A Theory of Scattering for Quasifree Particles

Nonfiction, Science & Nature, Science, Physics, Nuclear Physics, Mathematical Physics
Cover of the book A Theory of Scattering for Quasifree Particles by Raymond F Streater, World Scientific Publishing Company
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Author: Raymond F Streater ISBN: 9789814612098
Publisher: World Scientific Publishing Company Publication: July 31, 2014
Imprint: WSPC Language: English
Author: Raymond F Streater
ISBN: 9789814612098
Publisher: World Scientific Publishing Company
Publication: July 31, 2014
Imprint: WSPC
Language: English

In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some particles. The free-field representation of the quantised transverse electromagnetic field is not closed in the weak*-topology. Its closure contains soliton–anti-soliton pairs as limits of two-photon states as time goes to infinity, and the overlap probability can be computed using Uhlmann's prescription. There are no free parameters: the probability is determined with no requirement to specify any coupling constant. All cases of the Shale transforms of the free field ϕ of the form ϕ→ϕ+φ, where φ is not in the one-particle space, are treated in the book. There remain the cases of the Shale transforms of the form ϕ → Tϕ, where T is a symplectic map on the one-particle space, not near the identity.

Contents:

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

Readership: Graduate students and professional in particle and mathematical physics.
Key Features:

  • There are no competing titles for this book
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In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some particles. The free-field representation of the quantised transverse electromagnetic field is not closed in the weak*-topology. Its closure contains soliton–anti-soliton pairs as limits of two-photon states as time goes to infinity, and the overlap probability can be computed using Uhlmann's prescription. There are no free parameters: the probability is determined with no requirement to specify any coupling constant. All cases of the Shale transforms of the free field ϕ of the form ϕ→ϕ+φ, where φ is not in the one-particle space, are treated in the book. There remain the cases of the Shale transforms of the form ϕ → Tϕ, where T is a symplectic map on the one-particle space, not near the identity.

Contents:

Readership: Graduate students and professional in particle and mathematical physics.
Key Features:

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