Quantum equivalence of massive antisymmetric tensor field models in curved space

Journal Article · Wed Oct 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.084024· OSTI ID:21254449

Buchbinder, I L; Kirillova, E N; Pletnev, N G ^[1]

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1. Department of Theoretical Physics Tomsk State Pedagogical University Tomsk 634041 (Russian Federation)

We study the effective actions in massive rank 2 and rank 3 antisymmetric tensor field models in curved space-time. These models are classically equivalent to massive vector field and massive scalar field with minimal coupling to gravity, respectively. We prove that the effective action for massive rank 2 antisymmetric tensor field is exactly equal to that for massive vector field and the effective action for massive rank 3 antisymmetric tensor field is exactly equal to that for massive scalar field. The proof is based on an identity for mass-dependent zeta functions associated with Laplacians acting on p forms.

• OSTI ID: 21254449
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
GRAVITATION
LAPLACIAN
MASS
MATHEMATICAL SPACE
SCALAR FIELDS
SIMULATION
SPACE-TIME
TENSOR FIELDS
VECTOR FIELDS