Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-16
Theor.Math.Phys.163:741-752,2010; Teor.Mat.Fiz.163:413-429,2010
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 14 pages, no figures. Presented at the 2nd Intern. Conf. "String Field Theory and Related Aspects" (Steklov Math. Insti
Scientific paper
10.1007/s11232-010-0058-7
We investigate noncommutative deformations of quantum field theories for different star products, particularly emphasizing the locality properties and the regularity of the deformed fields. Using functional analysis methods, we describe the basic structural features of the vacuum expectation values of star-modified products of fields and field commutators. As an alternative to microcausality, we introduce a notion of $\theta$-locality, where $\theta$ is the noncommutativity parameter. We also analyze the conditions for the convergence and continuity of star products and define the function algebra that is most suitable for the Moyal and Wick-Voros products. This algebra corresponds to the concept of strict deformation quantization and is a useful tool for constructing quantum field theories on a noncommutative space-time.
No associations
LandOfFree
Noncommutative deformations of quantum field theories, locality, and causality 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 Noncommutative deformations of quantum field theories, locality, and causality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative deformations of quantum field theories, locality, and causality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-218627