Collected Papers
Springer-Verlag New York Inc.
978-1-4612-5420-1 (ISBN)
32 vii Collected Papers - Volume 1 Introduction...1 Bibliography ...5 I Infinite Renormalization of the Hamiltonian Is Necessary 9 II Quantum Field Theory Models: Parti. The ep;" Model 13 Introduction...13 Fock space...17 Q space...28 The Hamiltonian H(g)...39 Removing the space cutoff...50 Lorentz covariance and the Haag-Kastler axioms...61 Part II. The Yukawa Model 71 Preliminaries ...72 First and second order estimates ...86 Resolvent convergence and self adjointness ...98 The Heisenberg picture ..." ...
Collected Papers - Volume 2.- I Construction of P(?)2.- A ? (?4)2 quantum field theory without cutoffs: part I..- The ? (?4)2, quantum field theory without cutoffs: part II. The field operators and the approximate vacuum.- The ? (?4)2 quantum field theory without cutoffs: part III. The physical vacuum.- The Wightman axioms and particle structure in the P(?)2 quantum field model.- II Phase Cell Localization and ?34 Stability.- Positivity and self adjointness of the P(?)2 Hamiltonian.- The ? (?4)2 quantum field theory without cutoffs: part IV. Perturbations of the Hamiltonian.- Positivity of the ?34 Hamiltonian.- III Phase Transitions Exist.- Phase transitions for ?24 quantum fields.- A convergent expansion about mean field theory: part I. The expansion.- A convergent expansion about mean field theory: part II. Convergence of the expansion.- IV Phase Transitions and Critical Behavior.- Critical point dominance in quantum field models.- ?24 quantum field model in the single-phase regions: Differentiability of the mass and bounds on critical exponents.- Remark on the existence of ?44.- On the approach to the critical point.- Critical exponents and elementary particles.- V Particle Structure.- The entropy principle for vertex functions in quantum field models.- Three-particle structure of ?4 interactions and the scaling limit.- Two and three body equations in quantum field models.- Particles and scaling for lattice fields and Ising models.- The resummation of one particle lines.- VI Bounds on Coupling Constants.- Absolute bounds on vertices and couplings.- The coupling constant in a ?4 field theory.- VII Confinement and Instantons.- Instantons in a U(1) lattice gauge theory: A coulomb dipole gas.- Charges, vortices and confinement.- VIII ReflectionPositivity.- A note on reflection positivity.
| Reihe/Serie | Contemporary Physicists |
|---|---|
| Zusatzinfo | X, 534 p. |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| ISBN-10 | 1-4612-5420-5 / 1461254205 |
| ISBN-13 | 978-1-4612-5420-1 / 9781461254201 |
| Zustand | Neuware |
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