论文标题
$ {\ rm su}(2)$晶格理论的连贯状态的期望值
Expectation values of Coherent States for ${\rm SU}(2)$ Lattice Gauge Theories
论文作者
论文摘要
本文调查了通用量化理论的半经典仪表场理论相干状态的特性。例如,对于晶格规格的规范公式,这些状态被标记为经典相空间中的一个点,并构造,使规范操作员的期望值在所述相空间点上峰值达到峰值。对于非亚伯量规组SU(2)的情况,我们将明确计算一般多项式的期望值,包括一阶量子校正。这允许提出有关任何给定半经典系统的量子波动的更精确的问题。
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.