Lattice local integrable regularization of the Sine-Gordon model
Copyright policy )Lattice local integrable regularization of the Sine-Gordon model
We study the local lattice integrable regularization of the Sine-Gordon model written down in terms of the lattice Bose-operators. We show that the local spin Hamiltonian obtained from the six-vertex model with alternating inhomogeneities in fact leads to the Sine-Gordon model in the low-energy limit. We show that the Bethe Ansatz results for this model lead to the correct general relations for different critical exponents of the coupling constant.
LaTex, 8 pages
- Institute for Nuclear Research Russian Federation
- National Academy of Sciences of Ukraine Ukraine
- Cambridge University Press United States
- Cambridge University Press United Kingdom
- Institute for Nuclear Research Ukraine
High Energy Physics - Theory, Special quantum systems, such as solvable systems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Physics, QC1-999, NLS equations (nonlinear Schrödinger equations), FOS: Physical sciences, Mathematical Physics (math-ph), Bethe-Salpeter and other integral equations arising in quantum theory, Critical exponents in context of PDEs, High Energy Physics - Theory (hep-th), Bosonic systems in quantum theory, Lattice dynamics; integrable lattice equations, Exactly Solvable and Integrable Systems (nlin.SI), Spinor and twistor methods applied to problems in quantum theory, Vertex operators; vertex operator algebras and related structures, Mathematical Physics
High Energy Physics - Theory, Special quantum systems, such as solvable systems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Physics, QC1-999, NLS equations (nonlinear Schrödinger equations), FOS: Physical sciences, Mathematical Physics (math-ph), Bethe-Salpeter and other integral equations arising in quantum theory, Critical exponents in context of PDEs, High Energy Physics - Theory (hep-th), Bosonic systems in quantum theory, Lattice dynamics; integrable lattice equations, Exactly Solvable and Integrable Systems (nlin.SI), Spinor and twistor methods applied to problems in quantum theory, Vertex operators; vertex operator algebras and related structures, Mathematical Physics
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