Perturbative Noncommutative Quantum Gravity
نویسنده
چکیده
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 matter-free gravity and all loops for matter interactions. Comments are made about the nonlocal gravitational interactions produced by the noncommutative spacetime geometry.
منابع مشابه
Noncommutative Einstein-AdS Gravity in three Dimensions
We present a Lorentzian version of three-dimensional noncommutative Einstein-AdS gravity by making use of the Chern-Simons formulation of pure gravity in 2+1 dimensions. The deformed action contains a real, symmetric metric and a real, antisymmetric tensor that vanishes in the commutative limit. These fields are coupled to two abelian gauge fields. We find that this theory of gravity is invaria...
متن کاملGravitational Anomalies in Noncommutative Field Theory
Gravitational axial and chiral anomalies in a noncommutative space are examined through the explicit perturbative computation of one-loop diagrams in various dimensions. The analysis depend on how gravity is coupled to noncommutative matter fields. DelbourgoSalam computation of the gravitational axial anomaly contribution to the pion decay into two photons, is studied in detail in this context....
متن کاملThe Interface of Noncommutative Geometry and Physics
As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent years. The Standard Model of fundamental interactions, with its central role for the Dirac operator, led to several formulations culminating in the concept of a real spectral tri...
متن کاملNoncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in 2+1 Quantum Gravity
We show that the ⋆-product for U(su2), group Fourier transform and effective action arising in [1] in an effective theory for the integer spin Ponzano-Regge quantum gravity model are compatible with the noncommutative bicovariant differential calculus, quantum group Fourier transform and noncommutative scaler field theory previously proposed for 2+1 Euclidean quantum gravity using quantum group...
متن کاملar X iv : h ep - t h / 06 05 06 9 v 2 2 7 M ay 2 00 7 Extended 2 d generalized dilaton gravity theories
We show that an anomaly-free description of matter in (1+1) dimensions requires a correction of the 2d relativity principle, which is connected to a noncommutativity of 2d Minkowski space that introduces a 2d Planck length. Then, in order to dynamically describe this noncommutative structure of the tangent space, we propose to extend the usual 2d generalized dilaton gravity models by a non-stan...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000