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Gauge invariant effective Lagrangian for Kaluza-Klein modes
Open accessAbstract
We construct a manifestly gauge invariant Lagrangian in $3+1$ dimensions for N Kaluza-Klein modes of an $\mathrm{SU}(m)$ gauge theory in the bulk. For example, if the bulk is $4+1,$ the effective theory is ${\ensuremath{\Pi}}_{i=1}^{N+1}{\mathrm{SU}(m)}_{i}$ with N chiral $(\overline{m},m)$ 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 $4+1$ 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.
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Cites
The hierarchy problem and new dimensions at a millimeter
Arkani–Hamed, N., Dimopoulos, S., & Dvali, G. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00466-3 · Cited by 6,563
Is the superstring weakly coupled?
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Beyond the cosmological standard model
Joyce, A., Jain, B., Khoury, J., & Trodden, M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.002 · Cited by 1,231
Strong dynamics and electroweak symmetry breaking
Hill, C. T., & Simmons, E. H. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00140-6 · Cited by 892
Self-citationThe Composite Nambu-Goldstone Higgs
Panico, G., & Wulzer, A. (2016) · Lecture Notes in Physics · doi:10.1007/978-3-319-22617-0 · Cited by 373
Dark matter and collider phenomenology of universal extra dimensions
Hooper, D., & Profumo, S. (2007) · Physics Reports · doi:10.1016/j.physrep.2007.09.003 · Cited by 358
Bellazzini, B., Csáki, C., & Serra, J. (2014) · The European Physical Journal C · doi:10.1140/epjc/s10052-014-2766-x · Cited by 322
Metadata
- Authors
- Hill, C. T., Pokorski, S., & Wang, J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-10-11
- Volume
- 64
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2140164202
- Cited by
- 397
- References
- 2
- FWCI
- 29.23
- Type
- journal article
- Language
- en
- Open access
- green
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