Scheme invariants in φ^4 theory in four dimensions

Jack, DI and Poole, C (2018) Scheme invariants in φ^4 theory in four dimensions. Physical Review D (Particles, Fields, Gravitation and Cosmology), 98 (6). 065011-.

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Abstract

We provide an analysis of the structure of renormalization scheme invariants for the case of ϕ4 theory, relevant in four dimensions. We give a complete discussion of the invariants, up to four loops, and include some partial results at five loops, showing that there are considerably more invariants than one might naively have expected. We also show that one-vertex reducible contributions may consistently be omitted in a well-defined class of schemes, which of course includes ¯¯¯¯¯¯MS.

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	03 Dec 2018 11:11
Last Modified:	17 Mar 2024 01:45
DOI:	10.1103/PhysRevD.98.065011
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3029417