Collected Papers Vol.2:Constructive Quantum Field Theory.Selected Papers

Zusatztext

. 491 VII Confinement and Instantons Introduction. 497 Bibliography. 497 Instantons in a U(I) lattice gauge theory: A coulomb dipole gas. 498 Charges, vortiees and confinement. 516 vi VIII ReOectioD Positivity Introduction. 531 Bibliography. 531 A note on reflection positivity. 532 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. ".

Autorenportrait

InhaltsangabeCollected 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 Reflection Positivity.- A note on reflection positivity.

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