论文标题
高温阳米尔斯理论的非扰动地面
Non-Perturbative Groundstate of High Temperature Yang-Mills Theory
论文作者
论文摘要
严重重新检查了由Gross，Pisarski，Yaffe和Weiss得出的高温下的Yang-Mills理论的有效潜力，并且有人认为，由于Matsubara Zero零模式的红外发散，<a0> = 0的电势的地面是无效的。这表明热地面座状由红外非扰动作用支配。进行晶格模拟，并观察到静态仪表中的场A0在高温下获得非零的非扰动期望值。结果是，热扰动理论与非扰动地面固定物不一致，并且无法在任何温度下对热力学量的所有贡献。还讨论了相关问题，包括尺寸降低和限制。
The effective potential of Yang-Mills theory at high temperature derived by Gross, Pisarski, Yaffe and Weiss is critically reexamined and it is argued that the groundstate of the potential at <A0>=0 is invalid, due to the infrared divergence of the Matsubara zero mode. This suggests that the thermal groundstate is dominated by infrared non-perturbative effects. Lattice simulations are carried out and the field A0 in the static gauge is observed to acquire nonzero, non-perturbative expectation values at high temperatures. A consequence is that thermal perturbation theory is inconsistent with the non-perturbative groundstate and it cannot account for all of the contributions to a thermodynamic quantity at any temperature. Related issues, including dimensional reduction and confinement, are also discussed.
