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
On the fermion-boson correspondence for correlation functions of disorder operators / Delfino, Gesualdo; P., Grinza; Mussardo, Giuseppe. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 536:1-2(2002), pp. 169-176. [10.1016/S0370-2693(02)01805-1]
On the fermion-boson correspondence for correlation functions of disorder operators
Delfino, Gesualdo;Mussardo, Giuseppe
2002-01-01
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 approachFile | Dimensione | Formato | |
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