${\rm SU}(2)$格点规范理论相干态的期望值
Expectation values of Coherent States for ${\rm SU}(2)$ Lattice Gauge Theories
摘要：
本文研究了一般量子规范理论中半经典规范场相干态的性质。有用的，例如，对于格点规范理论的正则公式，这些状态由经典相空间中的点标记，并且被构造为使得正则算子的期望值在所述相空间点上尖锐地达到峰值。对于非阿贝尔规范群SU（2），我们将显式地计算包含一阶量子修正的一般多项式的期望值。这使得我们可以对任何给定的半经典系统的量子涨落提出更精确的问题。
英文摘要：
This article investigates properties of semiclassical Gauge Field Theory Coherent States for general quantum gauge theories. Useful, e.g., for the canonical formulation of Lattice Gauge Theories these states are labelled by a point in the classical phase space and constructed such that the expectation values of the canonical operators are sharply peaked on said phase space point. For the case of the non-abelian gauge group SU(2), we will explicitly compute the expectation value of general polynomials including the first order quantum corrections. This allows asking more precise questions about the quantum fluctuations of any given semiclassical system.
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