Detecting Dual Superconductivity in the Ground State of Gauge Theory

Abstract

We explicitly construct a monopole creation operator: its vacuum expectation value is an order parameter for dual superconductivity, in that, if different from zero, it signals a spontaneous breaking of the $U(1)$ symmetry corresponding to monopole charge conservation. This operator is tested by numerical simulations in compact $U(1)$ gauge theory. Our construction provides a general recipe for detection of the condensation of any topological soliton. In particular our operator can be used to detect dual superconductivity of the QCD vacuum.

10 pages, 3 figures avalaible on request. REVTEX

References in corpus (1)

• London relation and fluxoid quantization for monopole currents in U(1) lattice gauge theory

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