TY - JOUR
T1 - Studies of chiral symmetry breaking in SU(2) lattice gauge theory
AU - Kogut, J.
AU - Stone, M.
AU - Wyld, H. W.
AU - Shenker, S. H.
AU - Shigemitsu, J.
AU - Sinclair, D. K.
N1 - Funding Information:
This work was supportedin part by the National Science Foundation under grants no. PHY-82-01948 and no. DMR-81-17182a nd in part by the US Department of Energy under grants no. DE-AC02-81ER10957a nd no. DE-AC02-76-ER01545.
PY - 1983/11/28
Y1 - 1983/11/28
N2 - We study chiral symmetry breaking (χSB) in SU(2) lattice gauge theory with quarks in the l = 1 2, l = 1, l = 3 2, and l = 2 representations of the color group. We perform Monte Carlo evaluations of 〈ψψ〉 in the quenched approximation and extract the relevant length scales for χSB. We revise a previous estimate for the ratio between the chiral symmetry restoration temperatures for fundamental and adjoint quarks and obtain Tl = 1/Tl = 1 2 ∼ 8. Our results for the higher representations, l = 3 2and l = 2, are consistent with Casimir scaling and give C2gmom2 ∼ 4. Many aspects of our calculational method are explained in detail. The issues discussed include the relation between χSB in the quenched approximation and the spectrum of the Dirac operator, the flavor symmetries of euclidean staggered fermions, estimates of finite-size effects and the reliability of m → 0 extrapolations on finite lattices.
AB - We study chiral symmetry breaking (χSB) in SU(2) lattice gauge theory with quarks in the l = 1 2, l = 1, l = 3 2, and l = 2 representations of the color group. We perform Monte Carlo evaluations of 〈ψψ〉 in the quenched approximation and extract the relevant length scales for χSB. We revise a previous estimate for the ratio between the chiral symmetry restoration temperatures for fundamental and adjoint quarks and obtain Tl = 1/Tl = 1 2 ∼ 8. Our results for the higher representations, l = 3 2and l = 2, are consistent with Casimir scaling and give C2gmom2 ∼ 4. Many aspects of our calculational method are explained in detail. The issues discussed include the relation between χSB in the quenched approximation and the spectrum of the Dirac operator, the flavor symmetries of euclidean staggered fermions, estimates of finite-size effects and the reliability of m → 0 extrapolations on finite lattices.
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U2 - 10.1016/0550-3213(83)90415-7
DO - 10.1016/0550-3213(83)90415-7
M3 - Article
AN - SCOPUS:30244474323
SN - 0550-3213
VL - 225
SP - 326
EP - 370
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -