Gauge invariant effective Lagrangian for Kaluza-Klein modes
By C. Hill, S. Pokorski, Jing Wang. 2001
341 citations recorded by the source corpus.
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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d6f5d7adbf1c0a4cde82edb93240b5eaf9b323ad
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In Nuclear and High Energy Physics
Citations in the corpus
- Mesons in gauge/gravity duals (2007, result): “It is worth remarking that very similar ideas to these models have inspired the field of Higgsless electroweak models [255, 256] and their deconstructed [257, 258] partners for example in [259].”
- Strong dynamics and electroweak symmetry breaking (2002, methodology): “The full lattice description of QCD is a straightforward generalization of this model [477].”
- The Composite Nambu-Goldstone Higgs (2015, methodology): “This approach is inspired by the holographic models and by the idea of dimensional deconstruction [160, 161], which consists in discretizing the extra space coordinate by replacing it with a one-dimensional lattice with a finite number of points or “sites”.”
- A comprehensive approach to new physics simulations (2009, background): “Deconstruction [151, 152] gives a consistent, gauge invariant way of implementing only a subset of the resonances in a low energy effective theory.”
- Deconstructing (2,0) and Little String Theories (2001, background): “Recently a new way of realizing higher dimensional theories was introduced [1] (for related work see [2]).”
- Supersymmetry on a euclidean spacetime lattice 1. A target theory with four supercharges (2003, background): “(2)For related work on nonsupersymmetric theories, see [31]–[33].”