Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields

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.Comment: 27 pages, v3: result improved by eliminating redundant assumptio

New methods in conformal partial wave analysis

We report on progress concerning the partial wave analysis of higher correlation functions in conformal quantum field theory.Comment: 16 page

Jacobi Identity for Vertex Algebras in Higher Dimensions

Vertex algebras in higher dimensions provide an algebraic framework for investigating axiomatic quantum field theory with global conformal invariance. We develop further the theory of such vertex algebras by introducing formal calculus techniques and investigating the notion of polylocal fields. We derive a Jacobi identity which together with the vacuum axiom can be taken as an equivalent definition of vertex algebra.Comment: 35 pages, references adde

ANTIBODIES DIRECTED TO INDIVIDUAL HISTONES IN JUVENILE CHRONIC ARTHRITIS. ASSOCIATION WITH UVEITIS

The trials for identification of the specific target antigen for antinuclear antibodies (ANA) in juvenile chronic arthritis (JCA) revealed that a significant number of patients produce antibodies directed to individual histories and histone peptides. Fifty JCA patients, 58 healthy children and 58 children with autoimmune and rheumatologic disorders were studied for a presence of IgG- and IgM-antibodies against histone 1, histone 2 and histone 3 measured by ELISA. The levels of IgGand IgM-antibodies directed to histone 1, 2 and 3 were elevated in JCA as compared to the healthy controls. IgG-antibodies to histone 2 and IgM-antibodies to histone 3 also were elevated in comparison with the disease controls. IgG- and IgM-antibodies against histone 1 were found to be positive in 30 % and 26 % of JCA patients, respectively, in significant association with ANA (p = 0,038 and p = 0,03, respectively) and uveitis (p = 0,02 and p = 0,016, respectively). The same prevalence of IgG- and IgM-antibodies to histone 2 was established but only the IgG-isotype showed significant association with uveitis (p = 0,018). Anti-histone 3 IgG- and IgM-antibodies were found in 34 % and 27 % of JCA patients, respectively. IgM-antibodies to histone 3 were proved to be significantly associated with uveitis (p - 0,009). It was concluded that antibodies to histone 1, histone 2, and histone 3 represented a common serological feature of JCA. Their presence was related to the manifestation of chronic anterior uveitis, associated with JCA