Handling gauss' law in the A0=0 gauge

Yamagishi, Hidenaga

doi:10.1016/0370-2693(87)91289-5

Cited by 20 publications

(1 citation statement)

References 48 publications

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“…A derivation of this result within the framework of canonical quantization can be found, e.g., in [36,37]. We note in passing that (14) at an intermediate time t 0 {\ might still not be a sufficient gauge fixing condition due to Gribov ambiguities.…”

Section: Quantization In Temporal Gaugementioning

confidence: 86%

Convergence Properties of the Equal-Time Connected Green Function Approach for Temporal Gauge SU(2)2+1Yang–Mills Theory

et al. 1998

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The hierarchy of equations of motion for equal-time Green functions in temporal gauge SU(N) Yang Mills theory is truncated using an expansion in terms of connected Green functions. A second hierarchy of constraint equations arises from Gauss law and can be truncated in a similar way. Within this approximation scheme we investigate SU(2) Yang Mills theory on a torus in 2+1 spacetime dimensions in a finite basis of plane wave states and focus on infrared and ultraviolet properties of the approach. In all truncation schemes considered up to the 4-point level the connected Green function approach is found to be UV divergent and to violate gauge invariance. The problems associated with adiabatically generating a nonperturbative ground state are discussed as well.1998 Academic Press 155 0003-4916Â98 25.00

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Section: Quantization In Temporal Gaugementioning

confidence: 86%