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Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery (1994)
Journal Article
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. https://doi.org/10.1016/0550-3213%2894%2990240-2

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-dimensi... Read More about Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery.

Kink dynamics in a novel discrete sine-Gordon system. (1994)
Journal Article
Speight, J., & Ward, R. (1994). Kink dynamics in a novel discrete sine-Gordon system. Nonlinearity, 1(2), 475-484. https://doi.org/10.1088/0951-7715/7/2/009

A spatially-discrete sine-Gordon system with some novel features is described. There is a topological or Bogomol'nyi lower bound on the energy of a kink, and an explicit static kink which saturates this bound. There is no Peierls potential barrier, a... Read More about Kink dynamics in a novel discrete sine-Gordon system..

Null vectors, three point and four point functions in conformal field theory (1994)
Journal Article
Bowcock, P., & Watts, G. (1994). Null vectors, three point and four point functions in conformal field theory

We consider 3-point and 4-point correlation functions in a conformal field theory with a W-algebra symmetry. Whereas in a theory with only Virasoro symmetry the three-point functions of descendant fields are uniquely determined by the three-point fun... Read More about Null vectors, three point and four point functions in conformal field theory.

The consistency of topological expansions in field theory: “BRST anomalies” in strings and Yang-Mills (1994)
Journal Article
Mansfield, P. (1994). The consistency of topological expansions in field theory: “BRST anomalies” in strings and Yang-Mills. Nuclear Physics B, 416(1), 205-226. https://doi.org/10.1016/0550-3213%2894%2990583-5

Many field theories of physical interest have configuration spaces consisting of disconnected components. Quantum mechanical amplitudes are then expressed as sums over these components. We use the Faddeev-Popov approach to write the terms in this top... Read More about The consistency of topological expansions in field theory: “BRST anomalies” in strings and Yang-Mills.