从非同态不变的路径积分构造哈密顿量子理论
Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context
摘要：
Osterwalder和Schrader介绍了一个程序，以获得（洛伦兹）哈密顿量子理论开始从一个措施的空间（欧几里德）历史的标量量子场。在本文中，我们将这种结构扩展到更一般的理论，这些理论不涉及任何背景，时空度量（并且历史空间不允许自然的线性结构）。例子包括某些规范理论、拓扑场论和相对论引力理论。在这个意义上说，一个先验知识的Osterwalder-Schrader定理是不假定的治疗是自包含的。
英文摘要：
Osterwalder and Schrader introduced a procedure to obtain a (Lorentzian) Hamiltonian quantum theory starting from a measure on the space of (Euclidean) histories of a scalar quantum field. In this paper, we extend that construction to more general theories which do not refer to any background, space-time metric (and in which the space of histories does not admit a natural linear structure). Examples include certain gauge theories, topological field theories and relativistic gravitational theories. The treatment is self-contained in the sense that an a priori knowledge of the Osterwalder-Schrader theorem is not assumed.
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