Quantum equivalence of massive antisymmetric tensor field models in curved space

被引：31

作者：

Buchbinder, I. L. ^{[1
]}

Kirillova, E. N. ^{[1
]}

Pletnev, N. G. ^{[2
]}

机构：

[1] Tomsk State Pedag Univ, Dept Theoret Phys, Tomsk 634041, Russia

[2] Russian Acad Sci, Inst Math, Dept Theoret Phys, Novosibirsk 630090, Russia

来源：

PHYSICAL REVIEW D | 2008年 / 78卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.78.084024

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：6

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