Non-local form factors for curved-space antisymmetric fields

Abstract

In the recent paper Buchbinder, Kirillova and Pletnev presented formal arguments concerning quantum equivalence of free massive antisymmetric tensor fields of second and third rank to the free Proca theory and massive scalar field with minimal coupling to gravity, respectively. We confirm this result using explicit covariant calculations of non-local form factors based on the heart-kernel technique, and discuss the discontinuity of quantum contributions in the massless limit.

Small changes, a few references added. Version accepted in PRD

References in corpus (3)

• On the non-local heat kernel expansion
• Quantum Effects in Softly Broken Gauge Theories in Curved Space-Times
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space

Cited by in corpus (7)

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• Inflation with an antisymmetric tensor field
• Newtonian potential in higher-derivative quantum gravity
• Covariant Effective Action for Antisymmetric Tensor Field
• On the quantum equivalence of an antisymmetric tensor field with spontaneous Lorentz violation
• Effective Potential in the 3D Massive 2-form Gauge Superfield Theory
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models