Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space

Details Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space

2008-06-21

arxiv.org/abs/0806.3505v4

Phys.Rev.D78:084024,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, REVTeX file

Scientific paper

10.1103/PhysRevD.78.084024

We study the effective actions for 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 effective action for massive rank-2 antisymmetric tensor field is exactly equal to one for massive vector field and effective action for massive rank-3 antisymmetric tensor field is exactly equal to one for massive scalar field. Prove is based on an identity for mass-dependent zeta-functions associated with Laplacians acting on $p$-forms.

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