Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-12
Commun.Math.Phys. 269 (2007) 473-492
Physics
High Energy Physics
High Energy Physics - Theory
24 pages
Scientific paper
In the framework of algebraic quantum field theory we analyze the anomalous statistics exhibited by a class of automorphisms of the observable algebra of the two-dimensional free massive Dirac field, constructed by fermionic gauge group methods. The violation of Haag duality, the topological peculiarity of a two-dimensional space-time and the fact that unitary implementers do not lie in the global field algebra account for strange behaviour of statistics, which is no longer an intrinsic property of sectors. Since automorphisms are not inner, we exploit asymptotic abelianness of intertwiners in order to construct a braiding for a suitable $C^*$-tensor subcategory of End($\mathscr{A}$). We define two inequivalent classes of path connected bi-asymptopias, selecting only those sets of nets which yield a true generalized statistics operator.
No associations
LandOfFree
Generalized Particle Statistics in Two-Dimensions: Examples from the Theory of Free Massive Dirac Field 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 Generalized Particle Statistics in Two-Dimensions: Examples from the Theory of Free Massive Dirac Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Particle Statistics in Two-Dimensions: Examples from the Theory of Free Massive Dirac Field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-372261