Loop Space Hamiltonians and Numerical Methods for Large $N$ Gauge Theories. 2.

We generalize our numerical loop-space methods to consider the full large- N Yang-Mills problem. First we study the weak-coupling phase in loop space and derive the equation obeyed by spacelike Wilson loops. We then consider the problem of topological reduction and derive the effective potential for topologically distinct loops. In connection with numerical computations we discuss the issues of truncation of the system. We present an initial numerical result for a simplest truncation of the full (2+1)-dimensional Yang-Mills theory.

GAUGE FIELD THEORY: YANG-MILLS
GAUGE FIELD THEORY: WILSON LOOP
EXPANSION: WEAK COUPLING
WEAK COUPLING: EXPANSION
LATTICE FIELD THEORY: THREE-DIMENSIONAL
EXPANSION 1/N
FIELD THEORETICAL MODEL: EGUCHI-KAWAI
APPROXIMATION: QUENCHING
APPROXIMATION: EFFECTIVE POTENTIAL
NUMERICAL CALCULATIONS: MONTE CARLO

References(12)

Figures(0)

Loop Space Hamiltonians and Numerical Methods for Large $N$ Gauge Theories

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Loop Space Hamiltonians and Numerical Methods for Large NNN Gauge Theories. 2.

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Loop Space Hamiltonians and Numerical Methods for Large $N$ Gauge Theories. 2.