Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-07-06
Phys.Rev.D80:036008,2009
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 0 figures
Scientific paper
10.1103/PhysRevD.80.036008
In this paper, we initiate the study of finite temperature quantum field theories (QFT's) on the Moyal plane. Such theories violate causality which influences the properties of these theories. In particular, causality influences the fluctuation-dissipation theorem: as we show, a disturbance in a space-time region $M_1$ creates a response in a space-time region $M_2$ space-like with respect to $M_1$ ($M_1\times M_2$). The relativistic Kubo formula with and without noncommutativity is discussed in detail, and the modified properties of relaxation time and the dependence of mean square fluctuations on time are derived. In particular, the Sinha-Sorkin result \cite{sorkin-sinha} on the logarithmic time dependence of the mean square fluctuations is discussed in our context. We derive an exact formula for the noncommutative susceptibility in terms of the susceptibility for the corresponding commutative case. It shows that noncommutative corrections in the four-momentum space have remarkable periodicity properties as a function of the four-momentum $k$. They have direction dependence as well and vanish for certain directions of the spatial momentum. These are striking observable signals for noncommutativity. The Lehmann representation is also generalized to any value of the noncommutativity parameter $\theta^{\mu\nu}$ and finite temperatures.
Akofor Earnest
Balachandran Aiyalam P.
No associations
LandOfFree
Finite Temperature Field Theory on the Moyal Plane does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Finite Temperature Field Theory on the Moyal Plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Temperature Field Theory on the Moyal Plane will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-27093