Gauge fixing for non-Albelian gauge theories: A search for nonperturbative methods

Thesis/Dissertation · Fri Dec 31 04:00:00 EST 1993

OSTI ID:111042

Fachin, S P

Quantization techniques for pure non-Abelian gauge fields which avoid the problem of Gribov copies are investigated both in the continuum and on the lattice. The main motivation for such research is that the solution of the Gribov ambiguity is essential in studying nonperturbative aspects of non-Abelian gauge theories, with particular interest in QCD. A soft gauge-fixing prescription which circumvents the problem of Gribov copies is studied, and its perturbative expansion is developed. Its relationship with the perturbative Landau gauge, in the limit in which the gauge-fixing parameter is taken to infinity, is clarified, the problem of perturbative renormalization of the model is addressed. The soft gauge-fixing prescription is applied to the lattice formulation of gauge theories a la Wilson, where a scheme for the strong coupling expansion of gauge-dependent quantities is developed, and a stochastic algorithm for numerical simulation is proposed. The soft gauge-fixing technique is also applied to define a generalized form of the Coulomb gauge, which is shown to preserve reflection positivity. In both models, one could detect possible gauge-independent features of the gauge-dependent quantity under scrutiny by looking at its functional dependence on the gauge-fixing parameter.

• Research Organization: New York Univ., NY (United States)
• OSTI ID: 111042
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGORITHMS
CALCULATION METHODS
FIELD THEORIES
GAUGE INVARIANCE
QUANTUM CHROMODYNAMICS