Exploring conformality in lattice N=4 supersymmetric Yang--Mills

Schaich, David ORCID: 0000-0002-9826-2951 (2023) Exploring conformality in lattice N=4 supersymmetric Yang--Mills. In: The 39th International Symposium on Lattice Field Theory, 2022-8-8 - ?.

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Official URL: http://dx.doi.org/10.22323/1.430.0220

Abstract

Maximally supersymmetric Yang-Mills theory (N = 4 SYM) is conformal for any value of the coupling. Lattice regularization breaks conformality through the introduction of a non-zero lattice spacing and a finite lattice volume. This proceedings presents ongoing computations of conformal scaling dimensions in lattice N = 4 SYM, based on a lattice formulation that exactly preserves a supersymmetry sub-algebra at non-zero lattice spacing. The main targets are the non-trivial anomalous dimension of the Konishi operator, as well as a mass anomalous dimension extracted from the eigenvalue mode number of the fermion operator. The latter is expected to vanish in the conformal continuum theory, providing insight into the interplay of lattice discretization and conformality.

Item Type:	Conference or Workshop Item (Unspecified)
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	22 May 2023 07:32
Last Modified:	22 May 2023 07:32
DOI:	10.22323/1.430.0220
Open Access URL:	https://doi.org/10.22323/1.430.0220
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3170562