The Volume Source Technique for flavor singlets: a second look

Abstract

We reconsider the Volume Source Technique (VST) for the determination of flavor singlet quantities on the lattice. We point out a difficulty arising in the case of fermions in real representations of the gauge group and propose an improved version of the method (IVST) based on random gauge transformations of the background configuration. We compare the performance of IVST with the method based on stochastic estimators (SET). We consider the case of the N=1 Supersymmetric Yang-Mills Theory (SYM), where just one fermionic flavor is present, the gluino in the adjoint representation, and only flavor singlet states are possible. The work is part of an inclusive analysis of the spectrum of the lightest particles of the theory, based on the simulation of the model on a $16^3\cdot 32$ lattice with dynamical gluinos in the Wilson scheme.

arXiv comment11 pages, 6 figures, some formulations changed

References in corpus (5)

• Supersymmetric Yang-Mills theory on the lattice
• The supersymmetric Ward identities on the lattice
• Monte Carlo simulation of SU(2) Yang-Mills theory with light gluinos
• On the Effective Action of N=1 Supersymmetric Yang-Mills Theory
• Improving Stochastic Estimator Techniques for Disconnected Diagrams

Cited by in corpus (5)

• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Progress in four-dimensional lattice supersymmetry
• Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions