On the approach to the critical point
Annales de l'I.H.P. Physique théorique, Tome 22 (1975) no. 2, pp. 109-122.
@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},
pages = {109--122},
publisher = {Gauthier-Villars},
volume = {22},
number = {2},
year = {1975},
mrnumber = {384013},
language = {en},
url = {archive.numdam.org/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 22 (1975) no. 2, pp. 109-122. http://archive.numdam.org/item/AIHPA_1975__22_2_109_0/

[1] O. Bratelli, Conservation of estimates in quantum field theory. Comm. Pure and Appl. Math., t. 25, 1972, p. 759-779. | MR 311234

[2] C. Callan, Broken scale invariance in scalar field theory. Phys. Rev., D2, 1970, p. 1541-1547.

[3] S. Coleman, Scaling Anomalies, in Developments in High Energy Physics, Academic Press, New York, 1972, p. 280-296. | MR 452222

[4] R. Dobrushin and R. Minlos, 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] J. Fröhlich, Schwinger functions and their generating functionals I, II. Helv. Phys. Acta, and Adv. in Mathematics. | MR 436830 | Zbl 0345.46057

[6] J. Ginibre, General formulation of Griffiths' inequalities. Commun. Math. Phys., t. 16, 1970, p. 310-328. | MR 269252

[7] J. Glimm and A. Jaffe, The (λφ4)2 quantum field theory without cutoffs III. The physical vacuum. Acta Math., t. 125, 1970, p. 203-261. | MR 269234

[8] J. Glimm and A. Jaffe, The λ(φ4)2 quantum field theory IV. Perturbations of the Hamiltonian. J. Math. Phys., t. 13, 1972, p. 1558-1584. | MR 317683

[9] J. Glimm and A. Jaffe, Entropy principle for vertex functions in quantum field models. Ann. Institut Henri Poincaré, t. 21, 1974, p. 1-26. | Numdam | MR 391796

[10] J. Glimm and A. Jaffe, Critical point dominance in quantum field models. Ann. Institut Henri Poincaré, t. 21, 1974, p. 27-41. | Numdam | MR 413869

[11] J. Glimm and A. Jaffe, φ42 quantum field model in the single-phase region: Differentiability of the mass and bounds on critical exponents, Phys. Rev., D15, to appear.

[12] J. Glimm and A. Jaffe, A remark on the existence of φ44. Phys. Rev. Lett., t. 33, 1974, p. 440-442. | MR 400969

[13] J. Glimm and A. Jaffe, Absolute bounds on vertices and couplings. Ann. Institut Henri Poincaré, t. 22, 1975, p. 1-13. | Numdam | MR 384012

[14] J. Glimm and A. Jaffe, Two and three body equations in quantum field models. Commun. Math. Phys., to appear. | MR 413870

[15] J. Glimm, A. Jaffe and T. Spencer, 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] J. Glimm, A. Jaffe and T. Spencer, 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] F. Guerra, L. Rosen and B. Simon, 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] F. Guerra, L. Rosen and B. Simon, The P(φ)2 Euclidean quantum field theory as classical statistical mechanics. Ann. Math., t. 101, 1975, p. 111-259. | MR 378670

[19] F. Guerra, L. Rosen and B. Simon, The pressure is independent of the boundary conditions, preprint. | MR 434230

[20] J. Lebowitz, More inequalities for Ising ferromagnets. Phys. Rev., B5, 1972, p. 2538- 2541.

[21] J. Lebowitz, GHS and other inequalities. Commun. Math. Phys., t. 35, 1974, p. 87-92. | MR 339738

[22] R. Minlos and Ya. Sinai,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] K. Osterwalder and R. Schrader, 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] G. Parisi, Field theory approach to second order phase transitions in two and three dimensional systems. 1973 Cargèse lectures.

[25] Y. Park, Lattice approximation of the ${\left({\phi }^{4}-\mu \phi \right)}_{3}$ field theory in a finite volume | MR 418721

[26] E. Riedel and F. Wegner, Tricritical exponents and scaling fields. Phys. Rev. Lett., t. 29, 1972, p. 349-352.

[27] R. Schrader, Local operator products and field equations in P(φ)2 theories.

[28] T. Spencer, Perturbation of the P(φ)2 quantum field Hamiltonian. J. Math. Phys., t. 14, 1973, p. 823-828. | MR 327216

[29] K. Symanzik, Small distance behavior in field theory and power counting. Commun. Math. Phys., t. 18, 1970, p. 227-246. | Zbl 0195.55902