On the phase diagram of a $P{\left(\phi \right)}_{2}$ quantum field model
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 34 (1981) no. 2, pp. 173-229.
@article{AIHPA_1981__34_2_173_0,
author = {Summers, Stephen J.},
title = {On the phase diagram of a $P (\phi )_2$ quantum field model},
journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {173--229},
publisher = {Gauthier-Villars},
volume = {34},
number = {2},
year = {1981},
language = {en},
url = {http://archive.numdam.org/item/AIHPA_1981__34_2_173_0/}
}
TY  - JOUR
AU  - Summers, Stephen J.
TI  - On the phase diagram of a $P (\phi )_2$ quantum field model
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1981
DA  - 1981///
SP  - 173
EP  - 229
VL  - 34
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1981__34_2_173_0/
LA  - en
ID  - AIHPA_1981__34_2_173_0
ER  - 
%0 Journal Article
%A Summers, Stephen J.
%T On the phase diagram of a $P (\phi )_2$ quantum field model
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1981
%P 173-229
%V 34
%N 2
%I Gauthier-Villars
%G en
%F AIHPA_1981__34_2_173_0
Summers, Stephen J. On the phase diagram of a $P (\phi )_2$ quantum field model. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 34 (1981) no. 2, pp. 173-229. http://archive.numdam.org/item/AIHPA_1981__34_2_173_0/

[CR] F. Constantinescu and H.M. Ruck, Phase Transitions in a Continuous Three States Model with Discrete Gauge Symmetry, Ann. Phys., t. 115, 1978, p. 474- 495. | MR | Zbl

[DG] J. Dimock and J. Glimm, Measures on Schwartz Distribution Space and Applications to P(φ)2 Field Theories, Adv. Math., t. 12, 1974, p. 58-83. | MR | Zbl

[Fr1] J. Fröhlich, Schwinger Functions and Their Generating Functionals, I and II, Helv. Phys. Acta, t. 47, 1974, p. 265-306and Adv. Math., t. 23, 1977, p. 119-181, | MR | Zbl

[Fr2] J. Fröhlich, Phase Transitions, Goldstone Bosons, and Topological Superselection Rules, Acta Phys. Austr., suppl. t. 15, 1976, p. 133-269. | MR

[FS] J. Fröhlich and B. Simon, Pure States for General P(φ)2 Theories : Construction, Regularity and Variational Equality, Ann. Math., t. 105, 1977, p. 493-526. | MR

[FSS] J. Fröhlich, B. Simon and T. Spencer, Infrared Bounds, Phase Transitions and Continuous Symmetry Breaking, Comm. math. Phys., t. 50, 1976, p. 79-95. | MR

[Ga] K. Gawedzki, Existence of Three Phases for a P(φ)2 Model Quantum Field, Comm. math. Phys., t. 59, 1978, p. 117-142. | MR

[GJ1] J. Glimm and A. Jaffe, Two and Three Body Equations in Quantum Field Models, Comm. math. Phys., t. 44, 1975, p. 293-320. | MR

[GJ2] J. Glimm and A. Jaffe, On the Approach to the Critical Point, Ann. Inst. Henri Poincaré, t. 22, 1975, p. 109-122. | Numdam | MR

[GJS1] J. Glimm, A. Jaffe and T. Spencer, The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions, in Constructive Quantum Field Theory, edited by G. Velo and A. Wightman, Lecture Notes in Physics, Springer-Verlag, Berlin, t. 25, 1973. | MR

[GJS2] J. Glimm, A. Jaffe and T. Spencer, Existence of Phase Transitions for Quantum Fields, Proceedings of 1975 Marseille Conference.

[GJS3] J. Glimm, A. Jaffe and T. Spencer, Phase Transitions for φ42 Quantum Fields, Comm. math. Phys., t. 45, 1975, p. 203-216. | MR | Zbl

[GJS4] J. Glimm, A. Jaffe and T. Spencer, Convergent Expansion about Mean Field Theory, I and II, Ann. Phys., t. 101, 1976, p. 610-630 and p. 631-669.

[Gu1] F. Guerra, Uniqueness of the Vacuum Energy Density and van Hove Phenomenon in the Infinite Volume Limit for Two-Dimensional Self-Coupled Bose Fields, Phys. Rev. Lett., t. 28, 1972, p. 1213.

[Gu2] F. Guerra, External Field Dependence of Magnetization and Long Range Order in Quantum Field Theory, in Quantum Dynamics: Models and Mathematics, edited by L. Streit; Acta Phys. Austr., suppl. t. 16, 1976. | MR

[GRS1] F. Guerra, L. Rosen and B. Simon, The P(φ)2 Euclidean Quantum Field Theory as Classical Statistical Mechanics, I and II, Ann. Math., t. 101, 1975, p. 111-189 and 191-259. | MR

[GRS2] F. Guerra, L. Rosen and B. Simon, Boundary Conditions for the P(φ)2 Euclidean Field Theory, Ann. Inst. H. Poincaré, t. 25, 1976, p. 231-334. | Numdam | MR

[Mi] R.A. Minlos, Generalized Random Processes and their Extension in Measure, Trudy Moskov. Math. Obsc., t. 8, 1959, p. 497-518. | MR | Zbl

[N] E. Nelson, Probability Theory and Euclidean Field Theory, in Constructive Quantum Field Theory, edited by G. Velo and A. Wightman, Lecture Notes in Physics, Springer-Verlag, Berlin, t. 25, 1973. | MR | Zbl

[OS] K. Osterwalder and R. Schrader, Axioms for Euclidean Green's Functions, I and II, Comm. math. Phys., t. 31, 1973, 83-112 and t. 42, 1975, p. 281-305. | Zbl

[Si1] B. Simon, Correlation Inequalities and the Mass Gap in P(φ)2, I. Domination by the Two Point Function, Comm. math. Phys., t. 31, 1973, p. 127-136. | MR

[Si2] B. Simon, The P(φ)2 Euclidean (Quantum) Field Theory, Princeton University Press, Princeton, 1974. | MR

[Sp] T. Spencer, The Mass Gap for the P(φ)2 Quantum Field Model with a Strong External Field, Comm. math. Phys., t. 39, 1974, p. 63-76. | MR

[Su1] S. Summers, Harvard University Thesis, 1979.

[Su2] S. Summers, A New Proof of the Asymptotic Nature of Perturbation Theory in P(φ)2 Models, Helv. Phys. Acta, t. 53, 1980, p. 1-30. | MR