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Title: Propagators in Coulomb gauge from SU(2) lattice gauge theory

Abstract

A thorough study of 4-dimensional SU(2) Yang-Mills theory in Coulomb gauge is performed using large scale lattice simulations. The (equal-time) transverse gluon propagator, the ghost form factor d(p) and the Coulomb potential V{sub coul}(p){proportional_to}d{sup 2}(p)f(p)/p{sup 2} are calculated. For large momenta p, the gluon propagator decreases like 1/p{sup 1+{eta}} with {eta}=0.5(1). At low momentum, the propagator is weakly momentum dependent. The small momentum behavior of the Coulomb potential is consistent with linear confinement. We find that the inequality {sigma}{sub coul}{>=}{sigma} is satisfied. Finally, we provide evidence that the ghost form factors d(p) and f(p) acquire IR singularities, i.e., d(p){proportional_to}1/{radical}(p) and f(p){proportional_to}1/p, respectively. It turns out that the combination g{sub 0}{sup 2}d{sub 0}(p) of the bare gauge coupling g{sub 0} and the bare ghost form factor d{sub 0}(p) is finite and therefore renormalization group invariant.

Authors:
;  [1]
  1. Insitut fuer Theoretische Physik, Universitaet Tuebingen, D-72076 Tuebingen (Germany)
Publication Date:
OSTI Identifier:
20705364
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.70.074507; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BAG MODEL; COMPUTERIZED SIMULATION; COULOMB FIELD; COUPLING; FORM FACTORS; GAUGE INVARIANCE; GLUONS; LATTICE FIELD THEORY; PROPAGATOR; QUANTUM CHROMODYNAMICS; SINGULARITY; SU-2 GROUPS; YANG-MILLS THEORY

Citation Formats

Langfeld, Kurt, and Moyaerts, Laurent. Propagators in Coulomb gauge from SU(2) lattice gauge theory. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.074507.
Langfeld, Kurt, & Moyaerts, Laurent. Propagators in Coulomb gauge from SU(2) lattice gauge theory. United States. https://doi.org/10.1103/PhysRevD.70.074507
Langfeld, Kurt, and Moyaerts, Laurent. 2004. "Propagators in Coulomb gauge from SU(2) lattice gauge theory". United States. https://doi.org/10.1103/PhysRevD.70.074507.
@article{osti_20705364,
title = {Propagators in Coulomb gauge from SU(2) lattice gauge theory},
author = {Langfeld, Kurt and Moyaerts, Laurent},
abstractNote = {A thorough study of 4-dimensional SU(2) Yang-Mills theory in Coulomb gauge is performed using large scale lattice simulations. The (equal-time) transverse gluon propagator, the ghost form factor d(p) and the Coulomb potential V{sub coul}(p){proportional_to}d{sup 2}(p)f(p)/p{sup 2} are calculated. For large momenta p, the gluon propagator decreases like 1/p{sup 1+{eta}} with {eta}=0.5(1). At low momentum, the propagator is weakly momentum dependent. The small momentum behavior of the Coulomb potential is consistent with linear confinement. We find that the inequality {sigma}{sub coul}{>=}{sigma} is satisfied. Finally, we provide evidence that the ghost form factors d(p) and f(p) acquire IR singularities, i.e., d(p){proportional_to}1/{radical}(p) and f(p){proportional_to}1/p, respectively. It turns out that the combination g{sub 0}{sup 2}d{sub 0}(p) of the bare gauge coupling g{sub 0} and the bare ghost form factor d{sub 0}(p) is finite and therefore renormalization group invariant.},
doi = {10.1103/PhysRevD.70.074507},
url = {https://www.osti.gov/biblio/20705364}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 70,
place = {United States},
year = {Fri Oct 01 00:00:00 EDT 2004},
month = {Fri Oct 01 00:00:00 EDT 2004}
}