One-loop effects in higher-dimensional Yang-Mills theories

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:5015340

Carter, M R

I study a model of a compactified Kaluza-Klein theory as an SU(2) gauge theory on a flat n-dimensional Minkowski space M{sup n} in a direct product with a two sphere S{sup 2}. The gauge and ghost gaussian functional integrals (one loop effective potentials) are explicitly calculated. To this order, SU(2) does indeed breakdown dynamically to U(1) on M{sup n} {times} S{sup 2} as Hosotani previously conjectured. On M{sup n}, there is an infinite tower of massive gauge bosons with m{sup 2} proportional to m{sub planck}{sup 2} with a massless photon and two tachyons. A renormalization scheme for M{sup n} {times} S{sup 2} for all odd n and for n = 2 is presented. The n = 2 result reproduces the standard four dimensional beta function for a fixed spatial background. In addition, the perturbation theory on M{sup 2} is developed. In particular, induced tree level fermion-gauge field and one loop fermion-higgs Yukawa couplings are computed. The latter calculation generates a mass hierarchy for the massless fermions on M{sup 2}.

• Research Organization: Stanford Univ., CA (USA)
• OSTI ID: 5015340
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCULATION METHODS
COMPACTIFICATION
FIELD THEORIES
KALUZA-KLEIN THEORY
PERTURBATION THEORY
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY