Charged sectors, spin and statistics in quantum field theory on curved spacetimes

Details Charged sectors, spin and statistics in quantum field theory on curved spacetimes Charged sectors, spin and statistics in quantum field theory on curved spacetimes

1999-06-22

arxiv.org/abs/math-ph/9906019v1

Rev.Math.Phys. 13 (2001) 125-198

Physics

Mathematical Physics

latex2e, 73 pages

Scientific paper

10.1142/S0129055X01000557

The first part of this paper extends the Doplicher-Haag-Roberts theory of superselection sectors to quantum field theory on arbitrary globally hyperbolic spacetimes. The statistics of a superselection sector may be defined as in flat spacetime and each charge has a conjugate charge when the spacetime possesses non-compact Cauchy surfaces. In this case, the field net and the gauge group can be constructed as in Minkowski spacetime. The second part of this paper derives spin-statistics theorems on spacetimes with appropriate symmetries. Two situations are considered: First, if the spacetime has a bifurcate Killing horizon, as is the case in the presence of black holes, then restricting the observables to the Killing horizon together with "modular covariance" for the Killing flow yields a conformally covariant quantum field theory on the circle and a conformal spin-statistics theorem for charged sectors localizable on the Killing horizon. Secondly, if the spacetime has a rotation and PT symmetry like the Schwarzschild-Kruskal black holes, "geometric modular action" of the rotational symmetry leads to a spin-statistics theorem for charged covariant sectors where the spin is defined via the SU(2)-covering of the spatial rotation group SO(3).

Affiliated with

Also associated with

No associations

Rating

Charged sectors, spin and statistics in quantum field theory on curved spacetimes 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 Charged sectors, spin and statistics in quantum field theory on curved spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Charged sectors, spin and statistics in quantum field theory on curved spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386640