简并Moyal空间（-时间）上量子场论的Wick旋转
Wick rotation for quantum field theories on degenerate Moyal space(-time)
摘要：
本文研究了在时间仍然是可交换的情况下，欧氏签名的平坦非对易空间（-时间）上的量子场论与洛伦兹签名的量子场论之间的联系。利用量子场论的代数框架和与Moyal空间结构相容的对称群的解析延拓，给出了满足时间零点条件的欧氏空间上的场论与Moyal Minkowski空间上的量子场论之间的一般对应（“Wick旋转”）.然后表明，场论转移到Moyal空间（-时间）的Rieffel变形和弯曲卷积适合于这个框架，和威克旋转和变形的过程交换。
英文摘要：
In this paper the connection between quantum field theories on flat noncommutative space(-times) in Euclidean and Lorentzian signature is studied for the case that time is still commutative. By making use of the algebraic framework of quantum field theory and an analytic continuation of the symmetry groups which are compatible with the structure of Moyal space, a general correspondence between field theories on Euclidean space satisfying a time zero condition and quantum field theories on Moyal Minkowski space is presented ("Wick rotation"). It is then shown that field theories transferred to Moyal space(-time) by Rieffel deformation and warped convolution fit into this framework, and that the processes of Wick rotation and deformation commute.
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