Path integral quantisation of finite noncommutative geometries
نویسندگان
چکیده
منابع مشابه
Path Integral Quantisation of Finite Noncommutative Geometries
We present a path integral formalism for quantising the spectral action of noncommutative geometry, based on the principle of summing over all Dirac operators. The approach is demonstrated on two simple finite noncommutative geometries. On the first, the graviton is described by a Higgs field, and on the second, it is described by a gauge field. We start with the partition function, and calcula...
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Recently, there has been an immense amount of challenge devoted to the subject of noncommutative space-time. Although, the idea of noncommutating space-time coordinates is an old proposal [1], the recent discoveries in string/M theories were the main source of renewed interests in the subject [2]. In particular, much work is dedicated to study the noncommutative version of the quantum field the...
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The propagator is calculated on a noncommutative version of the flat plane and the Lobachevsky plane with and without an extra (euclidean) time parameter. In agreement with the general idea of noncommutative geometry it is found that the limit when the two ‘points’ coincide is finite and diverges only when the geometry becomes commutative. The flat 4-dimensional case is also considered. This is...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2002
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(01)00064-x