Path integral approach to noncommutative space–times
نویسندگان
چکیده
منابع مشابه
Path Integral Approach to Noncommutative Spacetimes
We propose a path integral formulation of noncommutative generalizations of spacetime manifold in even dimensions, characterized by a length scale λP . The commutative case is obtained in the limit λP = 0. PACS numbers: 04.60.Gw, 04.60.-m, 02.40-k. ∗E-mail: [email protected]
متن کاملNoncommutative Harmonic Oscillator at Finite Temperature: A Path Integral Approach
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...
متن کاملPath Integral Formulation of Noncommutative Quantum Mechanics
We propose a phase-space path integral formulation of noncommutative quantum mechanics, and prove its equivalence to the operatorial formulation. As an illustration, the partition function of a noncommutative two-dimensional harmonic oscillator is calculated. Noncommutative quantum mechanics represents a natural extension of usual quantum mechanics, in which one allows nonvanishing commutators ...
متن کاملPath 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...
متن کاملWaves on Noncommutative Spacetimes
Waves on “commutative” spacetimes like Rd are elements of the commutative algebra C0(Rd) of functions on Rd. When C0(Rd) is deformed to a noncommutative algebra Aθ(R) with deformation parameter θ (A0(R) = C0(Rd)), waves being its elements, are no longer complex-valued functions on Rd. Rules for their interpretation, such as measurement of their intensity, and energy, thus need to be stated. We ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1998
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532409