格点规范理论非微扰及相关临界性质的蒙特卡罗研究

During the last three years we have concerned on the research subject of "Monte Carlo simulations of non-perturbation natures and critical characteristics for the lattice field theory" by numerical studies. We mainly concentrate our attentions on the numerical estimations of chiral logarithm parameter with the result of δ=0.25(0.03) from both the pseudo-scale meson mass m2ps diverge channel and the pseudo-scale decay constant fP channel by using the overlap fermion operator; the numerical study of critical universality of random-bond Potts spin systems with self-dual disorder distributions to calculate their critical exponents: θ=0.197(4) and β/ν=151(3), in the short-time dynamics. We have also performed Monte Carlo simulations for some other spin systems to study the critical features affected by frustration and impurity.

Weingarten夸克圈图展开方.法应用于含动力学费米场自由度修正.的胶球质量计算；夸克色禁闭的涡旋凝聚机制和有关拓扑荷的计.算及临界行为研究；用于连续相变理论的早期临缍ρХ椒ǘ?格点规范场论的连续极限问题的探索。研究成果将对有关高能物.理的实验峁┓俏⑷爬砺垡谰荩兄诟竦愎娣独砺鄣姆⒄?，探.索蒙特卡罗模拟方法对场论和凝聚锢淼挠τ谩?.