The a-function in six dimensions

Abstract

The a-function is a proposed quantity defined in even dimensions which has a monotonic behaviour along RG flows, related to the beta-functions via a gradient flow equation. We study the a-function for a general scalar theory in six dimensions, using the beta-functions up to three-loop order for both the MSbar and MOM schemes (the latter presented here for the first time at three loops).

27 pages, seven figures, uses axodraw. Minor improvements in wording

References in corpus (3)

• Structures on the Conformal Manifold in Six Dimensional Theories
• A challenge to the $a$-theorem in six dimensions
• The local RG equation and chiral anomalies

Cited by in corpus (13)

• Seeking Fixed Points in Multiple Coupling Scalar Theories in the $\epsilon$ Expansion
• Prismatic Large $N$ Models for Bosonic Tensors
• Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• On Ambiguities and Divergences in Perturbative Renormalization Group Functions
• Constraints on Perturbative RG Flows in Six Dimensions
• The a-function in three dimensions: beyond leading order
• Symmetry and universality of multi-field interactions in $6-\epsilon$ dimensions
• Random Field ${\varphi }^3$ Model and Parisi-Sourlas Supersymmetry
• Scheme invariants in phi^4 theory in four dimensions
• The a-function for N=2 supersymmetric gauge theories in three dimensions
• Weyl Consistency Conditions from a local Wilsonian Cutoff
• The local renormalization of super-Yang-Mills theories