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THE FINITE VACUUM ENERGY FOR SPINOR, SCALAR AND VECTOR FIELDS

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SHTYKOV, N.N.·1995·International Journal of Modern Physics A

Abstract

We compute the one-loop potential (the Casimir energy) for scalar fields with coupling ξR and massive spinor and vector fields on the spaces R m+1×Y with Y=S N, CP 2. We find that in most of the models a divergent part of the Casimir energy on even-dimensional spaces is canceled by means of the appropriate values of ξ, m sp, m v. As a physical model we consider spinor electrodynamics on four-dimensional product manifolds and show that the Casimir energy is finite on R 1×S 3, R 3×S 1 and R 2×S 2 for m sp=0, m sp=0 and [Formula: see text] respectively.

Overview

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Crossref · 10.1142/s0217751x95001133

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Metadata

Authors
SHTYKOV, N. N.
Affiliations
Tokyo Institute of Technology (JP)
Corresponding author
SHTYKOV, N.N.
Venue
International Journal of Modern Physics A
Published
1995-06-30
Volume
10
Issue
16
Pages
2333-2347
ISSN
  • 0217-751X (ISSN-L)
  • 1793-656X
OpenAlex
W2150527218
Cited by
0
References
0
FWCI
0.00
Type
journal article
Language
en
Open access
Locations
  • International Journal of Modern Physics A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
Keywords
Casimir energy, vacuum energy, massive spinor field, massive vector field, massive scalar field, conformal coupling, product manifolds, sphere, complex projective space, spinor electrodynamics

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CoChat. (2026). Citation check: THE FINITE VACUUM ENERGY FOR SPINOR, SCALAR AND VECTOR FIELDS. https://app.cochat.ai/papers/10.1142/s0217751x95001133
The paper
SHTYKOV, N. N. (1995). THE FINITE VACUUM ENERGY FOR SPINOR, SCALAR AND VECTOR FIELDS. International Journal of Modern Physics A. https://doi.org/10.1142/s0217751x95001133

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.