Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation

DOI10.1016/S0550-3213(03)00153-6zbMath1037.82007arXivhep-th/0209246OpenAlexW2073356022MaRDI QIDQ1867991

Yanyan Li

Publication date: 23 April 2003

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0209246

zbMATH Keywords

ferromagnetic-string formation probabilityhomogeneous limitone-dimensional \(XXX\) spin-1/2 Heisenberg antiferromagnet

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (18)

Emptiness formation in polytropic quantum liquids ⋮ Reduced qKZ equation and correlation functions of the \(XXZ\) model ⋮ First principle approach to correlation functions of spin-\(1/2\) Heisenberg chain: fourth-neighbor correlators ⋮ Correlation functions of the spin-1/2 antiferromagnetic Heisenberg chain: exact calculation via the generating function ⋮ Dynamical correlation functions of the \(XXZ\) spin-1/2 chain ⋮ Density matrix of a finite sub-chain of the Heisenberg anti-ferromagnet ⋮ Excited state correlations of the finite Heisenberg chain ⋮ Adjacent spin operator dynamical structure factor of theS= 1/2 Heisenberg chain ⋮ Current operators in integrable models: a review ⋮ Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions ⋮ Emptiness formation probability in the domain-wall six-vertex model ⋮ Creation operators for the Fateev-Zamolodchikov spin chain ⋮ Integral formulas and antisymmetrization relations for the six-vertex model ⋮ The finite temperature density matrix and two-point correlations in the antiferromagneticXXZchain ⋮ A recursion formula for the correlation functions of an inhomogeneous XXX model ⋮ Asymptotic behavior of the emptiness formation probability in the critical phase of \(XXZ\) spin chain ⋮ The \(XX\) and Ising limits in integral formulas for finite-temperature correlation functions of the \(XXZ\) chain ⋮ Correlation functions of the integrable $SU(n)$ spin chain

Cites Work

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• Current algebras and Wess-Zumino model in two dimensions
• Quantum affine algebras and holonomic difference equations
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• Correlation function of the spin-\(\frac 12 XXX\) antiferromagnet
• DYNAMICAL SYMMETRIES OF MASSIVE INTEGRABLE MODELS 1: FORM FACTOR BOOTSTRAP EQUATIONS AS A SPECIAL CASE OF DEFORMED KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
• Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
• Quantum correlations and number theory
• Quantum spin chains and Riemann zeta function with odd arguments

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