Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:hep-th/9905197 · International Journal of Modern Physics A

Bosonization of Quantum Sine–Gordon Field with Boundary

Bo-Yu Hou, Kang-Jie Shi, Yan-Shen Wang, Wen‐Li Yang

Published Apr 10, 1997• 15 citations
arXivHTMLPDF

Abstract

Boundary operators and boundary ground states in sine–Gordon model with a fixed boundary condition are studied using bosonization and q-deformed oscillators. We also obtain the form-factors of this model.
DOI
10.1142/s0217751x97001134

Related papers

Finite size effects in integrable quantum field theory: the sine-Gordon model with boundaries

Marco Bellacosa

In this thesis we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theory with boundaries, with emphasis to sine-Gordon model with Dirichlet boundary conditions. Exact calculations of the dependence of the energy spectrum on the size and on boundary conditions are presented for vacuum and many excited states.

arXiv:hep-th/0406032•Jun 3, 2004•0 citations

Boundary bound states and boundary bootstrap in the sine-Gordon model with Dirichlet boundary conditions

S Skorik, Hubert Saleur

We present a complete study of boundary bound states and related boundary S-matrices for the sine-Gordon model with Dirichlet boundary conditions. Our approach is based partly on the bootstrap procedure and partly on the explicit solution of the inhomogeneous XXZ model with boundary magnetic field and solution of the boundary Thirring model. We identify boundary bound states with new `boundary strings` in the Bethe ansatz. The boundary energy is also computed.

arXiv:hep-th/9502011•Journal of Physics A Mathematical and General•Dec 7, 1995•92 citations

A general formula for soliton form factors in the quantum sine-Gordon model

Fedor Aleksandrovich Smirnov

A general formula for soliton form factors of several local fields in the quantum sine-Gordon model is presented.

Journal of Physics A Mathematical and General•Jul 11, 1986•86 citations

The relevancy of the chiral boson to the Berezinskii–Kosterlitz–Thouless transition as a boundary effect

Hitoshi Inoue

The sine–Gordon model describes topological phase transitions in 1 + 1 systems, referred to as Berezinskii–Kosterlitz–Thouless transitions (BKTT), such as the superfluid–normal fluid, plasma–dielectric and roughening transitions. Analysing the sine–Gordon model in detail using boundary conformal field theory, we develop a new method for treating the BKTT under open boundary conditions (OBC). In particular we find that the chiral parts of the vertex operators are useful for considering the BKTT under OBC.

Journal of Statistical Mechanics Theory and Experiment•Mar 11, 2010•0 citations

The Exact Quantum Sine-Gordon Field Equation and Other Non-Perturbative Results

H. Babujian, M. Karowski, Technische Univ. Berlin (Germany). Sonderforschungsbereich 288 -Differentialgeometrie und Quantenphysik

Using the methods of the "form factor program" exact expressions of all matrix elements are obtained for several operators of the quantum sine Gordon model: all powers of the fundamental bose field, general exponentials of it, the energy momentum tensor and all higher currents. It is found that the quantum sineGordon field equation holds with an exact relation between the "bare" mass and the renormalized mass. Also a relation for the trace of the energy momentum is obtained. The eigenvalue problem for all higher conserved charges is solved. All results are compared with Feynman graph expansions and full agreement is found. PACS: 11.10.-z; 11.10.Kk; 11.55.Ds Keywords: Integrable quantum field theory, Form factors The classical sine-Gordon model is given by the wave equation 2'(t; x) + ff fi sin fi'(t; x) = 0: Since Coleman [1] found the wonderful duality between the quantum sine-Gordon and the massive Thirring model a lot of effort has been made to understand this quantum field theo...

•Jan 1, 1999•12 citations

Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions

Changrim Ahn, Marco Bellacosa, Francesco Ravanini

We investigate various excited states of sine-Gordon model on a strip with Dirichlet boundary conditions on both boundaries using a non-linear integral equation (NLIE) approach.

arXiv:hep-th/0312176•Physics Letters B•Jun 25, 2004•24 citations
The sine–Gordon model describes topological phase transitions in 1 + 1 systems, referred to as Berezinskii–Kosterlitz–Thouless transitions (BKTT), such as the superfluid–normal fluid, plasma–dielectric and roughening transitions. Analysing the sine–Gordon model in detail using boundary conformal field theory, we develop a new method for treating the BKTT under open boundary conditions (OBC). In particular we find that the chiral parts of the vertex operators are useful for considering the BKTT under OBC.
Using the methods of the "form factor program" exact expressions of all matrix elements are obtained for several operators of the quantum sine Gordon model: all powers of the fundamental bose field, general exponentials of it, the energy momentum tensor and all higher currents. It is found that the quantum sineGordon field equation holds with an exact relation between the "bare" mass and the renormalized mass. Also a relation for the trace of the energy momentum is obtained. The eigenvalue problem for all higher conserved charges is solved. All results are compared with Feynman graph expansions and full agreement is found. PACS: 11.10.-z; 11.10.Kk; 11.55.Ds Keywords: Integrable quantum field theory, Form factors The classical sine-Gordon model is given by the wave equation 2'(t; x) + ff fi sin fi'(t; x) = 0: Since Coleman [1] found the wonderful duality between the quantum sine-Gordon and the massive Thirring model a lot of effort has been made to understand this quantum field theo...