Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-10-18
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, LateX, no figures. An important reference to Frolov and Slavnov has been added and a confusing typo corrected
Scientific paper
We discuss the problem of formulating the continuum limit of chiral gauge theories ($\chi$GT) in the absence of an explicitly gauge-invariant regulator for the fermions. A solution is proposed which is independent of the details of the regulator, wherein one considers two cutoff scales, $\Lambda_f >> \Lambda_b$, for the fermions and the gauge bosons respectively. Our recent non-perturbative lattice construction in which the fermions live on a finer lattice than do the gauge bosons, is seen to be an example of such a scheme, providing a finite algorithm for simulating $\chi$GT. The essential difference with previous (one-cutoff) lattice schemes is clarified: in our formulation the breakage of gauge invariance is small, $O(\Lambda^2_b/\Lambda^2_f)$, and vanishes in the continuum limit. Finally, we argue against 2-D models being significant testing grounds for 4-D regulators of $\chi$GT.
Hernandez Pilar
Sundrum Raman
No associations
LandOfFree
Lattice Chiral Gauge Theory with Finely-Grained Fermions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lattice Chiral Gauge Theory with Finely-Grained Fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice Chiral Gauge Theory with Finely-Grained Fermions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-633054