Exact expectation values of local fields in quantum sine-Gordon model

Abstract

We propose an explicit expression for vacuum expectation values of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the Massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain.

18 pages, harvmac.tex, 2 figures

Cited by in corpus (286)

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• Breathers and Raman scattering in a two-leg ladder with staggered Dzialoshinskii-Moriya interaction
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• On Painleve VI transcendents related to the Dirac operator on the hyperbolic disk
• Bosonization with a background $U(1)$ gauge field
• Vector-spin-chirality order in a dimerized frustrated spin-1/2 chain
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• Short-distance expansion of correlation functions in the charge-symmetric two-dimensional two-component plasma: Exact results
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• On the mass-coupling relation of multi-scale quantum integrable models
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• Radiative annihilation of a soliton and an antisoliton in the coupled sine-Gordon equation
• Ordered phases of XXZ-symmetric spin-1/2 zigzag ladder
• Renormalization of Hard-Core Guest Charges Immersed in Two-Dimensional Electrolyte
• Control of superexchange interactions with DC electric fields
• Boundary conditions and anomalies of conformal field theories in 1+1 dimensions
• Effects of a magnetic field on the one-dimensional spin-orbital model
• Formfactors in the half-filled Hubbard model
• Construction of exact Riemannian instanton solutions
• Equation of state in the fugacity format for the two-dimensional Coulomb gas
• Guest charges in an electrolyte: renormalized charge, long- and short-distance behavior of the electric potential and density profile
• Perturbation Theory in Angular Quantization Approach and the Expectation Values of Exponential Fields in Sin-Gordon Model
• Effects of magnetic field induced chiral-spin interactions on quasi-one-dimensional spin systems
• Massless Fermions and the Instanton Dipole Liquid in Compact QED_3
• Determining matrix elements and resonance widths from finite volume: the dangerous mu-terms
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Sine-Gordon/Coulomb Gas Soliton Correlation Functions and an Exact Evaluation of the Kosterlitz-Thouless Critical Exponent
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• Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-$\frac{1}{2}$ chain
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• Exact Results for Thermodynamics of the Classical Field Theories: Sine- and Sinh-Gordon Models
• On form factors and Macdonald polynomials
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• Quantum fluctuations and phase coherence in superconducting nanowires
• Field-induced dimer orders in quantum spin chains
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• Sine-Gordon Expectation Values of Exponential Fields With Variational Perturbation Theory
• Off-Critical Logarithmic Minimal Models
• Exact Asymptotic Behaviour of Fermion Correlation Functions in the Massive Thirring Model
• Formfactors and functional form of correlators in the XX spin chain
• Lattice Unruh effect and world-line entanglement for the XXZ chain
• Sine-Gordon Effective Potential beyond Gaussian Approximation
• On the fermion-boson correspondence for correlation functions of disorder operators
• Relaxation dynamics of integrable field theories after a global quantum quench
• Minimal Models RG flows: non-invertible symmetries & non-perturbative description
• XXZ spin chain in transverse field as a regularization of the sine-Gordon model
• Correlation functions of twist fields from Ward identities in the massive Dirac theory
• Correlation functions of disorder operators in massive ghost theories
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Vacuum expectation value of twist fields
• On the third level descendent fields in the Bullough-Dodd model and its reductions
• Ground state phases and quantum criticalities of one-dimensional Peierls model with spin-dependent sign-alternating potentials
• Form factors of descendant operators: Resonance identities in the sinh-Gordon model
• Non-equilibrium time evolution in the sine-Gordon model revisited
• Quantum simulating continuum field theories with large-spin lattice models
• Exact asymptotic behavior of correlation functions for disordered spin-1/2 XXZ chains
• Finite-time quantum quenches in the XXZ Heisenberg chain
• Form factors of descendant operators: Reduction to perturbed $M(2,2s+1)$ models
• A short note on the scaling function constant problem in the two-dimensional Ising model
• Soliton confinement in the double sine-Gordon model
• Perturbative test of exact vacuum expectation values of local fields in affine Toda theories
• Correlation function for the one-dimensional extended Hubbard model at quarter filling
• Correlation functions of descendants in the scaling Lee--Yang model
• Perturbation theory in radial quantization approach and the expectation values of exponential fields in sine-Gordon model
• Spectral determinants for twist field correlators
• Lattice local integrable regularization of the Sine-Gordon model
• Entanglement flow in the Kane-Fisher quantum impurity problem
• Sine-Gordon model at finite temperature: the method of random surfaces
• Form factors of twist fields in the lattice Dirac theory
• Quantum magnetism on small-world networks
• Asymptotics and functional form of correlators in the XX - spin chain of finite length
• Boundary form factors in the Smirnov--Fateev model with a diagonal boundary $S$ matrix
• On the magnetic perturbation of the Ising model on the sphere
• Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains
• Resonances in sinh- and sine-Gordon models and higher equations of motion in Liouville theory
• Sine-Gordon dynamics in spin transport
• More General Correlation Functions of Twist Fields From Ward Identities in the Massive Dirac Theory
• Renormalon-like factorial enhancements to power expansion/OPE in a super-renormalizable 2D $O(N)$ quartic model
• Note on four-particle form factors of operators $T_{2n}{T}_{-2n}$ in sinh-Gordon model
• Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators
• Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks
• Quantum quenches in the sinh-Gordon and Lieb-Liniger models
• Like-charge attraction in one- and two-dimensional Coulomb systems
• On the running and the UV limit of Wilsonian renormalization group flows
• Semiclassical approach to form factors in the sinh-Gordon model
• Scattering matrix for current-current deformations of the (2,2s+1) RSOS models
• Relaxation dynamics in the (double) sine-Gordon model: An open-system viewpoint
• Mixed-state form factors of $U(1)$ twist fields in the Dirac theory
• Applications of Reflection Amplitudes in Toda-type Theories