On The Baxter's Q - Operator for the XXX Spin Chain

TL;DR

This paper presents a new construction of Baxter's Q-operator for the XXX spin chain, introducing a one-parameter family satisfying Wronskian relations and generalizing Baxter operators to include non-diagonal monodromy components.

Contribution

It introduces a novel approach to constructing Baxter's Q-operator, expanding the family to include non-diagonal monodromy elements and satisfying specific functional relations.

Findings

Constructed a one-parameter family of Q-operators.

Derived Wronskian-type relations for the Q-operators.

Generalized Baxter operators to include non-diagonal monodromy.

Abstract

We discuss the construction of Baxter's Q-operator. The suggested approach leads to the one-parametric family of Q-operators, satisfying to the wronslian-type relations. Also we have found the generalization of Baxter operators, with defines the nondiagonal part of the monodromy.