Finite temperature correlation function for one-dimensional Quantum Ising model: the virial expansion

Abstract

We rewrite the exact expression for the finite temperature two-point correlation function for the magnetization as a partition function of some field theory. This removes singularities and provides a convenient form to develop a virial expansion (the expansion in powers of soliton density).

4 pages, 1 figure

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• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Time evolution of correlation functions in quantum many-body systems
• Finite Temperature Dynamical Structure Factor of Alternating Heisenberg Chains
• Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
• A systematic $1/c$-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model
• Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
• Integral equations and large-time asymptotics for finite-temperature Ising chain correlation functions
• Form factors in equilibrium and non-equilibrium mixed states of the Ising model
• Tensor Product Structure Geometry under Unitary Channels
• Mixed-state form factors of $U(1)$ twist fields in the Dirac theory
• Dynamical correlation functions in the Ising field theory