@article{AIHPA_1979__30_3_193_0,
author = {Osipov, Edward P.},
title = {The Yukawa quantum field theory : the Matthews-Salam formulas},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {31},
year = {1979},
pages = {193-206},
mrnumber = {546186},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1979__30_3_193_0}
}
Osipov, Edward P. The Yukawa quantum field theory : the Matthews-Salam formulas. Annales de l'I.H.P. Physique théorique, Tome 31 (1979) pp. 193-206. http://gdmltest.u-ga.fr/item/AIHPA_1979__30_3_193_0/
[1] and , The Green's functions of quantized fields, Nuovo Cimento, t. 12, 1954, p. 563-565. | Zbl 0056.44306
[2] and , Propagators of quantized fields, Nuovo Cimento, t. 2, 1955, p. 120-134. | MR 75096 | Zbl 0067.44801
[3] , On the representation of the Green-Schwinger functions with the help of the functional integrals (in Russian), Doklady Akad. Nauk SSSR, t. 99, 1954, p. 225-226. | MR 67768 | Zbl 0056.22105
[4] and , Introduction to the theory of quantized fields, Interscience Publishers, New York, 1959. | MR 110471 | Zbl 0088.21701
[5] and , Quantum field models, in Statistical mechanics and quantum field theory, Les Houches, 1970, ed. by C. De Witt and R. Stora, Gordon and Breach, New York, 1971, p. 1-108.
[6] , Yukawa quantum field theory in two space-time dimensions without cut-offs, Ann. Phys. (N. Y.), t. 70, 1972, p. 412-457. | MR 302088
[7] , Schwinger functions for the Yukawa model in two dimensions with space-time cut-off, Commun. Math. Phys., t. 42, 1975, p. 163-182. | MR 376022
[8] and , Bounds in the Yukawa2 quantum field theory: upper bound on the pressure, Hamiltonian bound and linear lower bound, Commun. Math. Phys., t. 45, 1975, p. 99-114. | MR 413886
[9] , Volume dependence of Schwinger functions in the Yukawa2 quantum field theory, Commun. Math. Phys., t. 45, 1975, p. 279-294. | MR 389075
[10] , Boundedness below for fermion model theories. Part I, J. Math. Phys., t. 16, 1975, p. 1649-1661. | MR 376009
[11] , Boundedness below for fermion model theories. Part II. The linear lower bound, Commun. Math. Phys., t. 47, 1976, p. 1-24. | MR 406193
[12] and , Nelson's symmetry and all that in the Yukawa2 and φ43 field theories, Ann. Phys. (N. Y.), t. 97, 1976, p. 470-518. | MR 438960
[13] and , The Wightman axioms for the weakly coupled Yukawa model in two dimensions, Commun. Math. Phys., t. 51, 1976, p. 297-313. | MR 434224
[14] and , The weakly coupled Yukawa2 field theory: cluster expansion and Wightman axioms, Trans. Amer. Math. Soc., t. 234, 1977, p. 1-88. | MR 468872
[15] , Construction of the Yukawa2 field theory with a large external field J. Math. Phys., t. 18, 1977, p. 894-897. | MR 441147
[16] , On the formula of Matthews and Salam, J. Funct. Anal., t. 25, 1977, p. 162-209. | MR 459403 | Zbl 0414.47010
[17] , The Yukawa2 quantum field theory: linear Nτ bound, locally Fock property, Ann. Inst. H. Poincaré, t. 30A, 1979, p. 159-192. | Numdam
[18] , The Yukawa2 quantum field theory: various results (in Russian), Preprint TPh-99, Institute for Mathematics, Novosibirsk, 1978.
[19] , Intégrabilité des vecteurs gaussiens, C. R. Acad. Sci. Paris Sér. A, t. 270, 1970, p. 1698-1699. | MR 266263 | Zbl 0206.19002
[20] , Régularité des trajectoires des fonctions aléatoires gaussiennes, in École d'Été de Probabilités de Saint-Flour, IV. 1974, édité par P.-L. Hennequin, Lecture Notes in Mathematics, 480, Springer-Verlag, Berlin, Heidelberg, New York, 1975, p. 2-97. | MR 413238 | Zbl 0331.60025
[21] , The P(φ)2 Euclidean (quantum) field theory, Princeton University Press, Princeton, 1974. | MR 489552
[22] , The characterization of Gaussian fields with the Markov property (in Russian), Doklady Akad. Nauk SSSR, t. 197, 1971, p. 784-787. | MR 297018 | Zbl 0236.60031
[23] , Perturbation theory for linear operators, Springer-Verlag, Berlin, Heidelberg, New York, 1966. | MR 203473 | Zbl 0148.12601
[24] , Notes on infinite determinants of Hilbert space operators, Adv. Math., t. 24, 1977, p. 244-273. | MR 482328 | Zbl 0353.47008