Dimensional regularization of a compact dimension

Abstract

An extension of dimensional regularization to the case of compact dimensions is presented. The procedure preserves the Kaluza-Klein tower structure, but has a regulator specific to the compact dimension. Possible 5 and 4 dimensional divergent as well as manifest finite contributions of (one-loop) Feynman graphs can easily be identified in this scheme.

12 pages, LaTeX, 1 figure, some minor changes and references added

References in corpus (4)

• A Warped Supersymmetric Standard Model
• Gauge corrections and FI-term in 5D KK theories
• Graviton loops and brane observables
• Quadratic Divergences in Kaluza-Klein Theories

Cited by in corpus (26)

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• New Ideas in Symmetry Breaking
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• Flavor Hierarchy from Extra Dimension and Gauge Threshold Correction
• Mass corrections in string theory and lattice field theory
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• Loop-Effects in Pseudo-Supersymmetry
• New Regulators for Quantum Field Theories with Compactified Extra Dimensions. II: Ultraviolet Finiteness and Effective Field Theory Implementation
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• Kinetic Mixing from Kaluza-Klein Modes: A Simple Construction for Portal Matter
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• Decoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional Scalar Fields
• Stability of the Higgs mass in theories with extra dimensions
• Gauge Threshold Corrections in Warped Geometry
• A Kaluza-Klein Model with Spontaneous Symmetry Breaking: Light-Particle Effective Action and its Compactification Scale Dependence
• Muon g-2 in a Model with one Extra Dimension