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Brane Couplings from Bulk Loops
High Energy Physics - Phenomenology · Submitted 29 Dec 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus bulk couplings give rise to renormalization group running of brane couplings.
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The abstract, sentence by sentence
We compute loop corrections to the effective action of a field theory on a five-dimensional $S_1/Z_2$ orbifold. We find that the quantum loop effects of interactions in the bulk produce infinite contributions that require renormalization by four-dimensional couplings on the orbifold fixed planes. Thus bulk couplings give rise to renormalization group running of brane couplings.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute loop corrections to the effective action of a field theory on a five-dimensional $S_1/Z_2$ orbifold. | contribution 0.98 | 0.95 | 0.04 | asserted 0.98 |
| s1 | We find that the quantum loop effects of interactions in the bulk produce infinite contributions that require renormalization by four-dimensional couplings on the orbifold fixed planes. | result 1.00 | 0.95 | 0.37 | asserted 1.00 |
| s2 | Thus bulk couplings give rise to renormalization group running of brane couplings. | interpretation 0.98 | 0.82 | 0.78 | asserted 1.00 |
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The paper
Original abstract
We compute loop corrections to the effective action of a field theory on a five-dimensional $S_1/Z_2$ orbifold. We find that the quantum loop effects of interactions in the bulk produce infinite contributions that require renormalization by four-dimensional couplings on the orbifold fixed planes. Thus bulk couplings give rise to renormalization group running of brane couplings.
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References
How later papers used it
63 later papers cite it
1 later paper by other authors is listed below: 1 used its method or tool.
Uses its method or tool 1 of 4 papers with this label
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In order to calculate the quantum corrections to the mass of $φ$, we first derive the propagator of the scalar field, which is denoted as $K^-1(p)$ in a four dimensional point of view [ref] .
Wilson-line Scalar Mass in Flux Compactification on an Orbifold $T^2/Z_2$ (2023) · One-loop correction to WL scalar mass · 0.91
How the literature uses it
62 arXiv papers cite this in 86 sentences
Papers citing it · 72 sentences without a confident label
Uses its method or tool 4 papers
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In order to calculate the quantum corrections to the mass of $φ$, we first derive the propagator of the scalar field, which is denoted as $K^-1(p)$ in a four dimensional point of view [ref] .
Wilson-line Scalar Mass in Flux Compactification on an Orbifold $T^2/Z_2$ · One-loop correction to WL scalar mass · 0.91
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Like the authors of Ref. [ref] , they used Poisson resummation techniques to calculate bulk effects and the methods of Ref. [ref] to calculate brane terms.
Kaluza-Klein Masses and Couplings: Radiative Corrections to Tree-Level Relations · Conclusions and relation to prior work · 0.97
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The propagator on the real projective plane is given by [ref]
A Dark Matter candidate from Lorentz Invariance in 6 Dimensions · 6D winding modes method · 0.81
Compares with it 1 paper
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The divergence in the brane terms for one-loop wave function occurs in the equal size at $y=0$ and at $y=L$, in agreement with Ref. [ref] .
Low energy kinetic distribution on orbifolds · Method of loop calculations · 0.91
Cites it as support 1 paper
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Again, the brane-localized term, involving fields with Dirichlet boundary conditions in the free case, is vanishing and is not radiatively generated (Ref. [ref] ).
Compactified Spacelike Extra Dimension & Brane-Higgs Field · Treatment with bilinear boundary terms · 0.99
Cites it as background 6 papers
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In the minimal Universal Extra-Dimensional Models (mUED) [ref] these terms are so chosen that 5-dimensional loop contributions at the cutoff scale $Λ$ are exactly compensated and the corrections, e.g., logarithmic contributions to masses of KK particles, can be taken to be zero at $Λ$.
Universal Extra-Dimensional models with boundary terms: Probing at the LHC · Introduction · 0.81
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Flavor violation can only arise due to the mismatch between the basis in which the Yukawa couplings and the boundary-localized kinetic terms (BLKTs) [ref] on the Higgs brane are diagonal, and the basis in which the interaction of equation [ref] on the FDM brane is diagonal.
Suppressed flavor violation in Lepton Flavored Dark Matter from an extra dimension · Introduction · 0.87
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Radiative corrections to the masses of the KK-states are important from phenomenological view point and has been considered in Ref. [ref] and in Ref. [ref] .
A note on gauge-fixing in the electroweak sector of nmUED · Introduction · 0.86
Discussion
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