Screen LibraryA theory of scattering for quasifree particles /
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-s...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; Hackensack, N.J. : |
| Publication Dates: | 2015. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/9192#t=toc |
| Summary: |
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 [symbol] of the form [symbols], where [symbol] is not in the one-particle space, are treated in the book. There remain the cases of the Shale transforms of the form [symbol], where T is a symplectic map on the one-particle space, not near the identity. |
| Carrier Form: | 1 online resource (vi,95pages) : illustrations |
| Bibliography: | Includes bibliographical references (89-92) and index. |
| ISBN: | 9789814612081 |
| Index Number: | QC794 |
| CLC: | O561.5 |
| Contents: | 1. Introduction. 1.1. Introduction -- 2. Haag-Kastler fields. 2.1. The Poincare group. 2.2. The Segal *-algebra. 2.3. The Haag-Kastler axioms -- 3. Representations of the Poincare group. 3.1. Induced representations of groups. 3.2. Wigner's theory of symmetry. 3.3. Time-reversal -- 4. The Maxwell field. 4.1. The classical electromagnetic field. 4.2. The C*-norm for electromagnetism -- 5. Some theory of representations. 5.1. The tensor product and Fock space. 5.2. Segal's form of the Weyl relations. 5.3. Representations with coherent states. 5.4. The Segal-Bargmann transform -- 6. Euclidean electrodynamics. 6.1. Some probability theory. 6.2. Markov processes. 6.3. Independence. 6.4. Markov processes with stationary distributions. 6.5. Linear processes. 6.6. Random distributions. 6.7. Fock space and its real-wave realisation. 6.8. Second quantisation. 6.9. The free Euclidean field of spin zero. 6.10. The Nelson axioms. 6.11. Reconstruction of the Hamiltonian from Nelson's axioms -- 7. Models. 7.1. A model in 1 + 1 dimensions. 7.2. Instantons, magnetic poles and solitons. 7.3. An attempt in 1 + 3 dimensions. 7.4. Flat connections. 7.5. Pair production from photon-photon scattering. 7.6. Non-Abelian gauge fields -- 8. Conclusion. |