Equivalence of Hamiltonian and Lagrangian Path Integral Quantization: Effective Gauge Theories

The equivalence of correct Hamiltonian and naive Lagrangian (Faddeev--Popov) path integral quantization (Matthews's theorem) is proven for gauge theories with arbitrary effective interaction terms. Effective gauge-boson self-interactions and effective interactions with scalar and fermion fields are considered. This result becomes extended to effective gauge theories with higher derivatives of the fields.Comment: 14 pages LaTeX, BI-TP 93/40, August 199

Harmonic Besov spaces on the ball

We initiate a detailed study of two-parameter Besov spaces on the unit ball of R-n consisting of harmonic functions whose sufficiently high-order radial derivatives lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces that are Hilbert spaces. The kernels are weighted infinite sums of zonal harmonics and natural radial fractional derivatives of the Poisson kernel. Estimates of the growth of kernels lead to characterization of integral transformations on Lebesgue classes. The transformations allow us to conclude that the order of the radial derivative is not a characteristic of a Besov space as long as it is above a certain threshold. Using kernels, we define generalized Bergman projections and characterize those that are bounded from Lebesgue classes onto Besov spaces. The projections provide integral representations for the functions in these spaces and also lead to characterizations of the functions in the spaces using partial derivatives. Several other applications follow from the integral representations such as atomic decomposition, growth at the boundary and of Fourier coefficients, inclusions among them, duality and interpolation relations, and a solution to the Gleason problem

Prevalence of Rheumatoid Arthritis and Spondyloarthritis in Turkey: A Nationwide Study.

OBJECTIVES: This study aims to estimate the prevalence of rheumatoid arthritis (RA) and spondyloarthritis (SpA) in Turkey using the same telephone questionnaire developed for screening RA and SpA in France and used in Serbia and Lithuania. MATERIAL AND METHODS: The study was performed in two steps. In step I, the French questionnaire was translated into Turkish and validated through a group of 200 patients (80 males, 120 females; mean age 44.0±13.1 years; range 19 to 75 years) followed up at the rheumatology departments of University Hospitals in Antalya and Ankara. In step II, the validated Turkish questionnaire was administered face-to-face to randomly selected 4,012 subjects (1,670 males, 2,342 females; mean age 41.5±16.8 years; range 16 to 97 years) by trained general practitioners across the country, in 25 prov- inces for case detection. The subjects who were suspected of having RA or SpA in accordance with the questionnaire were invited to the nearest university hospital for rheumatologic examination in order to confirm the diagnosis. RESULTS: In step II, a total of 25 subjects (2 males, 23 females) were diagnosed as RA. The standardized RA prevalence for the general population of Turkey was calculated as 0.56% (95% confidence interval [CI]; 0.33-0.79), 0.10% (95% CI; -0.05-0.25) for males and 0.89% (95% CI; 0.51-1.27) for females. A total of 18 subjects (3 males, 15 females) were diagnosed as SpA. The standardized SpA prevalence for the general population of Turkey was 0.46% (95% CI; 0.25-0.67), 0.17% (95% CI; -0.03-0.37) for males and 0.65% (95% CI; 0.32-0.98) for females. The prevalence of RA was highest in the Northern region (2.00%) and the prevalence of SpA was highest in the Central region (1.49%). CONCLUSION: The prevalences of RA and SpA in Turkey are close to each other and there are significant inter-regional variations in prevalences of both RA and SpA

Turkish league against rheumatism consensus report: Recommendations for management of axial spondyloarthritis

Objectives: This study aims to update 2011 Turkish League Against Rheumatism SpondyloArthritis Recommendations, and to compose a national expert opinion on management of axial spondyloArthritis under guidance of current guidelines, and implantation and dissemination of these international guidelines into our clinical practice. Materials and methods: A scientific committee of 28 experts consisting of 14 rheumatologists and 14 physical medicine and rehabilitation specialists (one of them also has an immunology PhD) was formed. The recommendations, systematic reviews, and meta-analyses including pharmacologic and non-pharmacologic treatment were scrutinized paying special attention with convenient key words. The draft of Turkish League Against Rheumatism opinion whose roof consisted of international treatment recommendations, particularly the Assessment of SpondyloArthritis International Society/European League Against Rheumatism recommendations was composed. Assessment of level of agreement with opinions by task force members was established through the Delphi technique. Voting using a numerical rating scale assessed the strength of each recommendation. Results: Panel compromised on five basic principles and 13 recommendations including pharmacological and nonpharmacological methods. All of the recommendations had adequate strength. Conclusion: Turkish League Against Rheumatism expert opinion for the management of axial spondyloArthritis was developed based on scientific evidence. These recommendations will be updated regularly in accordance with current developments. © 2018 Turkish League Against Rheumatism. All rights reserved