非对易时空中量子规范理论的泛函积分方法
Fubctional integral approach to quantum gauge theories on a noncommutative space-time
摘要：
基于Doplicher-Fredenham-Roberts群上的傅立叶变换，我们提出了一种量子规范场理论在非对易时空中作用量的构造方法.这种方法导致作用量的泛函积分表示，这反过来又导致将经典时空上的概率测度空间视为时空的非对易版本。这种方法允许对作用中的规范场项进行非常自然的处理。
英文摘要：
We propose a construction of actions of a quantum gauge field theory on a noncommutative space-time, based on a Fourier transform on the Doplicher-Fredenhagen-Roberts group. This approach leads to a functional integral representation of the action, which in turn leads to considering the space of probability measures on the classical space-time as a noncommutative version of the space-time. This approach allows a very natural treatment of gauge fields terms in the action.
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