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Title: Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks

Abstract

We numerically evaluate the one-loop counterterms for the four-dimensional Wess-Zumino model formulated on the lattice using Ginsparg-Wilson fermions of the overlap (Neuberger) variety, together with an auxiliary fermion (plus superpartners), such that a lattice version of U(1){sub R} symmetry is exactly preserved in the limit of vanishing bare mass. We confirm previous findings by other authors that at one loop there is no renormalization of the superpotential in the lattice theory, but that there is a mismatch in the wave-function renormalization of the auxiliary field. We study the range of the Dirac operator that results when the auxiliary fermion is integrated out, and show that localization does occur, but that it is less pronounced than the exponential localization of the overlap operator. We also present preliminary simulation results for this model, and outline a strategy for nonperturbative improvement of the lattice supercurrent through measurements of supersymmetry Ward identities. Related to this, some benchmarks for our graphics processing unit code are provided. Our simulation results find a nearly vanishing vacuum expectation value for the auxiliary field, consistent with approximate supersymmetry at weak coupling.

Authors:
; ;  [1]
  1. Department of Physics, Applied Physics and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy New York 12065 (United States)
Publication Date:
OSTI Identifier:
21432404
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 82; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.82.085001; (c) 2010 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; BENCHMARKS; COUPLING; DIRAC OPERATORS; FERMIONS; FOUR-DIMENSIONAL CALCULATIONS; LATTICE FIELD THEORY; MASS; RENORMALIZATION; SIMULATION; SUPERSYMMETRY; U-1 GROUPS; WARD IDENTITY; WAVE FUNCTIONS; CALCULATION METHODS; CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SYMMETRY; SYMMETRY GROUPS; U GROUPS

Citation Formats

Chen, Chen, Dzienkowski, Eric, and Giedt, Joel. Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.085001.
Chen, Chen, Dzienkowski, Eric, & Giedt, Joel. Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks. United States. https://doi.org/10.1103/PHYSREVD.82.085001
Chen, Chen, Dzienkowski, Eric, and Giedt, Joel. 2010. "Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks". United States. https://doi.org/10.1103/PHYSREVD.82.085001.
@article{osti_21432404,
title = {Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks},
author = {Chen, Chen and Dzienkowski, Eric and Giedt, Joel},
abstractNote = {We numerically evaluate the one-loop counterterms for the four-dimensional Wess-Zumino model formulated on the lattice using Ginsparg-Wilson fermions of the overlap (Neuberger) variety, together with an auxiliary fermion (plus superpartners), such that a lattice version of U(1){sub R} symmetry is exactly preserved in the limit of vanishing bare mass. We confirm previous findings by other authors that at one loop there is no renormalization of the superpotential in the lattice theory, but that there is a mismatch in the wave-function renormalization of the auxiliary field. We study the range of the Dirac operator that results when the auxiliary fermion is integrated out, and show that localization does occur, but that it is less pronounced than the exponential localization of the overlap operator. We also present preliminary simulation results for this model, and outline a strategy for nonperturbative improvement of the lattice supercurrent through measurements of supersymmetry Ward identities. Related to this, some benchmarks for our graphics processing unit code are provided. Our simulation results find a nearly vanishing vacuum expectation value for the auxiliary field, consistent with approximate supersymmetry at weak coupling.},
doi = {10.1103/PHYSREVD.82.085001},
url = {https://www.osti.gov/biblio/21432404}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 82,
place = {United States},
year = {Fri Oct 15 00:00:00 EDT 2010},
month = {Fri Oct 15 00:00:00 EDT 2010}
}