An anomaly associated with 4-dimensional quantum gravity

DOI10.1007/BF02099450zbMath0864.53066OpenAlexW2022791323MaRDI QIDQ1924022

Thomas P. Branson

Publication date: 27 November 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099450

zbMATH Keywords

quantum gravityconformal invariancePaneitz operatorfunctional determinant

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) Applications of differential geometry to physics (53Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items

The logarithmic Hardy-Littlewood-Sobolev inequality and extremals of zeta functions on \(S^ n\) ⋮ Spontaneous symmetry breaking and geometry from the spectral viewpoint ⋮ Sharp inequalities and geometric manifolds ⋮ Multiplicative anomaly matches Casimir energy for GJMS operators on spheres ⋮ On partition function and Weyl anomaly of conformal higher-spin fields ⋮ Non-uniqueness results for critical metrics of regularized determinants in four dimensions ⋮ Conformally variational Riemannian invariants ⋮ Geometry of bounded critical phenomena ⋮ The higher derivative fermionic operator and trace anomaly ⋮ UNFOLDED FORM OF CONFORMAL EQUATIONS IN M DIMENSIONS AND 𝔬(M + 2)-MODULES

Cites Work

• Unnamed Item
• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Local invariants of spectral asymmetry
• A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
• A conformally invariant Maxwell gauge.
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Group representations arising from Lorentz conformal geometry
• Invariants of conformal Laplacians
• The spectral geometry of the higher order Laplacian
• Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
• Estimates and extremals for zeta function determinants on four-manifolds
• Conformal geometry and global invariants
• The Fröhlicher spectral sequence on a twistor space
• Differential operators cononically associated to a conformal structure.
• Explicit Functional Determinants in Four Dimensions
• Sharp Inequalities, the Functional Determinant, and the Complementary Series