Journal article
QCD INSTANTONS AND 2D SURFACES
Modern physics letters A, Vol.7(11), pp.1001-1008
04/10/1992
DOI: 10.1142/S0217732392000896
Abstract
Some time ago, Atiyah showed that there exists a natural identification between the k-instantons of a Yang-Mills theory with gauge group G and the holomorphic maps from CP1 to ΩG. Since then, Nair and Mazur have associated the Θ vacua structure in QCD with self-intersecting Riemann surfaces immersed in four dimensions. From here they concluded that these 2D surfaces correspond to the non-perturbative phase of QCD and carry the topological information of the Θ vacua. In this paper we would like to elaborate on this point by making use of Atiyah’s identification. We will argue that an effective description of QCD may be more like a WZW model coupled to the induced metric of an immersion of a 2D Riemann surface in R4. We make some further comments on the relationship between the coadjoint orbits of the Kac-Moody group on G and instantons with axial symmetry and monopole charge.
Details
- Title: Subtitle
- QCD INSTANTONS AND 2D SURFACES
- Creators
- V.G.J Rodgers - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Modern physics letters A, Vol.7(11), pp.1001-1008
- DOI
- 10.1142/S0217732392000896
- ISSN
- 0217-7323
- eISSN
- 1793-6632
- Language
- English
- Date published
- 04/10/1992
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199941602771
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