Analytic calculation of color-Coulomb potential

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    We develop a calculation scheme in Coulomb and temporal gauge that respects gauge invariance and is most easily applied to the infrared asymptotic region of QCD. It resembles the Dyson-Schwinger equations of Euclidean quantum field theory in Landau gauge, but is three dimensional. A simple calculation yields a color-Coulomb potential that behaves at large R approximately like V coul(R) ∼ R[1-0.2(d-1)] for spatial dimension 1 ≤ d ≤ 3. This is a linearly rising potential plus a rather weak dependence on d.

    Original languageEnglish (US)
    Article number094034
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume70
    Issue number9
    DOIs
    StatePublished - Nov 2004

    Fingerprint

    Coulomb Potential
    Coulomb potential
    Gauge
    color
    Weak Dependence
    Gauge Invariance
    gauge invariance
    Quantum Field Theory
    Euclidean
    Infrared
    quantum chromodynamics
    Linearly
    Three-dimensional
    Color

    ASJC Scopus subject areas

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

    Cite this

    Analytic calculation of color-Coulomb potential. / Zwanziger, Daniel.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 70, No. 9, 094034, 11.2004.

    Research output: Contribution to journalArticle

    @article{a8b16ed26b6c4a78bf5d9c1bc374cef5,
    title = "Analytic calculation of color-Coulomb potential",
    abstract = "We develop a calculation scheme in Coulomb and temporal gauge that respects gauge invariance and is most easily applied to the infrared asymptotic region of QCD. It resembles the Dyson-Schwinger equations of Euclidean quantum field theory in Landau gauge, but is three dimensional. A simple calculation yields a color-Coulomb potential that behaves at large R approximately like V coul(R) ∼ R[1-0.2(d-1)] for spatial dimension 1 ≤ d ≤ 3. This is a linearly rising potential plus a rather weak dependence on d.",
    author = "Daniel Zwanziger",
    year = "2004",
    month = "11",
    doi = "10.1103/PhysRevD.70.094034",
    language = "English (US)",
    volume = "70",
    journal = "Physical review D: Particles and fields",
    issn = "1550-7998",
    publisher = "American Physical Society",
    number = "9",

    }

    TY - JOUR

    T1 - Analytic calculation of color-Coulomb potential

    AU - Zwanziger, Daniel

    PY - 2004/11

    Y1 - 2004/11

    N2 - We develop a calculation scheme in Coulomb and temporal gauge that respects gauge invariance and is most easily applied to the infrared asymptotic region of QCD. It resembles the Dyson-Schwinger equations of Euclidean quantum field theory in Landau gauge, but is three dimensional. A simple calculation yields a color-Coulomb potential that behaves at large R approximately like V coul(R) ∼ R[1-0.2(d-1)] for spatial dimension 1 ≤ d ≤ 3. This is a linearly rising potential plus a rather weak dependence on d.

    AB - We develop a calculation scheme in Coulomb and temporal gauge that respects gauge invariance and is most easily applied to the infrared asymptotic region of QCD. It resembles the Dyson-Schwinger equations of Euclidean quantum field theory in Landau gauge, but is three dimensional. A simple calculation yields a color-Coulomb potential that behaves at large R approximately like V coul(R) ∼ R[1-0.2(d-1)] for spatial dimension 1 ≤ d ≤ 3. This is a linearly rising potential plus a rather weak dependence on d.

    UR - http://www.scopus.com/inward/record.url?scp=42749104398&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=42749104398&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.70.094034

    DO - 10.1103/PhysRevD.70.094034

    M3 - Article

    VL - 70

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 1550-7998

    IS - 9

    M1 - 094034

    ER -