Non-perturbative BRST invariance and what it might be good for

✍ Scribed by Yigal Shamir; Maarten Golterman

• Book ID: 104354426
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 310 KB
• Volume: 119
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)01734-1

✦ Synopsis

We construct a local, gauge-fixed, lattice Yang-Mills theory with an exact BRST invariance, and with the same perturbative expansion as the standard Yang-Mills theory. The ghost sector, and some of its BRST transformation rules, are modified to get around Neuberger's theorem. A special term is introduced in the action to regularize the Gribov horizons, and the limit where the regulator is removed is discussed. We conclude with a few comments on what might be the physical significance of this theory. We speculate that there may exist new strong-interaction phases apart from the anticipated confinement phase. (For additional technical details see ref. [I].