标题： 有限温度格点规范理论与动力学费米子的有效作用量 显示英文标题

标题： An Effective Action for Finite Temperature Lattice Gauge Theories with Dynamical Fermions

摘要： 动态费米子通过费米子行列式产生一个规范不变的有效作用量。 原则上，这个有效作用量可以添加到通常的规范作用量中，在模拟中重现闭合费米子环的效果。 使用有限温度的格点微扰理论，我们计算了阶梯费米子的空间和时间平面耦合的一环费米子修正，以及主导的$Z_N$对称性破缺耦合。 A. Hasenfratz 和 T. DeGrand 表明，对于动态阶梯费米子，$\beta_c$可以通过公式$\beta_c = \beta^{\rm pure}_c - \Delta\beta_F$准确估计，其中$\Delta\beta_F$是零温下由费米子引起的位移。 数值和分析结果表明，A. Hasenfratz 和 T. DeGrand 的零温计算的有限温度修正对于$\kappa = {1\over 2m_F}$的小值来说很小，但对于$\kappa$的中间值则变得显著。 这些有限温度修正的影响是破坏 Hasenfratz-DeGrand 计算与蒙特卡洛数据之间的吻合。 然而我们认为，在低温下，有限温度修正在非微扰意义上被抑制，从而解决了这种表面上的不一致。 $Z_N$对称性破缺耦合是小的；我们认为它改变了相变的阶数，而对$\beta$的临界值影响很小。 显示英文摘要

摘要： Dynamical fermions induce via the fermion determinant a gauge-invariant effective action. In principle, this effective action can be added to the usual gauge action in simulations, reproducing the effects of closed fermion loops. Using lattice perturbation theory at finite temperature, we compute for staggered fermions the one-loop fermionic corrections to the spatial and temporal plaquette couplings as well as the leading $Z_N$ symmetry breaking coupling. A. Hasenfratz and T. DeGrand have shown that $\beta_c$ for dynamical staggered fermions can be accurately estimated by the formula $\beta_c = \beta^{\rm pure}_c - \Delta\beta_F$ where $\Delta\beta_F$ is the shift induced by the fermions at zero temperature. Numerical and analytical results indicate that the finite temperature corrections to the zero-temperature calculation of A. Hasenfratz and T. DeGrand are small for small values of $\kappa = {1\over 2m_F}$, but become significant for intermediate values of $\kappa$. The effect of these finite temperature corrections is to ruin the agreement of the Hasenfratz-DeGrand calculation with Monte Carlo data. We argue, however, that the finite temperature corrections are suppressed nonperturbatively at low temperatures, resolving this apparent disagreement. The $Z_N$ symmetry breaking coupling is small; we argue that it changes the order of the transition while having little effect on the critical value of $\beta$.