FeynGrav: FeynCalc extension for gravity amplitudes

Abstract

Package FeynGrav which provides a framework to operate with Feynman rules for gravity within FeynCalc is presented. We present a framework to deal with Feynman rules for general relativity and non-supersymmetric matter minimally coupled to gravity. Applicability of the package is tested with 2 -> 2 on-shell tree level graviton scattering, polarization operators, and one-loop scalar-gravitational interaction structure.

FeynGrav 2.0

“…The perturbative structures of the inverse metric g µν , the volume factor √ −g, and the vierbein e m µ are described by families of I and C tensors defined in the original paper [1]. These tensors can be generated within a computer algebra system and offer a straightforward way to handle the corresponding perturbative expansions.…”

“…These tensors can be generated within a computer algebra system and offer a straightforward way to handle the corresponding perturbative expansions. While their discussion is beyond the scope of this paper, they are covered in great detail in [1].…”

“…This paper presents the recent development of the package "FeynGrav" [1]. The package provides a tool to operate with Feynman rules for perturbative quantum gravity within FeynCalc [2,3,4].…”

“…The package provides a tool to operate with Feynman rules for perturbative quantum gravity within FeynCalc [2,3,4]. In [1] the author proposed a novel analytic approach to the derivation of Feynman rules. It provides a way to construct the Feynman rules for a wide class of gravity models.…”

“…Widely-known package xAct [9,10,11,12,13,14] also provides a tool to operate with perturbative expansion within gravity models, but its applicability is mostly limited to the classical domain. We discuss opportunities to implement it within FeynGrav in the previous paper [1]. Lastly, recently another package providing a tool to operate with Feynman rules for gravity-matter coupling was created [15].…”