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arXiv · 1704.08674

Towards UV Finiteness of Infinite Derivative Theories of Gravity and Field Theories

Spyridon Talaganis
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Abstract

In this paper we will consider the ultraviolet (UV) finiteness of the most general one-particle irreducible ($1$PI) Feynman diagrams within the context of ghost-free, infinite-derivative scalar toy model, which is inspired from ghost free and singularity-free infinite-derivative theory of gravity. We will show that by using dressed vertices and dressed propagators, $n$-loop, $N$-point diagrams constructed out of lower-loop $2$- & $3$-point and, in general, $N_i$-point diagrams are UV finite with respect to internal and external loop momentum. Moreover, we will demonstrate that the external momentum dependences of the $n$-loop, $N$-point diagrams constructed out of lower-loop $2$- & $3$-point and, in general, $N_i$-point diagrams decrease exponentially as the loop-order increases and the external momentum divergences are eliminated at sufficiently high loop-order.

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Spyridon Talaganis. 2017-04-27. Towards UV Finiteness of Infinite Derivative Theories of Gravity and Field Theories. https://arxiv.org/abs/1704.08674

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