoDepartment of Physics, Universidad de OviedoInstitució Catalana de Recerca i Estudis Avançats (ICREA)Abstract We compute general higher-point functions in the sector of large charge operators ϕn, ϕ ¯ n $$ {\overline{\phi}}^n $$ at large charge in O(2) ϕ ¯ ϕ 2 $$ {\left(\overline{\phi}\phi \right)}^2 $$ theory. We find that there is a special class of “extremal” correlators having only one insertion of ϕ ¯ n $$ {\overline{\phi}}^n $$ that have a remarkably simple form in the double-scaling limit n →∞ at fixed g n2 ≡ λ, where g ~ ϵ is the coupling at the O(2) Wilson-Fisher fixed point in 4 − ϵ dimensions. In this limit, also non-extremal correlators can be computed. As an example, we give the complete formula for ϕ x 1 n ϕ x 2 n ϕ ¯ x 3 n ϕ ¯ x 4 n $$ \left\langle \phi {\left({x}_1\right)}^n\phi {\left({x}_2\right)}^n\overline{\phi}{\left({x}_3\right)}^n\overline{\phi}{\left({x}_4\right)}^n\right\rangle $$ , which reveals an interesting structure.https://doi.org/10.1007/JHEP01(2020)171Conformal Field TheoryGlobal Symmetries |
| spellingShingle | G. Arias-Tamargo D. Rodriguez-Gomez J. G. Russo Correlation functions in scalar field theory at large charge Journal of High Energy Physics Conformal Field Theory Global Symmetries |
| title | Correlation functions in scalar field theory at large charge |
| title_full | Correlation functions in scalar field theory at large charge |
| title_fullStr | Correlation functions in scalar field theory at large charge |
| title_full_unstemmed | Correlation functions in scalar field theory at large charge |
| title_short | Correlation functions in scalar field theory at large charge |
| title_sort | correlation functions in scalar field theory at large charge |
| topic | Conformal Field Theory Global Symmetries |
| url | https://doi.org/10.1007/JHEP01(2020)171 |
| work_keys_str_mv | AT gariastamargo correlationfunctionsinscalarfieldtheoryatlargecharge AT drodriguezgomez correlationfunctionsinscalarfieldtheoryatlargecharge AT jgrusso correlationfunctionsinscalarfieldtheoryatlargecharge |