@article{AIHPA_1974__21_4_271_0,
author = {Fr\"ohlich, J\"urg},
title = {Verification of axioms for euclidean and relativistic fields and {Haag{\textquoteright}s} theorem in a class of $P(\varphi )_2$-models},
journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {271--317},
publisher = {Gauthier-Villars},
volume = {21},
number = {4},
year = {1974},
language = {en},
url = {http://www.numdam.org/item/AIHPA_1974__21_4_271_0/}
}
TY - JOUR AU - Fröhlich, Jürg TI - Verification of axioms for euclidean and relativistic fields and Haag’s theorem in a class of $P(\varphi )_2$-models JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1974 SP - 271 EP - 317 VL - 21 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1974__21_4_271_0/ LA - en ID - AIHPA_1974__21_4_271_0 ER -
%0 Journal Article %A Fröhlich, Jürg %T Verification of axioms for euclidean and relativistic fields and Haag’s theorem in a class of $P(\varphi )_2$-models %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1974 %P 271-317 %V 21 %N 4 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1974__21_4_271_0/ %G en %F AIHPA_1974__21_4_271_0
Fröhlich, Jürg. Verification of axioms for euclidean and relativistic fields and Haag’s theorem in a class of $P(\varphi )_2$-models. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 21 (1974) no. 4, pp. 271-317. http://www.numdam.org/item/AIHPA_1974__21_4_271_0/
[1] , J. Math. Phys., t. 1, 1960, p. 492. | MR | Zbl
[2] , Comm. Math. Phys., t. 20, 1971, p. 9. | MR | Zbl
[3] and , « Sample Field Behaviour for the Free Markov Random Field », in Constructive Quantum Field Theory, G. Velo and A. Wightman (eds.), Lecture Notes in Physics, Vol. 25, Springer Verlag, Berlin-Heidelberg-New York, 1974. | MR | Zbl
[4] , Asymptotic Perturbation Expansion in the P(ϕ)2 Quantum Field Theory, NYU Preprint, 1973. | MR
[5] , Markov Processes, Vol. I, II, Springer-Verlag, Berlin-Heidelberg- New York, 1965. | MR | Zbl
[6] , Schwinger Functions and Their Generating Functionals, I. Helv. Phys. Acta, t. 47, 1974, p. 265. | MR | Zbl
[7] , Schwinger Functions and Their Generating Functionals, II. Harvard Preprint, 1973, to appear in Adv. Math. | MR | Zbl
[8] , Comm. Math. Phys., t. 8, 1968, p. 12. | MR | Zbl
[9] and , « Boson Quantum Field Models », in Mathematics of Contemporary Physics, ed. by R. Streater, Academic Press, New York-London, 1972. | MR
[10] and , J. Math. Phys., t. 13, 1972, p. 1568.
[11] and , « The Entropy Principle for Vertex Functions in Quantum Field Models », to appear in Ann. Inst. « Henri Poincaré ». | Numdam | MR
[12] , , and , « The Wightman Axioms and Particle Structure in the P(ϕ)2 Quantum Field Model », to appear in Ann. Math.
[13] , , and , « The Particle Structure of the Weakly Coupled P(ϕ)2 Models and Other Applications of High Temperature Expansions, Part II », in Constructive Quantum Field Theory, G. Velo and A. Wightman (eds.), Lecture Notes in Physics, Vol. 25, Springer-Verlag, Berlin-Heidelberg-New York, 1974. | MR
[14] , Phys. Rev. Lett., t. 28, 1972, p. 1213.
[15] , , and , Comm. Math. Phys., t. 27, 1972, p. 10 ; and t. 29, 1973, p. 233.
[16] , , and , « The P(φ)2 Euclidean Quantum Field Theory as Classical Statistical Mechanics », to appear in Ann. Math.
[17] , From Euclidean to Relativistic Fields, University of Göttingen, Preprint, 1973.
[18] , « The General Theory of Quantized Fields », Lectures in Applied Mathematics, American Math. Soc., Providence, 1965. | MR | Zbl
[19] , Princeton Thesis, Princeton University, 1960.
[20] , Tr. Mosk. Mat. Obs., t. 8, 1959, p. 471.
[21] , A Quartic Interaction in Two Dimensions, ed. by R. Goodman and I. Segal, MIT Press, Cambridge, 1966. | MR
[22] , J. Funct. Anal., t. 11, 1972, p. 211. | Zbl
[23] , « Quantum Fields and Markov Fields », in Proceedings of the Summer Institute on Partial Differential Equations, Berkeley, 1971, American Math. Soc., Providence, 1973. | MR | Zbl
[24] , J. Funct. Anal., t. 12, 1973, p. 97. | Zbl
[25] , J. Funct. Anal., t. 12, 1973, p. 211. | Zbl
[26] , « Probability Theory and Euclidean Field Theory », in Constructive Quantum Field Theory, G. Velo and A. Wightman (eds.), Lecture Notes in Physics, Vol. 25, Springer Verlag, Berlin-Heidelberg-New York, 1974. | MR | Zbl
[27] , Zeros of the Partition Function for Generalized Ising Systems, NYU Preprint, 1973. | MR
[28] and , « Euclidean Fermi Fields and a Feynman-Kac Formula for Boson-Fermion Models », to appear in Helv. Phys. Acta. | MR
[29] and , Comm. Math. Phys., t. 31, 1973, p. 83. | MR | Zbl
[30] , « Euclidean Green's Functions and Wightman Distributions », in Constructive Quantum Field Theory, G. Velo and A. Wightman (eds.), Lecture Notes in Physics, Vol. 25, Springer-Verlag, Berlin-Heidelberg-New York, 1974. | Zbl
[31] and , to appear in Comm. Math. Phys. | MR
[32] , and , Support Properties of the Free Measure for Boson Fields, Princeton Preprint, 1973.
[33] , Statistical Mechanics (Rigorous Results), W. A. Benjamin, New York- Amsterdam, 1969. | MR | Zbl
[34] , On the Euclidean Version of Haag's Theorem in P(ϕ)2 Theories, Freie Universität Berlin Preprint, 1973.
[35] and , Comm. Math. Phys., t. 33, 1973, p. 145. | MR
[36] , « Correlation Inequalities and the Mass Gap in P(ϕ)2, II. Uniqueness of the Vacuum for a Class of Strongly Coupled Theories », Ann. Math., to appear. | MR
[37] , « The P(ϕ)2 Euclidean (Quantum) Field Theory », to appear in Princeton Series in Physics, Princeton University Press, 1974. | MR | Zbl
[38] , « Positivity of the Hamiltonian Semigroup and the Construction of Euclidean Region Fields », to appear in Helv. Phys. Acta. | MR
[39] , The Mass Gap for the P(ϕ)2 Quantum Field Model with a Strong External Field, NYU Preprint, 1973. | MR
[40] and , PCT, Spin and Statistics and All That, W. A. Benjamin, New York-Amsterdam, 1964. | MR | Zbl
[41] , « Euclidean Quantum Field Theory » in Local Quantum Theory, Proceedings of the International School of Physics, « Enrico Fermi », Course 45, ed. by R. Jost, Academic Press, New York-London, 1969.
