Renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.6372· OSTI ID:389491

Elizalde, E ^[1]; Kantowski, R ^[2]; Odintsov, S D ^[3]

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1. Center for Advanced Studies CEAB, Consejo Superior de Investigaciones Cientificas, Cami de Santa Barbara, 17300 Blanes
2. Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019 (United States)
3. Tomsk Pedagogical University, 634041 Tomsk (Russia)

The renormalization group (RG) is used to study the asymptotically free {phi}{sup 3}{sub 6} theory in curved spacetime. Several forms of the RG equations for the effective potential are formulated. By solving these equations we obtain the one-loop effective potential as well as its explicit forms in the case of strong gravitational fields and strong scalar fields. Using {zeta}-function techniques, the one-loop vacuum energy and corresponding RG-improved vacuum energy are found for the Kaluza-Klein backgrounds {ital R}{sup 4}{times}{ital S}{sup 1}{times}{ital S}{sup 1} and {ital R}{sup 4}{times}{ital S}{sup 2}. They are given in terms of exponentially convergent series, appropriate for numerical calculations. A study of these vacuum energies as a function of compactification lengths and other couplings shows that spontaneous compactification can be qualitatively different when the RG-improved energy is used. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 389491
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMPACTIFICATION
COUPLING
CURVATURE
GRAVITATIONAL FIELDS
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
POTENTIALS
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SPACE-TIME
SYMMETRY BREAKING