Thermal field theory with nonuniform chemical potential
- NázevTitle
- Thermal field theory with nonuniform chemical potentialThermal field theory with nonuniform chemical potential
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- M. Arai, Y. Kobayashi, S. Sasaki
- Klíčová slovaKeywords
- thermal field theory, chemical potential, effective potentials, spontaneous symmetry breaking, multi-flavor model
- DOIDOI
- 10.1103/PhysRevD.88.125009
- Časopis / citaceJournal / citation
- Physical Review D 88(12), 125009 (2013) · ISSN 1550-7998
- RokYear
- 2013
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- Mezinárodní experiment ATLAS-CERNInternational experiment ATLAS-CERN; Fundamentální experimenty ve fyzice mikrosvětaFundamental Experiments in Physics of Microworld; Supersymetrie v teoriích pole a strun a ve fyzice za Standardním modelemSupersymmetry in field and string theories and in physics beyond the Standard Model
- CitovánoCited by
- 1 (INSPIRE-HEP)
- Plný text (open access)Full text (open access)
- https://arxiv.org/pdf/1307.8323
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
We investigate thermal one-loop effective potentials in multiflavor models with chemical potentials. We study four-dimensional models in which each flavor has different global U(1) charges. Accordingly they have different chemical potentials. We call these “nonuniform chemical potentials,” which are organized into a diagonal matrix μ̂. The mass matrix at a vacuum does not commute with μ̂. We find that the effective potential is divided into three parts. The first part is the Coleman-Weinberg potential. The UV divergence resides only in this part. The second is the correction to the Coleman-Weinberg potential that is independent of temperature, and the third depends on both temperature and μ̂. Our result is a generalization of the thermal potentials in previous studies for models with single and multiflavors with (uniform) chemical potentials, and it reproduces all the known results correctly.
We investigate thermal one-loop effective potentials in multiflavor models with chemical potentials. We study four-dimensional models in which each flavor has different global U(1) charges. Accordingly they have different chemical potentials. We call these “nonuniform chemical potentials,” which are organized into a diagonal matrix μ̂. The mass matrix at a vacuum does not commute with μ̂. We find that the effective potential is divided into three parts. The first part is the Coleman-Weinberg potential. The UV divergence resides only in this part. The second is the correction to the Coleman-Weinberg potential that is independent of temperature, and the third depends on both temperature and μ̂. Our result is a generalization of the thermal potentials in previous studies for models with single and multiflavors with (uniform) chemical potentials, and it reproduces all the known results correctly.