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Thermal field theory with nonuniform chemical potential

Result description

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 ?. The mass matrix at a vacuum does not commute with ?. We find that the effective potential is divided into three parts. The first part is the Coleman-Weinbergpotential. 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 ?. 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.

Keywords

thermal field theorychemical potentialeffective potentialsspontaneous symmetry breakingmulti-flavor model

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Thermal field theory with nonuniform chemical potential

  • Original language description

    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 ?. The mass matrix at a vacuum does not commute with ?. We find that the effective potential is divided into three parts. The first part is the Coleman-Weinbergpotential. 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 ?. 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.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physical Review D

  • ISSN

    1550-7998

  • e-ISSN

  • Volume of the periodical

    88

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    14

  • Pages from-to

  • UT code for WoS article

    000328604100010

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BE - Theoretical physics

Year of implementation

2013