Gauge invariant effective Lagrangian for Kaluza-Klein modes
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 ΠN+1i=1SU(m)i with N chiral (m¯,m) fields connecting the groups sequentially. This can be viewed as a Wilson action for a transverse lattice in x5, and is shown explicitly 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.
- Publication:
-
Physical Review D
- Pub Date:
- November 2001
- DOI:
- arXiv:
- arXiv:hep-th/0104035
- Bibcode:
- 2001PhRvD..64j5005H
- Keywords:
-
- 11.10.Kk;
- 11.15.Ex;
- 11.15.Ha;
- 12.60.Cn;
- Field theories in dimensions other than four;
- Spontaneous breaking of gauge symmetries;
- Lattice gauge theory;
- Extensions of electroweak gauge sector;
- High Energy Physics - Theory;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology
- E-Print:
- 21 pages, 4 figures