Nonperturbative renormalization of the supercurrent in $\mathcal{N}=1$ Supersymmetric Yang-Mills Theory

Abstract

In this work, we study the nonperturbative renormalization of the supercurrent operator in $\mathcal{N}=1$ Supersymmetric Yang-Mills (SYM) theory, using a gauge-invariant renormalization scheme (GIRS). The proposed prescription addresses successfully the unwanted mixing of the supercurrent with other operators of equal or lower dimension, which respect the same global symmetries. This mixing is introduced by the unavoidable breaking of supersymmetry on the lattice. In GIRS all gauge-noninvariant operators, which mix with the supercurrent, are excluded from the renormalization procedure. The one remaining mixing operator is accessible by numerical simulations. We present results for the renormalization of the supercurrent using a GIRS scheme. We also compute at one-loop order the conversion matrix which relates the nonperturbative renormalization factors in GIRS to the reference scheme $\overline{\mathrm{MS}}$.

arXiv comment17 pages, 6 figures and 1 table

References in corpus (22)

• Renormalisation and off-shell improvement in lattice perturbation theory
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• Renormalization functions for Nf=2 and Nf=4 Twisted Mass fermions
• The supersymmetric Ward identities on the lattice
• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• The light bound states of supersymmetric SU(2) Yang-Mills theory
• Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results
• One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory
• Non-perturbative renormalization of lattice operators in coordinate space
• Supersymmetry, chiral symmetry and the generalized BRS transformation in lattice formulations of 4D $\mathcal{N}=1$ SYM
• Numerical results for the lightest bound states in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Supersymmetric QCD on the Lattice: An Exploratory Study
• Perturbative calculation of the clover term for Wilson fermions in any representation of the gauge group SU(N)
• Gauge-invariant Renormalization Scheme in QCD: Application to fermion bilinears and the energy-momentum tensor
• Analysis of Ward identities in supersymmetric Yang-Mills theory
• $O(4)$-symmetric position-space renormalization of lattice operators
• Gauge-invariant Renormalization of the Gluino-Glue operator
• Continuum extrapolation of Ward identities in $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory
• Perturbative renormalization of the supercurrent operator in lattice $\mathcal{N}=1$ supersymmetric Yang-Mills theory
• Renormalization and Mixing of the Gluino-Glue Operator on the Lattice