We study the existence and stability of -balls in noncanonical scalar field theories, , where is the complex scalar field and is the kinetic term. We extend the Vakhitov-Kolokolov stability criterion to -field theories. We derive the condition for the perturbations to have a well-posed Cauchy problem. We find that and are necessary but not sufficient conditions. The perturbations define a strongly hyperbolic system if . For all modifications studied, we found that perturbations propagate at a speed different from light. Generically, the noncanonical scalar field can lower the charge and energy of the -ball and therefore improves its stability.
{ "_oai": { "updated": "2023-05-31T00:30:23Z", "id": "oai:repo.scoap3.org:77967", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "An\u00edbal Fa\u00fandez", "affiliations": [ { "country": "Chile", "value": "Instituto de F\u00edsica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Av. Brasil 2950, Valpara\u00edso, Chile" } ], "surname": "Fa\u00fandez", "given_names": "An\u00edbal", "full_name": "Fa\u00fandez, An\u00edbal" }, { "raw_name": "Radouane Gannouji", "affiliations": [ { "country": "Chile", "value": "Instituto de F\u00edsica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Av. Brasil 2950, Valpara\u00edso, Chile" } ], "surname": "Gannouji", "given_names": "Radouane", "full_name": "Gannouji, Radouane" } ], "titles": [ { "source": "APS", "title": "<math><mi>Q</mi></math>-balls in <math><mi>K</mi></math>-field theory" } ], "dois": [ { "value": "10.1103/PhysRevD.107.104058" } ], "publication_info": [ { "journal_volume": "107", "journal_title": "Physical Review D", "material": "article", "journal_issue": "10", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-05-31T00:30:15.933682", "source": "APS", "method": "APS", "submission_number": "46efd63cff4a11ed8e62c23b20d38f61" }, "page_nr": [ 11 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "77967", "record_creation_date": "2023-05-30T18:30:25.908593", "_files": [ { "checksum": "md5:3d6891af446ba6044e6f0994aa183e12", "filetype": "pdf", "bucket": "ee88027b-3b2d-40c3-b289-d13d8e8738a8", "version_id": "4c90b87a-b02e-434b-afcc-d9ab5dd1b57c", "key": "10.1103/PhysRevD.107.104058.pdf", "size": 1546578 }, { "checksum": "md5:fb07aba3220e5af592fc2da859c7ea70", "filetype": "xml", "bucket": "ee88027b-3b2d-40c3-b289-d13d8e8738a8", "version_id": "a4bc31a4-949b-4570-b04b-074bf61d33cd", "key": "10.1103/PhysRevD.107.104058.xml", "size": 212863 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "gr-qc", "hep-ph" ], "value": "2301.05890" } ], "abstracts": [ { "source": "APS", "value": "We study the existence and stability of <math><mi>Q</mi></math>-balls in noncanonical scalar field theories, <math><mrow><mi>K</mi><mo>(</mo><mo>|</mo><mi>\u03a6</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>2</mn></mrow></msup><mo>,</mo><mi>X</mi><mo>)</mo></mrow></math>, where <math><mi>\u03a6</mi></math> is the complex scalar field and <math><mi>X</mi></math> is the kinetic term. We extend the Vakhitov-Kolokolov stability criterion to <math><mi>K</mi></math>-field theories. We derive the condition for the perturbations to have a well-posed Cauchy problem. We find that <math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mo>,</mo><mi>X</mi></mrow></msub><mo>></mo><mn>0</mn></mrow></math> and <math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mo>,</mo><mi>X</mi></mrow></msub><mo>+</mo><mi>X</mi><msub><mrow><mi>K</mi></mrow><mrow><mo>,</mo><mi>X</mi><mi>X</mi></mrow></msub><mo>></mo><mn>0</mn></mrow></math> are necessary but not sufficient conditions. The perturbations define a strongly hyperbolic system if <math><mrow><mo>(</mo><msub><mrow><mi>K</mi></mrow><mrow><mo>,</mo><mi>X</mi></mrow></msub><mo>\u2212</mo><mn>2</mn><msup><mrow><mi>\u03d5</mi></mrow><mrow><mo>\u2032</mo><mn>2</mn></mrow></msup><msub><mrow><mi>K</mi></mrow><mrow><mo>,</mo><mi>X</mi><mi>X</mi></mrow></msub><mo>)</mo><mo>(</mo><msub><mrow><mi>K</mi></mrow><mrow><mo>,</mo><mi>X</mi></mrow></msub><mo>+</mo><mn>2</mn><msup><mrow><mi>\u03c9</mi></mrow><mrow><mn>2</mn></mrow></msup><msup><mrow><mi>\u03d5</mi></mrow><mrow><mn>2</mn></mrow></msup><msub><mrow><mi>K</mi></mrow><mrow><mo>,</mo><mi>X</mi><mi>X</mi></mrow></msub><mo>)</mo><mo>></mo><mn>0</mn></mrow></math>. For all modifications studied, we found that perturbations propagate at a speed different from light. Generically, the noncanonical scalar field can lower the charge and energy of the <math><mi>Q</mi></math>-ball and therefore improves its stability." } ], "imprints": [ { "date": "2023-05-30", "publisher": "APS" } ] }