Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

By Spyridon Talaganis, Tirthabir Biswas, Anupam Mazumdar. 2014

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In this paper we will consider quantum aspects of a non-local, infinite-derivative scalar field theory—a toy model depiction of a covariant infinite-derivative, non-local extension of Einstein’s general relativity which has previously been shown to be free from ghosts around the Minkowski background. The graviton propagator in this theory gets an exponential suppression making it asymptotically free, thus providing strong prospects of resolving various classical and quantum divergences. In particular, we will find that at one loop, the two-point function is still divergent, but once this amplitude is renormalized by adding appropriate counter terms, the ultraviolet behavior of all other one-loop diagrams as well as the two-loop, two-point function remains well under control. We will go on to discuss how one may be able to generalize our computations and arguments to arbitrary loops.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/268e73895872b69d78b31c03df272550c380ba21

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Citations in the corpus

Classical and quantum initial conditions for Higgs inflation (2015, background): “3 In principle, large ξ may also yield higher derivative corrections up to quadratic in order, see [18], and also higher curvature corrections, but in this paper, we will consider for simplicity the lowest order corrections.”
Notes on nonsingular models of black holes (2016, background): “[12] Spyridon Talaganis, Tirthabir Biswas, and Anupam Mazumdar, “Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity,” Class.”
Occurrence of exact R2 inflation in non-local UV-complete gravity (2016, background): “There exists a subclass of theories, such that at quantum level they are super-renormalizable or finite and moreover ghost-like perturbative degrees of freedom do not show up [11, 17–19].”