@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'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {159--192}, publisher = {Gauthier-Villars}, volume = {30}, number = {3}, year = {1979}, mrnumber = {546185}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1979__30_3_159_0/} }
TY - JOUR AU - Osipov, Edward P. TI - The Yukawa quantum field theory : linear $N_\tau $ bound, locally Fock property JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1979 SP - 159 EP - 192 VL - 30 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1979__30_3_159_0/ LA - en ID - AIHPA_1979__30_3_159_0 ER -
%0 Journal Article %A Osipov, Edward P. %T The Yukawa quantum field theory : linear $N_\tau $ bound, locally Fock property %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1979 %P 159-192 %V 30 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1979__30_3_159_0/ %G en %F AIHPA_1979__30_3_159_0
Osipov, Edward P. The Yukawa quantum field theory : linear $N_\tau $ bound, locally Fock property. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 30 (1979) no. 3, pp. 159-192. http://www.numdam.org/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
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
,[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
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
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
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
and ,[8] The Green's functions of quantized fields, Nuovo Cimento, t. 12, 1954, p. 563-565. | Zbl
and ,[9] Propagators of quantized fields, Nuovo Cimento, t. 2, 1955, p. 120-134. | MR | Zbl
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
,[11] On finite mass renormalizations in the two-dimensional Yukawa model, J. Math. Phys., t. 16, 1975, p. 2289-2293. | MR
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 | Zbl
and ,[13] Volume dependence of Schwinger functions in the Yukawa2 quantum field theory, Commun. Math. Phys., t. 45, 1975, p. 279-294. | MR
,[14] The P(φ)2 euclidean (quantum) field theory, Princeton University Press, 1974. | MR
,[15] The characterization of gaussian fields with the Markov property (in Russian), Dokladi AN SSSR, t. 197, 1971, p. 784-787. | MR | Zbl
,[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
, 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 | Zbl
and ,[19] Perturbation theory for linear operators, Springer, Berlin-Heidelberg- New York, 1966. | MR | Zbl
,[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
and ,[21] Linear Operators, vol. II, Interscience, New York, 1963. | MR | Zbl
and ,[22] The weakly coupled Yukawa2 field theory: cluster expansion and Wightman axioms, Trans. Amer. Math. Soc., t. 234, 1977, p. 1-88. | MR
and ,[23] Construction of the Yukawa2 field theory with a large external field, J. Math. Phys., t. 18, 1977, p. 894-897. | MR
,[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
,[25] Notes on infinite determinants of Hilbert space operators, Adv. Math., t. 24, 1977, p. 244-273. | MR | Zbl
,[26] On the formula of Matthews and Salam, J. Funct. Anal., t. 25, 1977, p. 162-209. | MR | Zbl
,[27] The energy-momentum spectrum in the Yukawa2 quantum field theory, Commun. Math. Phys., t. 57, 1977, p. 31-50. | MR
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
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