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Phase Transitions, Goldstone Bosons and Topological Superselection Rules

  • Conference paper
Current Problems in Elementary Particle and Mathematical Physics

Part of the book series: Few-Body Systems ((FEWBODY,volume 15/1976))

Abstract

A warning and a reflection: The material I propose to cover in these four lectures is quite large, and ideas from different fields in mathematical physics must be combined. Therefore not all the details will be explained. I have tried to select proofs for presentation according to their technical simplicity and elegance. This should not mislead you to believe that mathematical physics is a simple thing. Some of the most outstanding and admirable recent results of, say, constructive quantum field theory (e.g. [GJ1] [GRS] [GJS1] [OS]; see also [CQFT]) require an enormous amount of sophisticated and hard analysis. These results concern the existence of relativistic quantum fields and their detailed properties, e.g. their non-triviality, (in the sense that the scattering matrix is different from the identity [EEF, OSé]). The fact that the proofs of many of these results are very hard and intricate may seem or be unpleasant.

supported in part by U.S. NSF under grant GP-39048 and by ZiF, Universität Bielefeld

Lecture given at XV. internationale Universitätswochen für Kernphysik, Schladming, Austria, February 16–27, 1976.

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  1. J. Fröhlich

    Present address: ZiF, Universität Bielefeld, D-4800, Bielefeld, Wellenberg 1, F.R.Germany

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  1. Department of Mathematics, Princeton University, Princeton, N.J., 08540, USA

    J. Fröhlich

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  1. Institut für Theoretische Physik, Universität Graz, Austria

    Paul Urban

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Fröhlich, J. (1976). Phase Transitions, Goldstone Bosons and Topological Superselection Rules. In: Urban, P. (eds) Current Problems in Elementary Particle and Mathematical Physics. Few-Body Systems, vol 15/1976. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8462-2_5

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  • DOI: https://doi.org/10.1007/978-3-7091-8462-2_5

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