We study a paradigmatic model in field theory where a global and scale symmetries are jointly and spontaneously broken. At zero density the model has a noncompact flat direction, which at finite density needs to be slightly lifted. The resulting low-energy spectrum is composed by a standard gapless Nambu-Goldstone mode and a light dilaton whose gap is determined by the chemical potential and corrected by the couplings. Even though and scale symmetries commute, there is a mixing between the Nambu-Goldstone and the dilaton that is crucial to recover the expected dynamics of a conformal fluid and leads to a phonon propagating at the speed of sound. The results rely solely on an accurate study of the Ward-Takahashi identities and are checked against standard fluctuation computations. We extend our results to a boosted superfluid, and comment the relevance of our findings to condensed matter applications.
{ "_oai": { "updated": "2021-08-29T13:07:58Z", "id": "oai:repo.scoap3.org:57607", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Riccardo Argurio", "affiliations": [ { "country": "Belgium", "value": "Physique Th\u00e9orique et Math\u00e9matique and International Solvay Institutes, Universit\u00e9 Libre de Bruxelles, C.P. 231, B-1050 Brussels, Belgium" } ], "surname": "Argurio", "given_names": "Riccardo", "full_name": "Argurio, Riccardo" }, { "raw_name": "Carlos Hoyos", "affiliations": [ { "country": "Spain", "value": "Department of Physics and Instituto de Ciencias y Tecnolog\u00edas Espaciales de Asturias (ICTEA), Universidad de Oviedo, c/ Federico Garc\u00eda Lorca 18, E-33007 Oviedo, Spain" } ], "surname": "Hoyos", "given_names": "Carlos", "full_name": "Hoyos, Carlos" }, { "raw_name": "Daniele Musso", "affiliations": [ { "country": "Spain", "value": "Departamento de F\u00edsica de Part\u00edculas and Instituto Galego de F\u00edsica de Altas Enerx\u00edas (IGFAE), Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain Inovalabs Digital S.L. (TECHEYE), E-36202 Vigo, Spain" } ], "surname": "Musso", "given_names": "Daniele", "full_name": "Musso, Daniele" }, { "raw_name": "Daniel Naegels", "affiliations": [ { "country": "Belgium", "value": "Physique Th\u00e9orique et Math\u00e9matique and International Solvay Institutes, Universit\u00e9 Libre de Bruxelles, C.P. 231, B-1050 Brussels, Belgium" } ], "surname": "Naegels", "given_names": "Daniel", "full_name": "Naegels, Daniel" } ], "titles": [ { "source": "APS", "title": "Gapped dilatons in scale invariant superfluids" } ], "dois": [ { "value": "10.1103/PhysRevD.102.076011" } ], "publication_info": [ { "journal_volume": "102", "journal_title": "Physical Review D", "material": "article", "journal_issue": "7", "year": 2020 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-08-25T10:42:44.446469", "source": "APS", "method": "APS", "submission_number": "810b323c058f11ecb53772fd3742099d" }, "page_nr": [ 13 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2020" } ], "control_number": "57607", "record_creation_date": "2020-10-19T18:30:03.708171", "_files": [ { "checksum": "md5:9589f098044b6a561bfa61beaf33075c", "filetype": "pdf", "bucket": "84c1319d-2fe1-4018-a4df-3e69b814dc61", "version_id": "4230e404-1239-405e-86d5-0f39b2e8a7f1", "key": "10.1103/PhysRevD.102.076011.pdf", "size": 294098 }, { "checksum": "md5:dfdd99c3e215a9e34ae7213eade16c9c", "filetype": "xml", "bucket": "84c1319d-2fe1-4018-a4df-3e69b814dc61", "version_id": "641d3488-11a0-470e-b4cb-5a0d0aa05f34", "key": "10.1103/PhysRevD.102.076011.xml", "size": 249569 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "cond-mat.quant-gas", "cond-mat.str-el", "hep-ph" ], "value": "2006.11047" } ], "abstracts": [ { "source": "APS", "value": "We study a paradigmatic model in field theory where a global <math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math> and scale symmetries are jointly and spontaneously broken. At zero density the model has a noncompact flat direction, which at finite density needs to be slightly lifted. The resulting low-energy spectrum is composed by a standard gapless <math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math> Nambu-Goldstone mode and a light dilaton whose gap is determined by the chemical potential and corrected by the couplings. Even though <math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math> and scale symmetries commute, there is a mixing between the <math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math> Nambu-Goldstone and the dilaton that is crucial to recover the expected dynamics of a conformal fluid and leads to a phonon propagating at the speed of sound. The results rely solely on an accurate study of the Ward-Takahashi identities and are checked against standard fluctuation computations. We extend our results to a boosted superfluid, and comment the relevance of our findings to condensed matter applications." } ], "imprints": [ { "date": "2020-10-19", "publisher": "APS" } ] }