Publication:
A family of examples with quantum constraints

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/6851
ISSN: 0377-9017 (Print)
ISSN: 1573-0530 (Online)
DOI: 10.1023/A:1007389608707
Files
family_lledo_lmp_1997_ps.pdf (131.38 KB)
Publication date
1997-05
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
In Rep. Math. Phys. 35 (1995), 101, the authors describe a method for constructing directly (i.e. without using explicitly any field operator nor any concrete representation of the C*-algebra) nets of local C*-algebras associated to massless models with arbitrary helicity and that satisfy Haag–Kastler's axioms. In order to specify the sesquilinear and the symplectic form of the CAR- and CCR-algebras, respectively, a certain operator-valued function β(·) is introduced. This function is shown to be very useful in proving the covariance and causality of the net and it also codes the degenerate character of massless models with respect to massive models.
It is the intention of this Letter to point out that the massless bosonic examples with helicity bigger than 0 fit completely into the general theory that Grundling and Hurst used to describe systems with gauge degeneracy.
Description
12 pages, no figures.-- MSC1991 codes: 81T05, 47C15, 46L30, 20C35.
MR#: MR1453762 (99e:81129)
Zbl#: Zbl 0890.46049
Keywords
Quantum constraints, Massless, Algebraic Quantum Field Theory (AQFT), CCR-algebra
Bibliographic citation
Letters in Mathematical Physics, 1997, vol. 40, n. 3, p. 223-234
Collections
DM - GAMA - Artículos de Revistas