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Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes

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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.

years

2025 2

verdicts

UNVERDICTED 2

representative citing papers

Gauge-independent Gravitational Waves from Cogenesis in a $B-L$ Conserving Universe

hep-ph · 2025-10-15 · unverdicted · novelty 4.0

In a B-L conserving SM extension with U(1)_x dark sector, CP-violating Yukawas generate opposite lepton asymmetries in visible and hidden sectors that sphalerons convert to baryon asymmetry, with gauge-independent bubble nucleation yielding stochastic GW spectra valid in supercooled regimes and a参数s

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