Solution ofN= 2 Gauge Theory

SUq(2) lattice gauge theory.

Gauge Fixing of SU ( 2 ) Lattice Gauge Theory

I construct a Lattice Gauge Theory (LGT) with discrete Z2 structure group and an equivariant BRST symmetry that for gauge invariant observables is equivalent to the standard SU(2)-LGT. The measure of this Z2-LGT is invariant under all the discrete symmetries of the lattice. The SU(2) structure group of the original LGT is first reduced to an U(1) structure group by an equivariant BRST construct...

Equivariant Gauge Fixing of SU ( 2 ) Lattice Gauge Theory

I construct a Lattice Gauge Theory (LGT) with discrete Z2 structure group and an equivariant BRST symmetry that for gauge invariant observables is equivalent to the standard SU(2)-LGT. The measure of this Z2-LGT is invariant under all the discrete symmetries of the lattice. The SU(2) structure group of the original LGT is first reduced to an U(1) structure group by an equivariant BRST construct...

Singular Gauge Transformation in Non-Commutative U (2) Gauge Theory

Amethod developed by Polychronakos to study singular gauge transformations in 1+2 dimensional non-commutative Chern-Simons gauge theory is generalized from U(1) group to U(2) group. The method clarifies the singular behavior of topologically non-trivial gauge transformations in non-commutative gauge theory, which appears when the gauge transformations are viewed from the commutative gauge theor...

Nonperturbative Solution of Yukawa Theory and Gauge Theories∗

Recent progress in the nonperturbative solution of (3+1)-dimensional Yukawa theory and quantum electrodynamics (QED) and (1+1)-dimensional super Yang–Mills (SYM) theory will be summarized. The work on Yukawa theory has been extended to include two-boson contributions to the dressed fermion state and has inspired similar work on QED, where Feynman gauge has been found surprisingly convenient. In...