The Quantum Sine-Gordon Model and the Fermi-Bose Relation

スポンサーリンク

概要

• 論文の詳細を見る

• The Fermi-Bose relation is examined in detail. By the use of the Fermi-Bose relation we transform the sine-Gordon model into the massive Thirring model and investigate the massive Thirring model from the viewpoint of solid state physics where the momentum is cut off at a constant of the order of the inverse lattice constant. The energies of the soliton and of the soliton-antisoliton bound state are calculated in the weak coupling case and compared with those of Dashen, Hasslacher and Neveu; the results thus obtained agree very well with those of the above authors. It is shown that the soliton-soliton bound state, which has no classical analogue and is thus characteristic of the quantum models, appears in the attractive Fermion case. The correlation function which is connected with the central-peak problem is also calculated for the free soliton case, and the result is shown to be in good agreement with the one derived from the ideal gas approximation in the semiclassical approach. Lastly the transition to the zero mass state corresponding to the Kosterlitz Thouless transition is briefly discussed.

• 理論物理学刊行会の論文
• 1981-07-25

著者

• Takada S

  Univ. Tsukuba Ibaraki

• TAKADA Satoshi

  Institute of Physics,University of Tsukuba

• Misawa Susumu

  Kodama High School

• Takada Satoshi

  Institute For Solid States Physics University Of Tokyo : Department Of Physics College Of General Education University Of Tokyo

• TAKADA Satoshi

  Department of Physics, Tokyo University of Education, Tokyo

関連論文

• The Spin Correlations of the S=3/2 XXZ Chain
• Haldane Gap and the Spin 1 Antiferromagnetic Integrable Model
• Nonlocal Unitary Transformation and Haldane State in S=1/2 Antiferromagnetic Ladder Model
• Numerical Study on the Ground-State Phase Diagram of the S=1/2 XXZ Ladder Model
• Spin Wave Theory of the Spin 1/2 XY Model
• Critical Properties of S=1 XXZ Chain
• String Order Parameters in the Haldane Gap Phase of the Spin-1/2 Alternating Heisenberg Chain : Numerical Diagonalization and Variational Study
• Magnetic Properties and Superconductivity of the Strong Coupling Hubbard Model
• Magnetic Properties of the Strong Coupling Hubbard Model
• On the Plasma Oscillation in Superconductivity
• On Dynamics of Coupled Linear Chains
• The Kosterlitz-Thouless Transition in the Quantum Sine-Gordon Model and the Corresponding Classical Film System
• Local Interactions and Van Hove Singularities in High-T_c Superconductors
• Short-Range Order Effects and the Central Peak in the Tunneling Model
• On the Dynamics of KDP Type Ferroelectrics. I : Formulation and Acoustic Anomaly
• Renormalization Group Approach to the Hard Mode Instability
• Goldstone Mode in Charged Superconductivity:Theoretical Studies of the Carlson-Goldman Mode and Effects of the Landau Damping in the Superconductiong State
• Langevin Simulation of the Two-Dimensional Hubbard Model
• A Self-Consistent Treatment of the Kosterlitz=Thouless Transition of the Two-Dimensional Classical Sine-Gordon Model
• Impurity Pinning and Microwave Conductivity of Incommensurate Spin Density Waves
• Fragility of the Antiferromagnetic Long-Range-Order and Spin Correlation in the Two-Dimentional t-J Model
• Green's Function Theory of the Two-Dimensional Heisenberg Model : Spin Wave in Short Range Order
• Monte Carlo Simulation for the In-Plane Susceptibility fo 1D Spin 1/2 and 1 XY Model
• Critical Properties of S=1/2 XXZ Chain
• Nonlocal Unitary Transformations on S=1 Antiferromagnetic Spin Chains
• Central Park and Thermal Diffusion Mode near Structural Phase Transition : Hydrodynamical Approach
• The Quantum Sine-Gordon Model and the Fermi-Bose Relation
• A New Phase of the S=1 Bilinear-Biquadratic Chain : a Trimerized State
• Nonlocal Unitary Transformation and String Order in S=1/2 Heisenberg Chain with Bond Alternation
• Theory of Sound Wave and Phason in a Quasi One-Dimensional Incommensurate CDW System I. : Long-Range Coulnmb Effect
• Properties of Bipolaron System
• On the Electrical Resistivity of Antiferromagnetic Metals at Low Temperatures
• Collective Coordinate Approach to Statistical Mechanics of Soliton Systems.II.Non-Canonical Method
• Superconductivity in a Molecular Field. I
• Fluctuation Conductivity in One-Dimensional Incommensurate Peierls System
• Unified Description of the Mid Gap States in Inhomogeneous Superconductors
• A Path-Integral Approach to the X-Y Model in One- and Two-Dimenstions : Dynamics and Quantum Effects at Low Temperatures
• Long-Range Orders in Ground States and Collective Modes in One- and Two-Dimensional Models

もっと見る 閉じる

スポンサーリンク