Reduced qKZ equation and correlation functions of the \(XXZ\) model

DOI10.1007/s00220-005-1430-6zbMath1107.82006arXivhep-th/0412191OpenAlexW3103927730MaRDI QIDQ865053

N. E. Zubov

Publication date: 13 February 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0412191

zbMATH Keywords

reductioncorrelation functionXXZ modelquantum Knizhnik-Zamolodchikov equationqKZ equationYang-Baxtrer equation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) 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 (17)

Correlation functions of integrable \(O(n)\) spin chains ⋮ On scalar products and form factors by separation of variables: the antiperiodic XXZ model ⋮ On the partition function of the Sp(4) integrable vertex model ⋮ 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 ⋮ Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains ⋮ Density matrix of a finite sub-chain of the Heisenberg anti-ferromagnet ⋮ Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions ⋮ Hidden Grassmann structure in the \(XXZ\) model ⋮ Creation operators for the Fateev-Zamolodchikov spin chain ⋮ Exact results for the σ^ztwo-point function of theXXZchain at Δ = 1/2 ⋮ Correlation functions of the openXXZchain: I ⋮ Correlation functions of the integrable $SU(n)$ spin chain ⋮ Reduced qKZ equation and genuine qKZ equation ⋮ Universal R-matrix and functional relations ⋮ Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields ⋮ Fourth-neighbour two-point functions of the XXZ chain and the fermionic basis approach

Cites Work

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• First principle approach to correlation functions of spin-\(1/2\) Heisenberg chain: fourth-neighbor correlators
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation
• Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
• New formulae for solutions of quantum Knizhnik–Zamolodchikov equations on level-4
• Next Nearest-Neighbor Correlation Functions of the Spin-1/2XXZChain at Massive Region
• Third-neighbour and other four-point correlation functions of spin-1/2XXZchain
• Quantum spin chains and Riemann zeta function with odd arguments

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