Infrared saturation and phases of gauge theories with BRST symmetry

Valentin Mader, Martin Schaden, Daniel Zwanziger, Reinhard Alkofer

    Research output: Contribution to journalArticle

    Abstract

    We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo-Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov-Zwanziger theory.

    Original languageEnglish (US)
    Pages (from-to)1-20
    Number of pages20
    JournalEuropean Physical Journal C
    Volume74
    Issue number5
    DOIs
    StatePublished - 2014

    Fingerprint

    Gages
    gauge theory
    Infrared radiation
    saturation
    symmetry
    Bosons
    bosons
    confining
    equations of motion
    Equations of motion
    Momentum
    antisymmetry
    momentum
    degrees of freedom
    propagation

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)
    • Engineering (miscellaneous)

    Cite this

    Infrared saturation and phases of gauge theories with BRST symmetry. / Mader, Valentin; Schaden, Martin; Zwanziger, Daniel; Alkofer, Reinhard.

    In: European Physical Journal C, Vol. 74, No. 5, 2014, p. 1-20.

    Research output: Contribution to journalArticle

    Mader, Valentin ; Schaden, Martin ; Zwanziger, Daniel ; Alkofer, Reinhard. / Infrared saturation and phases of gauge theories with BRST symmetry. In: European Physical Journal C. 2014 ; Vol. 74, No. 5. pp. 1-20.
    @article{02a5306bef4441a184ea9fd46b488548,
    title = "Infrared saturation and phases of gauge theories with BRST symmetry",
    abstract = "We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo-Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov-Zwanziger theory.",
    author = "Valentin Mader and Martin Schaden and Daniel Zwanziger and Reinhard Alkofer",
    year = "2014",
    doi = "10.1140/epjc/s10052-014-2881-8",
    language = "English (US)",
    volume = "74",
    pages = "1--20",
    journal = "European Physical Journal C",
    issn = "1434-6044",
    publisher = "Springer New York",
    number = "5",

    }

    TY - JOUR

    T1 - Infrared saturation and phases of gauge theories with BRST symmetry

    AU - Mader, Valentin

    AU - Schaden, Martin

    AU - Zwanziger, Daniel

    AU - Alkofer, Reinhard

    PY - 2014

    Y1 - 2014

    N2 - We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo-Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov-Zwanziger theory.

    AB - We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo-Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov-Zwanziger theory.

    UR - http://www.scopus.com/inward/record.url?scp=84901562275&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84901562275&partnerID=8YFLogxK

    U2 - 10.1140/epjc/s10052-014-2881-8

    DO - 10.1140/epjc/s10052-014-2881-8

    M3 - Article

    VL - 74

    SP - 1

    EP - 20

    JO - European Physical Journal C

    JF - European Physical Journal C

    SN - 1434-6044

    IS - 5

    ER -