1,720,988 research outputs found
RAMOND SECTOR OF THE SUPERSYMMETRIC MINIMAL MODELS
No full textA Coulomb gas representation for the Ramond sectors of the N = 1 supersymmetric models is constructed. The fusion rules and the 4-point functions for the Ramond fields are calculated explicitly by this method and used to describe the Z2 odd sectors of the tricritical Ising model and of the critical Kosterlitz-Thouless XY model
FUSION RULES, 4-POINT FUNCTIONS AND DISCRETE SYMMETRIES OF N=2 SUPERCONFORMAL MODELS
No full textFusion rules, structure constants and four-point functions for all the fields of N = 2 superconformal minimal models (c ≤ 3) are derived. It is shown that the additional Zp+2 symmetries of these models are generated by specific N = 2 superfields which close the N = 2 superparafermionic algebra. General results are applied to the four- and three-generation Gepner tensor product models and the allowed Yukawa couplings are found. © 1989
Semiclassical energy levels of sine-Gordon model on a strip with Dirichlet boundary conditions
No full textWe derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schodinger equations (of Lame' type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed
Semiclassical scaling functions of sine-Gordon model
No full textWe present an analytic study of the finite size effects in sine-Gordon model, based on the semi-classical quantization of an appropriate kink background defined on a cylindrical geometry. The quasi-periodic kink is realized as an elliptic function with its real period related to the size of the system. The stability equation for the small quantum fluctuations around this classical background is of Lame type and the corresponding energy eigenvalues are selected inside the allowed bands by imposing periodic boundary conditions. We derive analytical expressions for the ground state and excited states scaling functions, which provide an explicit description of the flow between the IR and UV regimes of the model. Finally, the semiclassical form factors and two-point functions of the basic field and of the energy operator are obtained, completing the semiclassical quantization of the sine-Gordon model on the cylinder. (C) 2004 Elsevier B.V. All rights reserved.Sch Adv Int Studies, I-34100 Trieste, ItalyIst Nazl Fis Nucl, Sez Trieste, Trieste, ItalyUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazi
Semiclassical particle spectrum of double sine-Gordon model
No full textWe present new theoretical results on the spectrum of the quantum field theory of the double sine-Gordon model. This non-integrable model displays different varieties of kink excitations and bound states thereof. Their mass can be obtained by using a semiclassical expression of the matrix elements of the local fields. In certain regions of the coupling-constants space the semiclassical method provides a picture which is complementary to the one of the form factor perturbation theory, since the two techniques give information about the mass of different types of excitations. In other regions the two methods are comparable, since they describe the same kind of particles. Furthermore, the semiclassical picture is particularly suited to describe the phenomenon of false vacuum decay, and it also accounts in a natural way the presence of resonance states and the occurrence of a phase transition. (C) 2004 Elsevier B.V. All rights reserved.Scuola Int Super Studi Avanzati, I-34014 Trieste, ItalyIst Nazl Fis Nucl, Sez Trieste, Trieste, ItalyUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazi
N=2 SUPERCONFORMAL MINIMAL MODELS
No full textFusion rules, structure constants and 4-point functions for all the fields in the Neveu-Schwarz, Ramond and twisted sectors of N = 2 minimal models are presented. It is shown that the additional Zp+2 symmetries of these models are generated by specific chiral N = 2 superfields. The structure of the corresponding N = 2 superparafermionic models is discussed
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