### Abstract

We review the Coulomb gauge in QCD and report some recent results. The minimal Coulomb gauge is defined and the fundamental modular region, a region without Gribov copies, is described. The Coulomb gauge action is expressed in terms of the dynamical degrees of freedom with an instantaneous Coulomb interaction, and its physical meaning is discussed. The local Coulomb gauge action with phase-space and ghost variables is derived, and its BRS-invariance and renormalizability are reviewed. It is shown that the instantaneous part V(R) of g^{2}D_{00}(R,t), the time-time component of the gluon propagator, is a renormalization-group invariant V(R) = f (RΛ_{QCD})/R, and that the contribution of V(R) to the Wilson loop exponentiates. It is conjectured that V(R) ≃ κ_{coul} R at large R, and that κ_{coul} provides an order parameter for confinement of color even in the presence of dynamical quarks.

Original language | English (US) |
---|---|

Pages (from-to) | 233-242 |

Number of pages | 10 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 131 |

State | Published - 1998 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics Supplement*, (131), 233-242.

**Coulomb-Gauge in QCD : Renormalization and Confinement.** / Zwanziger, Daniel.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics Supplement*, no. 131, pp. 233-242.

}

TY - JOUR

T1 - Coulomb-Gauge in QCD

T2 - Renormalization and Confinement

AU - Zwanziger, Daniel

PY - 1998

Y1 - 1998

N2 - We review the Coulomb gauge in QCD and report some recent results. The minimal Coulomb gauge is defined and the fundamental modular region, a region without Gribov copies, is described. The Coulomb gauge action is expressed in terms of the dynamical degrees of freedom with an instantaneous Coulomb interaction, and its physical meaning is discussed. The local Coulomb gauge action with phase-space and ghost variables is derived, and its BRS-invariance and renormalizability are reviewed. It is shown that the instantaneous part V(R) of g2D00(R,t), the time-time component of the gluon propagator, is a renormalization-group invariant V(R) = f (RΛQCD)/R, and that the contribution of V(R) to the Wilson loop exponentiates. It is conjectured that V(R) ≃ κcoul R at large R, and that κcoul provides an order parameter for confinement of color even in the presence of dynamical quarks.

AB - We review the Coulomb gauge in QCD and report some recent results. The minimal Coulomb gauge is defined and the fundamental modular region, a region without Gribov copies, is described. The Coulomb gauge action is expressed in terms of the dynamical degrees of freedom with an instantaneous Coulomb interaction, and its physical meaning is discussed. The local Coulomb gauge action with phase-space and ghost variables is derived, and its BRS-invariance and renormalizability are reviewed. It is shown that the instantaneous part V(R) of g2D00(R,t), the time-time component of the gluon propagator, is a renormalization-group invariant V(R) = f (RΛQCD)/R, and that the contribution of V(R) to the Wilson loop exponentiates. It is conjectured that V(R) ≃ κcoul R at large R, and that κcoul provides an order parameter for confinement of color even in the presence of dynamical quarks.

UR - http://www.scopus.com/inward/record.url?scp=0032282719&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032282719&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032282719

SP - 233

EP - 242

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

SN - 0375-9687

IS - 131

ER -