Unstable Bundles in Quantum Field Theory

Details Unstable Bundles in Quantum Field Theory Unstable Bundles in Quantum Field Theory

1998-12-18

arxiv.org/abs/hep-th/9812173v1

Contemp.Math.219:1,1998

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, AMS-TeX

Scientific paper

The relation between connections on 2-dimensional manifolds and holomorphic bundles provides a new perspective on the role of classical gauge fields in quantum field theory in two, three and four dimensions. In particular we show that there is a close relation between unstable bundles and monopoles, sphalerons and instantons. Some of these classical configurations emerge as nodes of quantum vacuum states in non-confining phases of \qft which suggests a relevant role for those configurations in the mechanism of quark confinement in QCD.

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