No Conformal Anomaly in Unimodular Gravity

Abstract

The conformal invariance of unimodular gravity survives quantum corrections, even in the presence of conformal matter. Unimodular gravity can actually be understood as a certain truncation of the full Einstein-Hilbert theory, where in the Einstein frame the metric tensor enjoys unit determinant. Our result is compatible with the idea that the corresponding restriction in the functional integral is consistent as well.

20 pages; misprints corrected

References in corpus (6)

• Unimodular cosmology and the weight of energy
• Probing the small distance structure of canonical quantum gravity using the conformal group
• Unimodular gravity with external sources
• Ultraviolet behavior of transverse gravity
• Aspects of Infrared Modifications of Gravity
• Renormalized Kaluza-Klein theories

Cited by in corpus (11)

• The Renormalization Group flow of unimodular f(R) gravity
• On the UV structure of quantum unimodular gravity
• The path integral of unimodular gravity
• Gravity with more or less gauging
• Longitudinal diffeomorphisms obstruct the protection of vacuum energy
• Weyl Gravity Revisited
• Analyzing modified unimodular gravity via Lagrange multipliers
• First Order formulation of Unimodular Gravity
• Thermodynamics of spacetime and unimodular gravity
• Noether charge formalism for Weyl invariant theories of gravity
• Noether charge formalism for Weyl transverse gravity