A Theory of Scattering for Quasifree Particles by Raymond F Streater

By Raymond F Streater

In this ebook, the writer offers the idea of quasifree quantum fields and argues that they can supply non-zero scattering for a few debris. The free-field illustration of the quantised transverse electromagnetic box isn't closed within the weak*-topology. Its closure includes soliton–anti-soliton pairs as limits of two-photon states as time is going to infinity, and the overlap likelihood may be computed utilizing Uhlmann's prescription. There aren't any unfastened parameters: the likelihood is decided with out requirement to specify any coupling consistent. All circumstances of the Shale transforms of the loose box ϕ of the shape ϕ→ϕ+φ, the place φ isn't within the one-particle house, are handled within the publication. There stay the instances of the Shale transforms of the shape ϕ → Tϕ, the place T is a symplectic map at the one-particle house, no longer close to the identity.

Contents:

  • Introduction
  • Haag–Kastler Fields
  • Representations of the Poincaré Group
  • The Maxwell Field
  • Some conception of Representations
  • Euclidean Electrodynamics
  • Models
  • Conclusion

Readership: Graduate scholars in particle and mathematical physics.

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