Convergence Properties of the Equal-Time Connected Green Function Approach for Temporal Gauge SU(2)2+1Yang–Mills Theory
✍ Scribed by J.M. Häuser; W. Cassing; S. Leupold; M.H. Thoma
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 690 KB
- Volume
- 265
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
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.