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Title: Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions

Abstract

The observed slow running of the gauge coupling in SU(3) lattice gauge theory with two flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling, the fermion mass, and that at zero mass correlation functions decay algebraically. I perform a finite-size scaling study on simulation data at two values of the bare gauge coupling with this assumption and observe a common exponent for the scaling of the correlation length with the fermion mass, y{sub m}{approx}1.5. An analysis of the scaling of valence Dirac eigenvalues at one of these bare couplings produces a similar number.

Authors:
 [1]
  1. Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States) and Niels Bohr International Academy, Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen O (Denmark)
Publication Date:
OSTI Identifier:
21313493
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.80.114507; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRELATION FUNCTIONS; CORRELATIONS; COUPLING; EIGENVALUES; FERMIONS; GAUGE INVARIANCE; LATTICE FIELD THEORY; MASS; PARTICLE DECAY; SCALING; SIMULATION; SU-3 GROUPS

Citation Formats

DeGrand, Thomas. Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.114507.
DeGrand, Thomas. Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions. United States. doi:10.1103/PHYSREVD.80.114507.
DeGrand, Thomas. Tue . "Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions". United States. doi:10.1103/PHYSREVD.80.114507.
@article{osti_21313493,
title = {Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions},
author = {DeGrand, Thomas},
abstractNote = {The observed slow running of the gauge coupling in SU(3) lattice gauge theory with two flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling, the fermion mass, and that at zero mass correlation functions decay algebraically. I perform a finite-size scaling study on simulation data at two values of the bare gauge coupling with this assumption and observe a common exponent for the scaling of the correlation length with the fermion mass, y{sub m}{approx}1.5. An analysis of the scaling of valence Dirac eigenvalues at one of these bare couplings produces a similar number.},
doi = {10.1103/PHYSREVD.80.114507},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 80,
place = {United States},
year = {2009},
month = {12}
}