Equation of state of gluon plasma from local action

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    We review recent analytic and numerical results concerning the confinement scenario in Coulomb gauge. We then consider a local, renormalizable, BRST(Becchi-Rouet-Stora-Tyutin)-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields and sources. When the auxiliary fields are integrated out, one obtains the standard Coulomb gauge action with a cutoff at the Gribov horizon. We use the local formulation to calculate the leading correction to the Stefan-Boltzmann equation of state at high temperature due to the cutoff at the Gribov horizon. It is of order g6, which is precisely the order at which the infrared divergence found by Lindé divergence first occurs. No such divergence arises in the present calculation because the propagator of would-be physical gluons is suppressed in the infrared due to the proximity of the Gribov horizon in infrared directions.

    Original languageEnglish (US)
    Article number125014
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume76
    Issue number12
    DOIs
    StatePublished - Dec 17 2007

    Fingerprint

    Equation of State
    horizon
    Horizon
    Divergence
    divergence
    Gauge
    Infrared
    equations of state
    Plasma
    cut-off
    gluons
    ghosts
    Propagator
    Boltzmann Equation
    Proximity
    proximity
    quantum chromodynamics
    formulations
    Calculate
    Numerical Results

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Mathematical Physics

    Cite this

    Equation of state of gluon plasma from local action. / Zwanziger, Daniel.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 76, No. 12, 125014, 17.12.2007.

    Research output: Contribution to journalArticle

    @article{bb32203e73e34bc18b159d06c8339b35,
    title = "Equation of state of gluon plasma from local action",
    abstract = "We review recent analytic and numerical results concerning the confinement scenario in Coulomb gauge. We then consider a local, renormalizable, BRST(Becchi-Rouet-Stora-Tyutin)-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields and sources. When the auxiliary fields are integrated out, one obtains the standard Coulomb gauge action with a cutoff at the Gribov horizon. We use the local formulation to calculate the leading correction to the Stefan-Boltzmann equation of state at high temperature due to the cutoff at the Gribov horizon. It is of order g6, which is precisely the order at which the infrared divergence found by Lind{\'e} divergence first occurs. No such divergence arises in the present calculation because the propagator of would-be physical gluons is suppressed in the infrared due to the proximity of the Gribov horizon in infrared directions.",
    author = "Daniel Zwanziger",
    year = "2007",
    month = "12",
    day = "17",
    doi = "10.1103/PhysRevD.76.125014",
    language = "English (US)",
    volume = "76",
    journal = "Physical review D: Particles and fields",
    issn = "1550-7998",
    publisher = "American Institute of Physics",
    number = "12",

    }

    TY - JOUR

    T1 - Equation of state of gluon plasma from local action

    AU - Zwanziger, Daniel

    PY - 2007/12/17

    Y1 - 2007/12/17

    N2 - We review recent analytic and numerical results concerning the confinement scenario in Coulomb gauge. We then consider a local, renormalizable, BRST(Becchi-Rouet-Stora-Tyutin)-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields and sources. When the auxiliary fields are integrated out, one obtains the standard Coulomb gauge action with a cutoff at the Gribov horizon. We use the local formulation to calculate the leading correction to the Stefan-Boltzmann equation of state at high temperature due to the cutoff at the Gribov horizon. It is of order g6, which is precisely the order at which the infrared divergence found by Lindé divergence first occurs. No such divergence arises in the present calculation because the propagator of would-be physical gluons is suppressed in the infrared due to the proximity of the Gribov horizon in infrared directions.

    AB - We review recent analytic and numerical results concerning the confinement scenario in Coulomb gauge. We then consider a local, renormalizable, BRST(Becchi-Rouet-Stora-Tyutin)-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields and sources. When the auxiliary fields are integrated out, one obtains the standard Coulomb gauge action with a cutoff at the Gribov horizon. We use the local formulation to calculate the leading correction to the Stefan-Boltzmann equation of state at high temperature due to the cutoff at the Gribov horizon. It is of order g6, which is precisely the order at which the infrared divergence found by Lindé divergence first occurs. No such divergence arises in the present calculation because the propagator of would-be physical gluons is suppressed in the infrared due to the proximity of the Gribov horizon in infrared directions.

    UR - http://www.scopus.com/inward/record.url?scp=37349090401&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=37349090401&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.76.125014

    DO - 10.1103/PhysRevD.76.125014

    M3 - Article

    AN - SCOPUS:37349090401

    VL - 76

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 1550-7998

    IS - 12

    M1 - 125014

    ER -