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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Professor Emeritus Paul Mansfield

Mansfield, P. (1994). Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery. Nuclear Physics B 418(1-2): 113-130.

Author(s) from Durham


We solve Schrödinger's equation for the ground-state of four-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading-order approximation are reduced to a calculation in two-dimensional Yang-Mills theory which is known to confine. Consequently the Wilson loop in the four-dimensional theory obeys an area law to leading order and the coupling becomes infinite as the mass scale goes to zero.