Non-Commutative Complete Mellin Representation for Feynman Amplitudes
R. Gurau, A.P.C. Malbouisson, V. Rivasseau, A. Tanasa
TL;DR
This paper extends the complete Mellin representation to non-commutative quantum field theories, enabling easier analysis of Feynman amplitudes' properties and supporting dimensional renormalization.
Contribution
It introduces a non-commutative complete Mellin representation, facilitating the study of Feynman amplitudes' meromorphy and asymptotic behavior in non-commutative QFTs.
Findings
Provides a proof of meromorphy of Feynman amplitudes
Enables dimensional renormalization in non-commutative theories
Allows analysis of asymptotic behavior under rescaling
Abstract
We extend the complete Mellin (CM) representation of Feynman amplitudes to the non-commutative quantum field theories. This representation is a versatile tool. It provides a quick proof of meromorphy of Feynman amplitudes in parameters such as the dimension of space-time. In particular it paves the road for the dimensional renormalization of these theories. This complete Mellin representation also allows the study of asymptotic behavior under rescaling of arbitrary subsets of external invariants of any Feynman amplitude.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.