Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields

Details Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields

2006-04-27

arxiv.org/abs/math-ph/0604069v3

Commun.Math.Phys.271:223-246,2007

Physics

Mathematical Physics

27 pages, v3: result improved by eliminating redundant assumption

Scientific paper

10.1007/s00220-006-0182-2

The superselection sectors of two classes of scalar bilocal quantum fields in D>=4 dimensions are explicitly determined by working out the constraints imposed by unitarity. The resulting classification in terms of the dual of the respective gauge groups U(N) and O(N) confirms the expectations based on general results obtained in the framework of local nets in algebraic quantum field theory, but the approach using standard Lie algebra methods rather than abstract duality theory is complementary. The result indicates that one does not lose interesting models if one postulates the absence of scalar fields of dimension D-2 in models with global conformal invariance. Another remarkable outcome is the observation that, with an appropriate choice of the Hamiltonian, a Lie algebra embedded into the associative algebra of observables completely fixes the representation theory.

Affiliated with

Also associated with

No associations

Rating

Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields 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 Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21121