The 𝜙4 double-well theory admits a kink solution, whose rich phenomenology is strongly affected by the existence of a single bound excitation called the shape mode. We find that the leading quantum correction to the energy needed to excite the shape mode is −0.115567λ/M in terms of the coupling λ/4 and the meson mass M evaluated at the minimum of the potential. On the other hand, the correction to the continuum threshold is −0.433λ/M. A naive extrapolation to finite coupling then suggests that the shape mode melts into the continuum at the modest coupling of λ/4 ∼ 0.106M 2, where the ℤ 2 symmetry is still broken.
{ "_oai": { "updated": "2021-12-27T12:41:47Z", "id": "oai:repo.scoap3.org:64401", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "China", "value": "Institute of Modern Physics, NanChangLu 509, Lanzhou, 730000, China", "organization": "Institute of Modern Physics" }, { "country": "China", "value": "University of the Chinese Academy of Sciences, YuQuanLu 19A, Beijing, 100049, China", "organization": "University of the Chinese Academy of Sciences" } ], "surname": "Evslin", "email": "jarah@impcas.ac.cn", "full_name": "Evslin, Jarah", "given_names": "Jarah" } ], "titles": [ { "source": "Springer", "title": "Evidence for the unbinding of the \ud835\udf194 kink\u2019s shape mode" } ], "dois": [ { "value": "10.1007/JHEP09(2021)009" } ], "publication_info": [ { "page_end": "13", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2021", "artid": "JHEP09(2021)009", "year": 2021, "page_start": "1", "journal_issue": "9" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-12-27T12:32:38.458210", "source": "Springer", "method": "Springer", "submission_number": "b5593574671011ecbc4196e84b9c3210" }, "page_nr": [ 13 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "64401", "record_creation_date": "2021-09-03T15:30:16.064633", "_files": [ { "checksum": "md5:2401e095f48a9474e7fd8083ace92966", "filetype": "xml", "bucket": "ae7c96c0-b760-4204-946c-1e46e2753031", "version_id": "927110fa-d845-4c69-868f-0894c2774d38", "key": "10.1007/JHEP09(2021)009.xml", "size": 10859 }, { "checksum": "md5:648f3ed8c8cb5513c37a9bea5a50eedf", "filetype": "pdf/a", "bucket": "ae7c96c0-b760-4204-946c-1e46e2753031", "version_id": "268ff009-fe18-412d-b474-80bbb6a6cc24", "key": "10.1007/JHEP09(2021)009_a.pdf", "size": 295952 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "nlin.PS" ], "value": "2104.14387" } ], "abstracts": [ { "source": "Springer", "value": "The \ud835\udf194 double-well theory admits a kink solution, whose rich phenomenology is strongly affected by the existence of a single bound excitation called the shape mode. We find that the leading quantum correction to the energy needed to excite the shape mode is \u22120.115567\u03bb/M in terms of the coupling \u03bb/4 and the meson mass M evaluated at the minimum of the potential. On the other hand, the correction to the continuum threshold is \u22120.433\u03bb/M. A naive extrapolation to finite coupling then suggests that the shape mode melts into the continuum at the modest coupling of \u03bb/4 \u223c 0.106M 2, where the \u2124 2 symmetry is still broken." } ], "imprints": [ { "date": "2021-09-02", "publisher": "Springer" } ] }