Exact form factors in integrable quantum field theories: the sine-Gordon model (II)
arXiv:hep-th/0105178 · doi:10.1016/S0550-3213(01)00551-X
Abstract
A general model independent approach using the `off-shell Bethe Ansatz' is presented to obtain an integral representation of generalized form factors. The general techniques are applied to the quantum sine-Gordon model alias the massive Thirring model. Exact expressions of all matrix elements are obtained for several local operators. In particular soliton form factors of charge-less operators as for example all higher currents are investigated. It turns out that the various local operators correspond to specific scalar functions called p-functions. The identification of the local operators is performed. In particular the exact results are checked with Feynman graph expansion and full agreement is found. Furthermore all eigenvalues of the infinitely many conserved charges are calculated and the results agree with what is expected from the classical case. Within the frame work of integrable quantum field theories a general model independent `crossing' formula is derived. Furthermore the `bound state intertwiners' are introduced and the bound state form factors are investigated. The general results are again applied to the sine-Gordon model. The integrations are performed and in particular for the lowest breathers a simple formula for generalized form factors is obtained.
LaTeX, 53 pages, Corrected typos
Cited by in corpus (63)
- Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
- Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins
- Construction of Quantum Field Theories with Factorizing S-Matrices
- Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration
- Towards the Construction of Wightman Functions of Integrable Quantum Field Theories
- Low temperature correlation functions in integrable models: Derivation of the large distance and time asymptotics from the form factor expansion
- Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
- Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
- Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
- Sine-Gordon breather form factors and quantum field equations
- Sine-Gordon form factors in finite volume
- Worldsheet Form Factors in AdS/CFT
- The Sine-Gordon model revisited I
- Exact form factors in integrable quantum field theories: the scaling Z(N)-Ising model
- On Form Factors in nested Bethe Ansatz systems
- Probing the bond order wave phase transitions of the ionic Hubbard model by superlattice modulation spectroscopy
- From the sine-Gordon field theory to the Kardar-Parisi-Zhang growth equation
- Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory
- The Form Factor Program: a Review and New Results - the Nested SU(N) Off-Shell Bethe Ansatz
- Exact form factors of the SU(N) Gross-Neveu model and 1/N expansion
- Exact form factors for the scaling Z{N}-Ising and the affine A{N-1}-Toda quantum field theories
- The nested SU(N) off-shell Bethe ansatz and exact form factors
- On the form factors of local operators in the lattice sine-Gordon model
- Diagonal multi-soliton matrix elements in finite volume
- Sine-Gordon multi-soliton form factors in finite volume
- Multiparticle Form Factors of the Principal Chiral Model At Large N
- Summing Planar Diagrams by an Integrable Bootstrap II
- Sine-Gordon Model - Renormalization Group Solutions and Applications
- Summing Planar Diagrams by an Integrable Bootstrap
- Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
- Universal diffusive decay of correlations in gapped one-dimensional systems
- Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
- Form factors of exponential fields for two-parametric family of integrable models
- Dynamical response functions in the quantum Ising chain with a boundary
- Form factors from free fermionic Fock fields, the Federbush model
- Correlation Functions of the SU(infinity) Principal Chiral Model
- Breathers and Raman scattering in a two-leg ladder with staggered Dzialoshinskii-Moriya interaction
- Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
- Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model
- The "Bootstrap Program" for Integrable Quantum Field Theories in 1+1 Dim
- Free field representation and form factors of the chiral Gross-Neveu model
- Moving Kinks and Their Wave Packets
- Probing Strong Correlations with Light Scattering: the Example of the Quantum Ising model
- A study of integrable form factors in massless relativistic AdS_3
- (2+1)-Dimensional Yang-Mills Theory and Form Factor Perturbation Theory
- Free field representation of the ZF algebra of the SU(N)xSU(N) PCF model
- Exact Asymptotic Behaviour of Fermion Correlation Functions in the Massive Thirring Model
- Quantum energy inequalities in integrable models with several particle species and bound states
- On the finite volume expectation values of local operators in the sine-Gordon model
- Multipoint Green's functions in 1+1 dimensional integrable quantum field theories
- Form factors in the massless coset models su(2)_{k+1} \otimes su(2)_k /su(2)_{2k+1} - Part I
- Cutting the cylinder into squares: The square form factor
- A Model with Propagating Spinons beyond One Dimension
- Towards an explicit construction of local observables in integrable quantum field theories
- Kink Form Factors
- On convergence of form factor expansions in the infinite volume quantum Sinh-Gordon model in 1+1 dimensions
- Form factors in the massless coset models su(2)_k+1 \otimes su(2)_k /su(2)_2k+1 - Part II
- Exact mapping from the -dimensional Skyrme model to the -dimensional sine-Gordon theory and some applications
- Form factors in the SS model and its RSOS restrictions
- Removing Tadpoles in a Soliton Sector
- Asymptotic factorization of n-particle SU(N) form factors
- A study of integrable form factors in massless relativistic
- Chiral Limit of 2d QCD Revisited with Lightcone Conformal Truncation