Heat Kernel and Quantum Gravity

By Ivan G. Avramidi. 2000

227 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/caca71e59aacbb923696af83e0c700e823600e09

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

The asymptotic safety scenario in quantum gravity: an introduction (2006, methodology): “The result of Avramidi and Barvinsky [15, 14] in dimensional regularization has been confirmed in [24] and in the present conventions reads ∆S(1) = −Γ(1)div = µd−4 (4π)2(d− 4) ∫ ddx √ q { 2s(u(ω)− γ(ω)) Λ̃ + ( s cdGN )2 1 + 20ω2 8ω2 +γ(ω) s cdGN R + 133 20 C2 + 5 36 (1 + 12ω + 8ω2)R2 + 196 45 E } .”
Physical aspects of the space-time torsion (2001, background): “One can find the review of this method, its generalizations and developments and the list of many relevant references in [63, 16, 181, 11].”
Heat kernel expansion: user's manual (2003, background): “ent review paper [77] is devoted to the Casimir effect (see also [316]). The monographs by Birrell and Davies [67] and Fulling [218] remain standard sources on quantum ﬁeld theory in curved space. In [105,195,186,29,188] the heat kernel expansion is treated from the point of view of quantum gravity ”
Functional determinants in quantum field theory (2007, background): “For example, the determinant of Dirac or Klein-Gordon operators on spheres, cones and tori are known in quite explicit form [5, 6].”
Taming perturbative divergences in asymptotically safe gravity (2009, methodology): “In this appendix we derive the corresponding coefficients starting from the early time heat-kernel expansion of a generic two-derivative differential operator [43, 44] (see also [27] for a nice exposition in the context of the FRG).”
A Tower Weak Gravity Conjecture from Infrared Consistency (2018, methodology): “We refer to [65] for the complete expression for b8.”