منابع مشابه
Perturbative Noncommutative Quantum Gravity
We study perturbative noncommutative quantum gravity by expanding the gravitational field about a fixed classical background. A calculation of the one loop gravitational self-energy graph reveals that only the non-planar graviton loops are damped by oscillating internal momentum dependent factors. The noncommutative quantum gravity perturbation theory is not renormalizable beyond one loop for m...
متن کاملNoncommutative Quantum Gravity
The possible role of gravity in a noncommutative geometry is investigated. Due to the Moyal *-product of fields in noncommutative geometry, it is necessary to complexify the metric tensor of gravity. We first consider the possibility of a complex Hermitian, nonsymmetric gμν and discuss the problems associated with such a theory. We then introduce a complex symmetric (non-Hermitian) metric, with...
متن کاملIntersecting Connes Noncommutative Geometry with Quantum Gravity
An intersection of Noncommutative Geometry and Loop Quantum Gravity is proposed. Alain Connes’ Noncommutative Geometry provides a framework in which the Standard Model of particle physics coupled to general relativity is formulated as a unified, gravitational theory. However, to this day no quantization procedure compatible with this framework is known. In this paper we consider the noncommutat...
متن کاملNoncommutative Gravity
Various approaches by the author and collaborators to define gravitational fluctuations associated with a noncommutative space are reviewed. Geometry of a noncommutative space is defined by the data (A, H,D) where A is a noncommutative involutive algebra, H is a separable Hilbert space and D a self-adjoint operator on H referred to as Dirac operator [1]. Geometry on Riemannian manifolds could b...
متن کاملQuantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of quantizing gravity. We examine to what extent noncommutative gauge theories may be regarded as gauge theories of gravity. UV/IR mixing is explained in detail and we describe its relations to renormali...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2000
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(00)01064-9