Gauge invariant effective Lagrangian for Kaluza-Klein modes - art. no. 105005

Citation
Ct. Hill et al., Gauge invariant effective Lagrangian for Kaluza-Klein modes - art. no. 105005, PHYS REV D, 6410(10), 2001, pp. 5005
Citations number
30
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
0556-2821 → ACNP
Volume
6410
Issue
10
Year of publication
2001
Database
ISI
SICI code
0556-2821(20011115)6410:10<5005:GIELFK>2.0.ZU;2-7
Abstract
We construct a manifestly gauge invariant Lagrangian in 3 + 1 dimensions fo r N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, i f the bulk is 4 + 1, the effective theory is Pi M+1i=1SU(m)(i) with N chira l ((m) over bar ,m) fields connecting the groups sequentially. This can be viewed as a Wilson action for a transverse lattice in x(5), and is shown ex plicitly to match the continuum 4 + 1 compactified 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.