@article{AIHPA_1979__30_3_159_0, author = {Osipov, Edward P.}, title = {The Yukawa quantum field theory : linear $N\_\tau $ bound, locally Fock property}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {31}, year = {1979}, pages = {159-192}, mrnumber = {546185}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1979__30_3_159_0} }
Osipov, Edward P. The Yukawa quantum field theory : linear $N_\tau $ bound, locally Fock property. Annales de l'I.H.P. Physique théorique, Tome 31 (1979) pp. 159-192. http://gdmltest.u-ga.fr/item/AIHPA_1979__30_3_159_0/
[1] The λφ42 Quantum Field Theory without cut-offs. III. The Physical Vacuum, Acta Math., t. 125, 1970, p. 203-260. | MR 269234
and ,[2] Quantum Field Models, in Statistical Mechanics and Quantum Field Theory, Les Houches, 1970, ed. C. De Witt and R. Stora, Gordon and Breach, New York, 1971, p. 1-108.
and ,[3] Yukawa quantum field theory in two space-time dimensions without cut-offs, Ann. Phys. (N. Y.), t. 70, 1972, p. 412-457. | MR 302088
,[4] 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
and ,[5] Nelson's symmetry and all that in the Yukawa2 and ø43 field theories, Ann. Phys. (N. Y.), t. 97, 1976, p. 470-518. | MR 438960
and ,[6] The Wightman axioms for the weakly coupled Yukawa model in two dimensions, Commun. Math. Phys., t. 51, 1976, p. 297-313; Preprint de l'École Polytechnique, octobre 1975. | MR 434224
and ,[7] The energy-momentum spectrum and vacuum expectation values in quantum field theory, II, Commun. Math. Phys., t. 22, 1971, p. 1-22. | MR 295709
and ,[8] The Green's functions of quantized fields, Nuovo Cimento, t. 12, 1954, p. 563-565. | Zbl 0056.44306
and ,[9] Propagators of quantized fields, Nuovo Cimento, t. 2, 1955, p. 120-134. | MR 75096 | Zbl 0067.44801
and ,[10] Schwinger functions for the Yukawa model in two dimensions with space-time cutoff, Commun. Math. Phys., t. 42, 1975, p. 163-182. | MR 376022
,[11] On finite mass renormalizations in the two-dimensional Yukawa model, J. Math. Phys., t. 16, 1975, p. 2289-2293. | MR 403484
and ,[12] Measures on the Schwartz distribution space and application to P(φ)2 field theories, Adv. Math., t. 12, 1974, p. 58-83. | MR 349171 | Zbl 0313.28015
and ,[13] Volume dependence of Schwinger functions in the Yukawa2 quantum field theory, Commun. Math. Phys., t. 45, 1975, p. 279-294. | MR 389075
,[14] The P(φ)2 euclidean (quantum) field theory, Princeton University Press, 1974. | MR 489552
,[15] The characterization of gaussian fields with the Markov property (in Russian), Dokladi AN SSSR, t. 197, 1971, p. 784-787. | MR 297018 | Zbl 0236.60031
,[16] Generalized functions and their applications. vol. I (In Russian), Fizmatgiz, Moscow, 1959.
and ,[17] The particle structure of the weakly coupled P(φ)2 model and other applications of high temperature expansions. Part II. In Constructive quantum field theory, ed. G. Velo and A. S. Wightman, Lecture Notes in Physics, vol. 25, Springer-Verlag, Berlin-Heidelberg-New York, 1973. | MR 395513
, and ,[18] Introduction to the theory of linear nonselfadjoint operators (In Russian), Nauka, Moscow, 1965 and Translations of mathematical monographs, vol. 18, Amer. Math. Soc., Providence, R. I., 1969. | MR 246142 | Zbl 0181.13504
and ,[19] Perturbation theory for linear operators, Springer, Berlin-Heidelberg- New York, 1966. | MR 203473 | Zbl 0148.12601
,[20] The λ(φ)4)2 quantum field theory without cutoffs. IV. Perturbation of the hamiltonian, J. Math. Phys., t. 13, 1972, p. 1568-1584. | MR 317683
and ,[21] Linear Operators, vol. II, Interscience, New York, 1963. | MR 188745 | Zbl 0128.34803
and ,[22] The weakly coupled Yukawa2 field theory: cluster expansion and Wightman axioms, Trans. Amer. Math. Soc., t. 234, 1977, p. 1-88. | MR 468872
and ,[23] Construction of the Yukawa2 field theory with a large external field, J. Math. Phys., t. 18, 1977, p. 894-897. | MR 441147
,[24] Connection between the spectrum condition and the Lorentz invariance of the Yukawa2 quantum field theory, Commun. Math. Phys., t. 57, 1977, p. 111-116. | MR 503217
,[25] Notes on infinite determinants of Hilbert space operators, Adv. Math., t. 24, 1977, p. 244-273. | MR 482328 | Zbl 0353.47008
,[26] On the formula of Matthews and Salam, J. Funct. Anal., t. 25, 1977, p. 162-209. | MR 459403 | Zbl 0414.47010
,[27] The energy-momentum spectrum in the Yukawa2 quantum field theory, Commun. Math. Phys., t. 57, 1977, p. 31-50. | MR 462337
and ,[28] The Yukawa2 quantum field theory: linear Nτ bound, locally Fock property, Preprint TPh-95, Institute for mathematics, Novosibirsk, 1977 and Ann. Inst. H. Poincaré, t. 30A, 1979, p. 193-206. | Numdam
,