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On the fermion-boson correspondence for correlation functions of disorder operators

G. Delfino·P. Grinza·G. Mussardo
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Abstract

When a quantum field theory possesses topological excitations in a phase with spontaneously broken symmetry, these are created by operators which are non-local with respect to the order parameter. Due to non-locality, such disorder operators have non-trivial correlation functions even in free massive theories. In two dimensions, these correlators can be expressed exactly in terms of solutions of non-linear differential equations. The correlation functions of the one-parameter family of non-local operators in the free charged bosonic and fermionic models are the inverse of each other. We point out a simple derivation of this correspondence within the form factor approach

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G. Delfino, P. Grinza, G. Mussardo. 2002-03-07. On the fermion-boson correspondence for correlation functions of disorder operators. https://doi.org/10.1016/s0370-2693(02)01805-1

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