On the normalization of the partition function of Bethe Ansatz systems

Abstract

In this note I revisit the calculation of partition function of simple one dimensional systems solvable by Bethe Ansatz. Particularly I show that by the precise definition and treatment of the partition function the nontrivial normalization factor proposed in a recent work to give the correct O(1) corrections to the free energy can be derived in a straightforward manner.

revtex4.1, 18 pages

Cited by in corpus (10)

• Surface free energy of the open XXZ spin-1/2 chain
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Overlaps with arbitrary two-site states in the XXZ spin chain
• Boundary TBA, trees and loops
• g-Functions and gluon scattering amplitudes at strong coupling
• Exact boundary free energy of the open XXZ chain with arbitrary boundary conditions
• Exact g-function flows from the staircase model
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• TCSA and the finite volume boundary state
• A diagrammatic approach towards the thermodynamics of integrable systems