Ebook: Rigorous Methods in Particle Physics

The book addresses three major topics in mathematical physics: 1. recent rigorous results in potential theory with appli- cations in particle physics, 2. analyticity in quantum field theory and its applica- tions, and 3. fundamentals and applications of the inverse problem. In addition, the book contains some contributions on questions of general interest in quantum field theory such as nonperturbative solutions of quantum chromodynamics, bifurcation theory applied to chiral symmetry, as well as exactly soluable models. The volume closes with a brief review of geometric approaches to particle physics and a phenomenological discussion of Higgs interactions.

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The book addresses three major topics in mathematical physics: 1. recent rigorous results in potential theory with appli- cations in particle physics, 2. analyticity in quantum field theory and its applica- tions, and 3. fundamentals and applications of the inverse problem. In addition, the book contains some contributions on questions of general interest in quantum field theory such as nonperturbative solutions of quantum chromodynamics, bifurcation theory applied to chiral symmetry, as well as exactly soluable models. The volume closes with a brief review of geometric approaches to particle physics and a phenomenological discussion of Higgs interactions.
Content:
Front Matter....Pages -
A model for a dia-electric....Pages 1-3
Potential models for quarkonium systems....Pages 4-13
Some new bounds on the number of bound states....Pages 14-19
Moment inequalities and a Martin conjecture....Pages 20-25
On a class of spectral problems admitting partial algebraization....Pages 26-37
High energy theorems....Pages 38-52
Complex angular momentum analysis in axiomatic quantum field theory....Pages 53-76
Inverse scattering revisited: Explicit solution of the Marchenko-Martin method....Pages 77-97
The inverse of an inverse problem....Pages 98-101
Weak-star compactness and its relevance to analyticity problems....Pages 102-125
Variational improvement of perturbation theory and/or perturbative improvement of variational calculations....Pages 126-136
A new method for QCD sum rules: The L? norm approach....Pages 137-157
Bifurcation theory applied to chiral symmetry breaking....Pages 158-162
On the scaling behavior of the O(N) ?-model....Pages 163-167
A conjecture on the possible exact (1+1)-dimensional solutions to the discrete Boltzmann models I....Pages 168-187
Are heavy Higgs interactions observable at the 100 GeV scale?....Pages 188-201
Geometric approaches to particle physics....Pages 202-216
Back Matter....Pages -

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The book addresses three major topics in mathematical physics: 1. recent rigorous results in potential theory with appli- cations in particle physics, 2. analyticity in quantum field theory and its applica- tions, and 3. fundamentals and applications of the inverse problem. In addition, the book contains some contributions on questions of general interest in quantum field theory such as nonperturbative solutions of quantum chromodynamics, bifurcation theory applied to chiral symmetry, as well as exactly soluable models. The volume closes with a brief review of geometric approaches to particle physics and a phenomenological discussion of Higgs interactions.
Content:
Front Matter....Pages -
A model for a dia-electric....Pages 1-3
Potential models for quarkonium systems....Pages 4-13
Some new bounds on the number of bound states....Pages 14-19
Moment inequalities and a Martin conjecture....Pages 20-25
On a class of spectral problems admitting partial algebraization....Pages 26-37
High energy theorems....Pages 38-52
Complex angular momentum analysis in axiomatic quantum field theory....Pages 53-76
Inverse scattering revisited: Explicit solution of the Marchenko-Martin method....Pages 77-97
The inverse of an inverse problem....Pages 98-101
Weak-star compactness and its relevance to analyticity problems....Pages 102-125
Variational improvement of perturbation theory and/or perturbative improvement of variational calculations....Pages 126-136
A new method for QCD sum rules: The L? norm approach....Pages 137-157
Bifurcation theory applied to chiral symmetry breaking....Pages 158-162
On the scaling behavior of the O(N) ?-model....Pages 163-167
A conjecture on the possible exact (1+1)-dimensional solutions to the discrete Boltzmann models I....Pages 168-187
Are heavy Higgs interactions observable at the 100 GeV scale?....Pages 188-201
Geometric approaches to particle physics....Pages 202-216
Back Matter....Pages -
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