{"title":"具有大质量夸克的双味色超导物质中QCD轴子的性质","authors":"Zhao Zhang, Wenhao Zhao","doi":"10.1103/physrevd.111.094043","DOIUrl":null,"url":null,"abstract":"We investigate the properties of QCD axion at low temperature and moderate density in the Nambu-Jona-Lasinio model with instanton induced interactions by simultaneously considering the scalar and pseudoscalar condensates in both quark-antiquark and diquark channels. We derive the analytical dispersion relations of quarks with four-type condensates at nonzero theta angle θ</a:mi>=</a:mo>a</a:mi>/</a:mo>f</a:mi></a:mrow>a</a:mi></a:mrow></a:msub></a:mrow></a:math>. The axion mass, quartic self-coupling, and the axion potential are calculated in both the chiral symmetry breaking and two-flavor color superconducting phases. Using the commonly adopted model parameters, we find that, due to the emergence of color superconductivity, the chiral phase transition not only does not lead to a significant decrease in axion mass and self-coupling but rather results in an obvious enhancement of them. As a <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>θ</c:mi></c:math> function, the axion potential exhibits an approximate period of <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>π</e:mi></e:math>, which is quite different from the case without considering the color superconductivity. The surface tension of axion domain wall is also calculated in the presence of color superconductivity. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"6 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Properties of the QCD axion in two-flavor color superconductive matter with massive quarks\",\"authors\":\"Zhao Zhang, Wenhao Zhao\",\"doi\":\"10.1103/physrevd.111.094043\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the properties of QCD axion at low temperature and moderate density in the Nambu-Jona-Lasinio model with instanton induced interactions by simultaneously considering the scalar and pseudoscalar condensates in both quark-antiquark and diquark channels. We derive the analytical dispersion relations of quarks with four-type condensates at nonzero theta angle θ</a:mi>=</a:mo>a</a:mi>/</a:mo>f</a:mi></a:mrow>a</a:mi></a:mrow></a:msub></a:mrow></a:math>. The axion mass, quartic self-coupling, and the axion potential are calculated in both the chiral symmetry breaking and two-flavor color superconducting phases. Using the commonly adopted model parameters, we find that, due to the emergence of color superconductivity, the chiral phase transition not only does not lead to a significant decrease in axion mass and self-coupling but rather results in an obvious enhancement of them. As a <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mi>θ</c:mi></c:math> function, the axion potential exhibits an approximate period of <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:mi>π</e:mi></e:math>, which is quite different from the case without considering the color superconductivity. The surface tension of axion domain wall is also calculated in the presence of color superconductivity. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2025-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevd.111.094043\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.094043","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Properties of the QCD axion in two-flavor color superconductive matter with massive quarks
We investigate the properties of QCD axion at low temperature and moderate density in the Nambu-Jona-Lasinio model with instanton induced interactions by simultaneously considering the scalar and pseudoscalar condensates in both quark-antiquark and diquark channels. We derive the analytical dispersion relations of quarks with four-type condensates at nonzero theta angle θ=a/fa. The axion mass, quartic self-coupling, and the axion potential are calculated in both the chiral symmetry breaking and two-flavor color superconducting phases. Using the commonly adopted model parameters, we find that, due to the emergence of color superconductivity, the chiral phase transition not only does not lead to a significant decrease in axion mass and self-coupling but rather results in an obvious enhancement of them. As a θ function, the axion potential exhibits an approximate period of π, which is quite different from the case without considering the color superconductivity. The surface tension of axion domain wall is also calculated in the presence of color superconductivity. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.