Spontaneous Symmetry Breaking in the Brane-World

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Abstract

A simplified Randall-Sundrum-like model in 6 dimensions is discussed. The extra two dimensions correspond to the cone. The effective four-dimensional scalar self-interacting theory is studied at one-loop level. The contributions due to 6-dimensional parameters in four-dimensional beta-functions appear. Using such beta-functions the one-loop effective potential is calculated. The possibility of spontaneous symmetry breaking due to extra dimensions is demonstrated.

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A Large Mass Hierarchy from a Small Extra Dimension

Raman Sundrum, Lisa Randall (1999)

We propose a new higher-dimensional mechanism for solving the Hierarchy Problem. The Weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of AdS_5 spacetime). This mechanism relies on the existence of only a single additional dimension. We demonstrate a simple explicit example of this mechanism with two three-branes, one of which contains the Standard Model fields. The experimental consequences of this scenario are new and dramatic. There are fundamental spin-2 excitations with mass of weak scale order, which are coupled with weak scale as opposed to gravitational strength to the standard model particles. The phenomenology of these models is quite distinct from that of large extra dimension scenarios; none of the current constraints on theories with very large extra dimensions apply.

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Dynamical symmetry breaking in curved spacetime -review-

T Muta, T Inagaki, S. Odintsov (1997)

Four-fermion interaction models are considered to be prototype models for dynamical symmetry breaking.The present review deals with recent developments in the studies of dynamical symmetry breaking in the four-fermion interaction models and their extension in curved spacetime. Starting with the Minkowski spacetime in dimension \(D\) (\(2 \leq D \leq 4\)) the effective potential in the leading order of \(1/N\)-expansion is calculated and the phase structure of the theory is investigated. In curved spacetime curvature-induced phase transitions are discussed in the circumstances where fermion masses are dynamically generated. Subsequently a possibility of curvature- and temperature-induced or curvature- and topology-induced phase transitions is discussed. It is also argued that the chiral symmetry broken by a weak magnetic field may be restored due to the presence of gravitational field. Finally some applications of four-fermion models in quantum gravity are briefly described.

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Publication date Created: 2001-12-17

Article

ArXiV ID: gr-qc/0112039

SO-VID: 4491ee38-7aa7-4237-b516-b5cc1d491a57

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Journal reference Grav.Cosmol. 8 (2002) 141-143

Comments 12 pages, LaTeX, no figures. Corrected typos. Submitted to Gravitation and Cosmology (G@C), special issue devoted to Quantum Gravity, Unified Models, and Strings, to mark the 100th anniversary of Tomsk State Pedagogical University. Editor: Prof. S. D. Odintsov

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ScienceOpen disciplines: General relativity & Quantum cosmology

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ScienceOpen disciplines: General relativity & Quantum cosmology

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