Propagators in Coulomb gauge from SU(2) lattice gauge theory
- Insitut fuer Theoretische Physik, Universitaet Tuebingen, D-72076 Tuebingen (Germany)
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.
- OSTI ID:
- 20705364
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 7; Other Information: DOI: 10.1103/PhysRevD.70.074507; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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