Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
High Energy Physics - Theory
2009-11-07 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We construct a manifestly gauge invariant Lagrangian in 3+1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, if the bulk is 4+1, the effective theory is \Pi_{i=1}^{N+1} SU(m)_i with N chiral (\bar{m},m) fields connecting the groups sequentially. This can be viewed as a Wilson action for a transverse lattice in x^5, and is shown explicitly to match the continuum 4+1 compactifed Lagrangian truncated in momentum space. Scale dependence of the gauge couplings is described by the standard renormalization group technique with threshold matching, leading to effective power law running. We also discuss the unitarity constraints, and chiral fermions.
Keywords
Cite
@article{arxiv.hep-th/0104035,
title = {Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes},
author = {Christopher T. Hill and Stefan Pokorski and Jing Wang},
journal= {arXiv preprint arXiv:hep-th/0104035},
year = {2009}
}
Comments
21 pages, 4 figures