TY - JOUR
T1 - SU(N) × SU(N) spin systems in two dimensions crossover, variant actions and finite size scaling
AU - Kogut, J.
AU - Snow, M.
AU - Stone, M.
N1 - Funding Information:
The authors are supported in part by the National Science Foundation Grant NSF PHY79-00272. They thank the Research Board of the University of Illinois at Urbana-Champaign for 80 hours of CYBER 175 time.
PY - 1983/1/3
Y1 - 1983/1/3
N2 - Studies of the SU(3) × SU(3) chiral model with various actions are made in two dimensions using Monte Carlo methods. Similarities with four-dimensional gauge models are drawn and the relevance of topological excitations is seen in computer simulations. Finite size scaling studies of the fundamental model suggest that asymptotic freedom scaling laws are obscured by the rich phase structure in models with generalized actions. Actions which are adjusted to fit continuum forms more accurately at weak coupling may be necessary to extract quantitative physics of the continuum limit from such models. Similar procedures may be necessary for SU(3) gauge theory in four dimensions.
AB - Studies of the SU(3) × SU(3) chiral model with various actions are made in two dimensions using Monte Carlo methods. Similarities with four-dimensional gauge models are drawn and the relevance of topological excitations is seen in computer simulations. Finite size scaling studies of the fundamental model suggest that asymptotic freedom scaling laws are obscured by the rich phase structure in models with generalized actions. Actions which are adjusted to fit continuum forms more accurately at weak coupling may be necessary to extract quantitative physics of the continuum limit from such models. Similar procedures may be necessary for SU(3) gauge theory in four dimensions.
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U2 - 10.1016/0550-3213(83)90266-3
DO - 10.1016/0550-3213(83)90266-3
M3 - Article
AN - SCOPUS:0001900959
SN - 0550-3213
VL - 215
SP - 45
EP - 67
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1
ER -