1999/10/18 by V. V. Mkhitaryan, V V Mkhitaryan, R. H. Poghossian +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantization #Cosmology and Gravitation Theories #Exponential decay #Exponential function #Noncommutative and Quantum Gravity Theories #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Quantization (signal processing) #Thirring model #WKB approximation #cond-mat.str-el #hep-th
paper · pdf · doi:10.1088/0305-4470/33/16/320
published in Journal of Physics A Mathematical and General 33(16), 3335-3346 (Institute of Physics) · 16 pages, no figures, LaTex
arxiv created 1999/10/18 · openalex publication_date 2000/04/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A perturbation theory for Massive Thirring Model (MTM) in radial quantization approach is developed. Investigation of the twisted sector in this theory allows us to calculate the vacuum expectation values of exponential fields exp iaphi (0) of the sine-Gordon theory in first order over Massive Thirring Models coupling constant. It appears that the apparent difficulty in radial quantization of massive theories, namely the explicite ''time'' dependence of the Hamiltonian, may be successfully overcome. The result we have obtained agrees with the exact formula conjectured by Lukyanov and Zamolodchikov and coincides with the analogous calculations recently carried out in dual angular quantization approach by one of the authors.