The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Quantum fields and extended objects in space-times with constant curvature spatial section
Open accessAbstract
Abstract The heat-kernel expansion and ζ-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times with spatial section consisting in manifold with constant curvature are discussed in detail. Several mathematical results, relevant to physical applications are presented, including exact solutions of the heat-kernel equation, a simple exposition of hyperbolic geometry and an elementary derivation of the Selberg trace formula. With regard to the physical applications, the vacuum energy for scalar fields, the one-loop renormalization of a self-interacting scalar field theory on a hyperbolic space-time, with a discussion on the topological symmetry breaking, the finite-temperature effects and the Bose-Einstein condensation, are considered. Some attempts to generalize the results to extended objects are also presented, including some remarks on path-integral quantization, asymptotic properties of extended objects and a novel representation for the one-loop (super) string free energy.
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Citations
Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
On the quantum structure of a black hole
't Hooft, G. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90418-3 · Cited by 1,311
R-Torsion and the Laplacian on Riemannian manifolds
Ray, D. B., & Singer, I. M. (1971) · Advances in Mathematics · doi:10.1016/0001-8708(71)90045-4 · Cited by 945
Callan, C., & Wilczek, F. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)91007-3 · Cited by 826
The Casimir effect for a class of hyperbolic (D+1)-dimensional spacetimes
Bytsenko, A. A., & Zerbini, S. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/5/017 · Cited by 16
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Cited by
Advances in the Casimir Effect
Bordag, M., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · doi:10.1093/acprof:oso/9780199238743.001.0001 · Cited by 1,284
Heat kernel asymptotics: More special case calculations
Kirsten, K. (2002) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(01)01598-5 · Cited by 16
Saharian, A. A., & Mkhitaryan, A. L. (2010) · The European Physical Journal C · doi:10.1140/epjc/s10052-010-1247-0 · Cited by 13
Metadata
- Authors
- Bytsenko, A. A., Cognola, G., Vanzo, L., & Zerbini, S.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 1996-02
- Volume
- 266
- Issue
- 1-2
- Pages
- 1-126
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W1977248301
- Cited by
- 256
- References
- 8
- FWCI
- 9.33
- Type
- journal article
- Language
- en
- Open access
- green
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- Bytsenko, A. A., Cognola, G., Vanzo, L., & Zerbini, S. (1996). Quantum fields and extended objects in space-times with constant curvature spatial section. Physics Reports. https://doi.org/10.1016/0370-1573(95)00053-4
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