Renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime
- 1. Department ECM and IFAE, Faculty of Physics, University of Barcelona, Diagonal 647, 08028 Barcelona (Spain)
- 2. Center for Advanced Studies CEAB, Consejo Superior de Investigaciones Cientificas, Cami de Santa Barbara, 17300 Blanes
- 3. Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019 (United States)
- 4. Department ECM, Faculty of Physics, University of Barcelona, Diagonal 647, 08028 Barcelona (Spain)
- 5. Tomsk Pedagogical University, 634041 Tomsk (Russia)
Description
The renormalization group (RG) is used to study the asymptotically free φ36 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 ζ-function techniques, the one-loop vacuum energy and corresponding RG-improved vacuum energy are found for the Kaluza-Klein backgrounds R4xS1xS1 and R4xS2. 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 1996 The American Physical Society
Additional details
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 54
- Journal Issue
- 10
- Journal Page Range
- p. 6372-6380.
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 28009753
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- COMPACTIFICATION; COUPLING; GRAVITATIONAL FIELDS; KALUZA-KLEIN THEORY; MANY-DIMENSIONAL CALCULATIONS; POTENTIALS; QUANTUM FIELD THEORY; RENORMALIZATION; SCALAR FIELDS; SPACE-TIME; SYMMETRY BREAKING
- Descriptors DEC
- FIELD THEORIES; UNIFIED-FIELD THEORIES