Positivity bounds on effective field theories with spontaneously broken Lorentz invariance
Abstract We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green’s function of conserved currents (or of the stress-energy tensor) and assume the theory becomes conformal in the UV. The method is gener...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)201 |
| _version_ | 1811258814494670848 |
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| author | Paolo Creminelli Oliver Janssen Leonardo Senatore |
| author_facet | Paolo Creminelli Oliver Janssen Leonardo Senatore |
| author_sort | Paolo Creminelli |
| collection | DOAJ |
| description | Abstract We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green’s function of conserved currents (or of the stress-energy tensor) and assume the theory becomes conformal in the UV. The method is general and applicable to both cosmology and condensed matter systems. As a concrete example, we look at the EFT of conformal superfluids which describes the universal low-energy dynamics of CFT’s at large chemical potential and we derive inequalities on the coefficients of the operators, in three dimensions, at NLO and NNLO. |
| first_indexed | 2024-04-12T18:20:16Z |
| format | Article |
| id | doaj.art-eec428ae59a64184b061afdb93b58b6b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T18:20:16Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-eec428ae59a64184b061afdb93b58b6b2022-12-22T03:21:28ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022914310.1007/JHEP09(2022)201Positivity bounds on effective field theories with spontaneously broken Lorentz invariancePaolo Creminelli0Oliver Janssen1Leonardo Senatore2ICTP, International Centre for Theoretical PhysicsICTP, International Centre for Theoretical PhysicsInstitut für Theoretische Physik, ETH ZürichAbstract We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green’s function of conserved currents (or of the stress-energy tensor) and assume the theory becomes conformal in the UV. The method is general and applicable to both cosmology and condensed matter systems. As a concrete example, we look at the EFT of conformal superfluids which describes the universal low-energy dynamics of CFT’s at large chemical potential and we derive inequalities on the coefficients of the operators, in three dimensions, at NLO and NNLO.https://doi.org/10.1007/JHEP09(2022)201Effective Field TheoriesSpontaneous Symmetry Breaking |
| spellingShingle | Paolo Creminelli Oliver Janssen Leonardo Senatore Positivity bounds on effective field theories with spontaneously broken Lorentz invariance Journal of High Energy Physics Effective Field Theories Spontaneous Symmetry Breaking |
| title | Positivity bounds on effective field theories with spontaneously broken Lorentz invariance |
| title_full | Positivity bounds on effective field theories with spontaneously broken Lorentz invariance |
| title_fullStr | Positivity bounds on effective field theories with spontaneously broken Lorentz invariance |
| title_full_unstemmed | Positivity bounds on effective field theories with spontaneously broken Lorentz invariance |
| title_short | Positivity bounds on effective field theories with spontaneously broken Lorentz invariance |
| title_sort | positivity bounds on effective field theories with spontaneously broken lorentz invariance |
| topic | Effective Field Theories Spontaneous Symmetry Breaking |
| url | https://doi.org/10.1007/JHEP09(2022)201 |
| work_keys_str_mv | AT paolocreminelli positivityboundsoneffectivefieldtheorieswithspontaneouslybrokenlorentzinvariance AT oliverjanssen positivityboundsoneffectivefieldtheorieswithspontaneouslybrokenlorentzinvariance AT leonardosenatore positivityboundsoneffectivefieldtheorieswithspontaneouslybrokenlorentzinvariance |