Phase Transitions, Goldstone Bosons and Topological Superselection Rules

  • J. Fröhlich
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 15/1976)


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.


Phase Transition Thermodynamic Limit Hamilton Function Goldstone Boson Bare Mass 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • J. Fröhlich
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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