A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas

Abstract

By considering the one-particle and two-particle scattering data of the spin-1/2 Heisenberg chain at T=0 we derive a continuum limit relating the spin chain to the 1D Bose gas. Applying this limit to the quantum transfer matrix approach of the Heisenberg chain we obtain expressions for the correlation functions of the Bose gas at arbitrary temperatures.

continued in 0710.1814 math-ph

References in corpus (1)

• Dynamical correlation functions of the XXZ model at finite temperature

Cited by in corpus (6)

• Form factor expansion for thermal correlators
• Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
• Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
• Correlation functions of one-dimensional bosons at low temperature
• Correlation functions of the integrable isotropic spin-1 chain at finite temperature
• Correlation functions of an interacting spinless fermion model at finite temperature