Lattice Coulomb hamiltonian and static color-Coulomb field

被引:79
作者
Zwanziger, D
机构
[1] Physics Department, New York University, New York
基金
美国国家科学基金会;
关键词
Coulomb-gauge hamiltonian; QCD hamiltonian; lattice gauge theory; QCD; quark potential;
D O I
10.1016/S0550-3213(96)00566-4
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of Wilson's Euclidean lattice gauge theory, wherein the lattice form of Gauss's law is satisfied identically. The restriction to a fundamental modular region (no Gribov copies) is implemented in an effective hamiltonian by the addition of a ''horizon function'' G to the lattice Coulomb-gauge hamiltonian. Its coefficient gamma(0) is a thermodynamic parameter that ultimately sets the scale for hadronic mass, and which is related to the bare coupling constant g(0) by a ''horizon condition''. This condition determines the low momentum behavior of the (ghost) propagator that transmits the instantaneous longitudinal color-electric field, and thereby provides for a confinement-like feature in leading order in a new weak-coupling expansion.
引用
收藏
页码:185 / 240
页数:56
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