On the normalization of the partition function of Bethe Ansatz systems
F. Woynarovich
TL;DR
This paper revisits the calculation of the partition function for Bethe Ansatz solvable systems, providing a straightforward derivation of the normalization factor crucial for accurate free energy corrections.
Contribution
It offers a clear derivation of the normalization factor for the partition function in Bethe Ansatz systems, clarifying previous ambiguities.
Findings
Correct normalization factor derived for Bethe Ansatz systems
Simplified approach to calculating free energy corrections
Clarification of previous methods in partition function normalization
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.
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