Eigenvalue spectrum and scaling dimension of lattice N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills

Journal of High Energy Physics

David Schaich¹  Georg Bergner² 

[1] Department of Mathematical Sciences, University of Liverpool;University of Jena, Institute for Theoretical Physics;

关键词: Lattice Quantum Field Theory;    Supersymmetric Gauge Theory;    Extended Supersymmetry;    Lattice QCD;   

DOI  :  10.1007/JHEP04(2021)260

来源: DOAJ

【 摘 要 】

Abstract We investigate the lattice regularization of N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory, by stochastically computing the eigenvalue mode number of the fermion operator. This provides important insight into the non-perturbative renormalization group flow of the lattice theory, through the definition of a scale-dependent effective mass anomalous dimension. While this anomalous dimension is expected to vanish in the conformal continuum theory, the finite lattice volume and lattice spacing generically lead to non-zero values, which we use to study the approach to the continuum limit. Our numerical results, comparing multiple lattice volumes, ’t Hooft couplings, and numbers of colors, confirm convergence towards the expected continuum result, while quantifying the increasing significance of lattice artifacts at larger couplings.

【 授权许可】

Unknown