A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions
Bałaban, T. ; Gawędzki, K.
Annales de l'I.H.P. Physique théorique, Tome 37 (1982), p. 271-400 / Harvested from Numdam
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@article{AIHPA_1982__36_4_271_0,
     author = {Ba\l aban, T. and Gaw\k edzki, Krzysztof},
     title = {A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {37},
     year = {1982},
     pages = {271-400},
     zbl = {0509.46059},
     mrnumber = {667547},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1982__36_4_271_0}
}

Bałaban, T.; Gawędzki, K. A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions. Annales de l'I.H.P. Physique théorique, Tome 37 (1982) pp. 271-400. http://gdmltest.u-ga.fr/item/AIHPA_1982__36_4_271_0/

[1] J. Bricmont, J.R., Fontaine, L. Landau, Absence of Symmetry Breakdown and Uniqueness of the Vacuum for Multicomponent Field Theories, Commun. in Math. Phys., t. 64, 1978, p. 49-72. | MR 516996

[2] F. Constantinescu, H.M. Ruck, Phase Transitions in a Continuous Three States Model With Discrete Gauge Symmetry, Ann. Phys., t. 115, 1978, p. 474- 495. | MR 513893 | Zbl 0409.60095

[3] A. Cooper, L. Rosen, The Weakly Coupled Yukawa2 Field Theory: Cluster expansion and Wightman Axioms, Transactions of the American Mathematical Society, t. 234, 1977, p. 1-88. | MR 468872

[4] J. Fröhlich, Phase Transitions, Goldstone Bosons and Topological Superselection Rules, Acta Physica Austriaca, Suppl. XV, 1976, p. 133-269. | MR 523547

[5] J. Fröhlich, B. Simon, T. Spencer, Infrared Bounds, Phase Transitions and Continuous Symmetry Breaking, Commun. In Math. Phys., t. 50, 1976, p. 79-85. | MR 421531

[6] J. Fröhlich, T. Spencer, Phase Transitions in Statistical Mechanics and Quantum Field Theory, in New Developments in Quantum Field Theory and Statistical Mechanics. Cargése, 1976, edited by M. Lévy and P. Mitter, p. 79-130. | MR 508189

[7] K. Gawędzki, Existence of Three Phases for a P(φ)2 Model of Quantum Field, Commun. in Math. Phys., t. 59, 1978, p. 117-142. | MR 479177

[8] B. Gidas, The Glimm-Jaffe-Spencer Expansion for the Classical Boundary Conditions and Coexistence of Phases in the Euclidean (Quantum) Field Theory, Ann. Phys., t. 118, 1979, p. 18-83. | MR 530596 | Zbl 0396.35080

[9] J. Glimm, A. Jaffe, Positivity of the φ43 Hamiltonian, Fortschritte der Physik, t. 21, 1973, p. 327-376. | MR 408581

[10] J. Glimm, A. Jaffe, 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

[11] J. Glimm, A. Jaffe, T. Spencer, The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions. Part II: The Cluster Expansion, in Constructive Quantum Field Theory, Lecture Notes in Physics, t. 25, edited by G. Velo and A. Wightman, 1973, p. 199-242. | MR 395513

[12] J. Glimm, A. Jaffe, T. Spencer, Phase Transitions for Quantum Fields, Commun. in Math. Phys., t. 45, 1975, p. 203-216. | MR 391797 | Zbl 0956.82501

[13] J. Glimm, A. Jaffe, T. Spencer, A Convergent Expansion about Mean Field Theory. Ann. Phys., t. 101, 1976, p. 610-669.

[14] F. Guerra, L. Rosen, B. Simon, Boundary Conditions for the P(φ)2 Euclidean Field Theory, Ann. Inst. Henri Poincaré, t. 25, 1976, p. 231-334. | Numdam | MR 441150

[15] H. Kunz, B. Souillard, Private communication through, J. Magnen and R. Senéor.

[16] J. Magnen, R. Senéor, The Wightman Axioms for the Weakly Coupled Yukawa Model in Two Dimensions, Commun. in Math. Phys., t. 51, 1976, p. 297-313. | MR 434224

[17] O. Mcbryan, Finite Mass Renormalization in the Euclidean Yukawa2 Field Theory, Commun. in Math. Phys., t. 44, 1975, p. 237-244. | MR 398351

[18] O. Mcbryan, Volume Dependence of Schwinger Functions in the Yukawa2 Quantum Field Theory, Commun. in Math. Phys., t. 45, 1975, p. 279-294. | MR 389075

[19] K. Osterwalder, R. Schrader, Axioms for Euclidean Green's Functions, I. Commun. in Math. Phys., t. 31, 1973, p. 83-112. II. Commun. in Math. Phys., t. 42, 1975, p. 281-305. | Zbl 0274.46047

[20] S.A. Pirogov, Ja. G. Sinal, Ground States in Two-Dimensional Boson Quantum Field-Theory, Ann. Phys., t. 109, 1977, p. 393-400. | MR 495987

[21] P. Renouard, Analyticité et Sommabilité de Borel des Fonctions de Schwinger du Modèle de Yukawa en Dimension d = 2. I. Approximation à Volume Fini, Ann. Inst. Henri Poincaré, t. 27, 1977, p. 237-277. | Numdam | MR 479176

[22] P. Renouard, private communication.

[23] E. Seiler, Schwinger Functions for the Yukawa Model in Two Dimensions with Space-Time Cutoff, Commun. in Math. Phys., t. 42, 1975, p. 163-182. | MR 376022

[24] E. Seiler, B. Simon, On Finite Mass Renormalizations in the Two-Dimensional Yukawa Model, J. Math. Phys., t. 16, 1975, p. 2289-2293. | MR 403484

[25] E. Seiler, B. Simon, Bounds in the Yukawa2 Quantum Field Theory: Upper Bound on the Pressure, Hamiltonian Bound and Linear Lower Bound, Commun. in Math. Phys., t. 45, 1975, p. 99-114. | MR 413886

[26] E. Seiler, B. Simon, Nelson's Symmetry and All That in the Yukawa2 and (φ4)3 Field Theories, Ann. Phys., t. 97, 1976, p. 470-518. | MR 438960

[27] B. Simon, Notes on Infinite Determinants of Hilbert Space Operators, Advances in Mathematics, t. 24, 1977, p. 244-273. | MR 482328 | Zbl 0353.47008

[28] B. Simon, The P(φ)2 Euclidean (Quantum) Field Theory, Princeton Series in Physics, Princeton, New Jersey, 1974. | MR 489552