@article{AIHPA_1975__22_2_109_0,
author = {Glimm, James and Jaffe, Arthur},
title = {On the approach to the critical point},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {23},
year = {1975},
pages = {109-122},
mrnumber = {384013},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1975__22_2_109_0}
}
Glimm, James; Jaffe, Arthur. On the approach to the critical point. Annales de l'I.H.P. Physique théorique, Tome 23 (1975) pp. 109-122. http://gdmltest.u-ga.fr/item/AIHPA_1975__22_2_109_0/
[1] , Conservation of estimates in quantum field theory. Comm. Pure and Appl. Math., t. 25, 1972, p. 759-779. | MR 311234
[2] , Broken scale invariance in scalar field theory. Phys. Rev., D2, 1970, p. 1541-1547.
[3] , Scaling Anomalies, in Developments in High Energy Physics, Academic Press, New York, 1972, p. 280-296. | MR 452222
[4] and , Construction of a one dimensional quantum field via a continuous Markov field. Funct. Anal. and its Appl., t. 7, 1973, p. 324-325 (English transl.). | Zbl 0294.60081
[5] , Schwinger functions and their generating functionals I, II. Helv. Phys. Acta, and Adv. in Mathematics. | MR 436830 | Zbl 0345.46057
[6] , General formulation of Griffiths' inequalities. Commun. Math. Phys., t. 16, 1970, p. 310-328. | MR 269252
[7] and , The (λφ4)2 quantum field theory without cutoffs III. The physical vacuum. Acta Math., t. 125, 1970, p. 203-261. | MR 269234
[8] and , The λ(φ4)2 quantum field theory IV. Perturbations of the Hamiltonian. J. Math. Phys., t. 13, 1972, p. 1558-1584. | MR 317683
[9] and , Entropy principle for vertex functions in quantum field models. Ann. Institut Henri Poincaré, t. 21, 1974, p. 1-26. | Numdam | MR 391796
[10] and , Critical point dominance in quantum field models. Ann. Institut Henri Poincaré, t. 21, 1974, p. 27-41. | Numdam | MR 413869
[11] and , φ42 quantum field model in the single-phase region: Differentiability of the mass and bounds on critical exponents, Phys. Rev., D15, to appear.
[12] and , A remark on the existence of φ44. Phys. Rev. Lett., t. 33, 1974, p. 440-442. | MR 400969
[13] and , Absolute bounds on vertices and couplings. Ann. Institut Henri Poincaré, t. 22, 1975, p. 1-13. | Numdam | MR 384012
[14] and , Two and three body equations in quantum field models. Commun. Math. Phys., to appear. | MR 413870
[15] , and , The Wightman axioms and particle structure in the P(φ)2 quantum field model. Ann. Math., t. 100, 1974, p. 585-632. | MR 363256
[16] , and , The particle structure of the weakly coupled P(φ)2 models and other applications of high temperature expansions, in: Constructive Quantum Field Theory, G. Velo and A. S. Wightman (eds.), Springer-Verlag, Berlin, 1973. | MR 395513
[17] , and , Nelson's Symmetry and the infinite volume behavior of the vacuum in P(φ)2. Commun. Math. Phys., t. 27, 1972, p. 10-22. | MR 311242
[18] , and , The P(φ)2 Euclidean quantum field theory as classical statistical mechanics. Ann. Math., t. 101, 1975, p. 111-259. | MR 378670
[19] , and , The pressure is independent of the boundary conditions, preprint. | MR 434230
[20] , More inequalities for Ising ferromagnets. Phys. Rev., B5, 1972, p. 2538- 2541.
[21] , GHS and other inequalities. Commun. Math. Phys., t. 35, 1974, p. 87-92. | MR 339738
[22] and ,Investigation of the spectra of stochastic operators arising in lattice models of a gas. Theoretical and Math. Phys., t. 2, 1970, p. 167-176 (English transl.).
[23] and , Axioms for Euclidean Green's functions I, II. Commun. Math. Phys., t. 31, 1973, p. 83-113 and Commun. Math. Phys. | MR 329492 | Zbl 0274.46047
[24] , Field theory approach to second order phase transitions in two and three dimensional systems. 1973 Cargèse lectures.
[25] , Lattice approximation of the field theory in a finite volume | MR 418721
[26] and , Tricritical exponents and scaling fields. Phys. Rev. Lett., t. 29, 1972, p. 349-352.
[27] , Local operator products and field equations in P(φ)2 theories.
[28] , Perturbation of the P(φ)2 quantum field Hamiltonian. J. Math. Phys., t. 14, 1973, p. 823-828. | MR 327216
[29] , Small distance behavior in field theory and power counting. Commun. Math. Phys., t. 18, 1970, p. 227-246. | Zbl 0195.55902