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

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

2002-03-07

arxiv.org/abs/hep-th/0203063v1

Phys.Lett. B536 (2002) 169-176

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex

Scientific paper

10.1016/S0370-2693(02)01805-1

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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