有限温度下二维量子电动力学。热场玻色化方法
Quantum Electrodynamics in Two-Dimensions at Finite Temperature. Thermofield Bosonization Approach
摘要：
利用热场动力学方法分析了有限温度下的Schwinger模型。将Lowenstein和Swieca的算子解推广到有限温度下的热场玻色化方法。讨论了在规范不变热态的Hilbert子空间中观测量的物理力学系综平均的一般性质。屏蔽了费米温度场的裸电荷和手征，产生了无限多个相互正交的热基态。裸电荷和手性选择规则在有限温度下的一个结果是，有无数的热真空态具有相同的总电荷和手性的加倍系统。有限温度下的费米子电荷和手征性选择规则意味着存在一个热θ真空态族，其参数与零温度情况下的参数相同。我们计算的质量算符的热θ-真空期望值，并表明，任何温度下的手征凝聚体的解析表达式是很容易得到的这种方法，以及相应的高温行为。
英文摘要：
The Schwinger model at finite temperature is analyzed using the Thermofield Dynamics formalism. The operator solution due to Lowenstein and Swieca is generalized to the case of finite temperature within the thermofield bosonization approach. The general properties of the statistical-mechanical ensemble averages of observables in the Hilbert subspace of gauge invariant thermal states are discussed. The bare charge and chirality of the Fermi thermofields are screened, giving rise to an infinite number of mutually orthogonal thermal ground states. One consequence of the bare charge and chirality selection rule at finite temperature is that there are innumerably many thermal vacuum states with the same total charge and chirality of the doubled system. The fermion charge and chirality selection rules at finite temperature turn out to imply the existence of a family of thermal theta vacua states parametrized with the same number of parameters as in zero temperature case. We compute the thermal theta-vacuum expectation value of the mass operator and show that the analytic expression of the chiral condensate for any temperature is easily obtained within this approach, as well as, the corresponding high-temperature behavior.
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