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Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
High Energy Physics - Theory · Submitted 4 Apr 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 1.00 | 0.96 | 0.44 | asserted 1.00 |
| s1 | 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. | result 0.77 | 0.64 | 0.14 | asserted 0.89 |
| s2 | 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. | interpretation 0.67 | 0.89 | 0.14 | asserted 1.00 |
| s3 | Scale dependence of the gauge couplings is described by the standard renormalization group technique with threshold matching, leading to effective power law running. | result 0.58 | 0.66 | 0.14 | asserted 1.00 |
| s4 | We also discuss the unitarity constraints, and chiral fermions. | contribution 0.99 | 0.64 | 0.05 | unclear 0.52 |
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Original 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.
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References
How the literature uses it
58 arXiv papers cite this in 66 sentences
Papers citing it · 41 sentences without a confident label
Uses its method or tool 3 papers
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Since the theory we are interested in is either a four dimensional theory with some SGSB sector or with compactified extra dimensions, we will use the language of deconstruction [ref] as a unified description in different simple models to illustrate how the new physics at high energy maintains unitarity.
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This abelian $A_5$ model can be deconstructed following [ref] .
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In other words, we will apply the idea of dimensional deconstruction [ref] .
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Note that the program reported here is quite distinct from the attempt to construct “Higgsless” models of the real world [ref] , by introducing alternative mechanisms for electroweak symmetry breaking.
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Cites it as support 1 paper
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For instance, in latticised (or deconstructed) versions of 5D theories [ref] , which are often considered UV complete, the same results were found.
Discovering Minimal Universal Extra Dimensions (MUED) at the LHC · Comments on the bulk corrections · 0.97
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[ref] , based on early ideas of dimensional deconstruction [ref] and hidden local symmetry [ref] .
Holography, chiral Lagrangian and form factor relations · Introduction · 0.87
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Several interesting mechanisms have been proposed to address these challenges, including dimensional transmutation [ref] in four-dimensional QFT, wave-function localisation and/or warping in extra dimensions [ref] , and four-dimensional theories featuring lattice-like structures in theory space [ref] .
Hierarchies from deterministic non-locality in theory space Anderson localisation · Introduction · 0.95
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Deconstruction actually has its origins in non-gravitational gauge theories [ref] , but the basic procedure applies equally well to gravity too [ref] ; it is related to the more standard KK procedure, whereby one integrates out the extra dimensions instead of discretising them, by a discrete Fourier transform [ref] .
A new look at multi-gravity and dimensional deconstruction · Introduction · 0.94
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