@article{AIHPA_1979__31_3_173_0, author = {Koch, Hans}, title = {Irreducible kernels and bound states in $\lambda \mathcal {P}(\varphi )_2$ models}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {173--234}, publisher = {Gauthier-Villars}, volume = {31}, number = {3}, year = {1979}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1979__31_3_173_0/} }
TY - JOUR AU - Koch, Hans TI - Irreducible kernels and bound states in $\lambda \mathcal {P}(\varphi )_2$ models JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1979 SP - 173 EP - 234 VL - 31 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1979__31_3_173_0/ LA - en ID - AIHPA_1979__31_3_173_0 ER -
%0 Journal Article %A Koch, Hans %T Irreducible kernels and bound states in $\lambda \mathcal {P}(\varphi )_2$ models %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1979 %P 173-234 %V 31 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1979__31_3_173_0/ %G en %F AIHPA_1979__31_3_173_0
Koch, Hans. Irreducible kernels and bound states in $\lambda \mathcal {P}(\varphi )_2$ models. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 31 (1979) no. 3, pp. 173-234. http://archive.numdam.org/item/AIHPA_1979__31_3_173_0/
[B] Some analytic properties implied by the two-particle structure of Green's functions in general quantum field theory. In: R. P. Gilbert and R. G. Newton (Eds.), Analytic methods in mathematical physics. Gordon and Breach, New York, London, Paris, 1970. | MR | Zbl
,[BL] Analytic properties and many-particle structure in general quantum field theory. Commun. Math. Phys., t. 36, 1974, p. 185; t. 43, 1975, p. 279; t. 54, 1977, p. 33.
, ,[CD] n-Particle irreducible functions in Euclidean quantum field theory. Preprint. | MR
, ,[D] Asymptotic perturbation expansions in the P(φ)2 quantum field theory. Commun. Math. Phys., t. 35, 1974, p. 347. | MR
,[DE I] On the bound state in weakly coupled λ(φ6 - φ4)2. Commun. Math. Phys., t. 51, 1976, p. 41. | MR
, ,[DE II] Spectral properties and bound state scattering for weakly coupled λP(φ)2 models. Ann. of Phys., vol. 103, n° 2, 1977, p. 289. | MR
, ,[DG] Measures on Schwartz distribution space and applications to P(φ)2 field theories. Adv. Math., t. 12, 1974, p. 58. | MR | Zbl
, ,[EEF] Asymptotic perturbation expansion for the S-matrix and the definition of time ordered functions in relativistic quantum field models. Ann. Inst. Henri Poincaré, vol. XXV, n° 1, 1976, p. 1. | Numdam | MR
, , ,[EMS] Decay properties and Borel summability for the Schwinger functions in P(φ)2 theories. Commun. Math. Phys., t. 39, 1975, p. 251. | MR
, , ,[GJ I] Particles and bound states and progress toward unitarity and scaling. In: H. Araki (Ed.), International symposium on mathematical problems in theoretical physics. Springer lecture notes in physics, vol. 29, Berlin, Heidelberg, New York, 1975. | MR
, ,[GJ II] The resummation of one particle lines. Preprint. | MR
, ,[GJS I] The Wightman axioms and particle structure in the P(φ)2 quantum field model. Ann. Math., t. 100, 1974, p. 585. | MR
, , ,[GJS II] The particle structure of the weakly coupled P(φ)2 model and other applications of high temperature expansions. In: G. Velo and A. Wightman (Eds,), Constructive quantum field theory. Springer lecture notes in physics, vol. 25, Berlin, Heidelberg, New York, 1973. | MR
, , ,[OS] The scattering matrix is non-trivial for weakly coupled P(φ)2 models. Helv. Phys. Acta, t. 49, 1976, p. 525. | MR
, ,[OSCH] Axioms for Euclidean Green's functions. Commun. Math. Phys., t. 31, 1973, p. 83; t. 42, 1975, p. 281. | Zbl
, ,[SCH] Local operator products and field equations in P(φ)2 theories. Fortschr. Phys., t. 22, 1974, p. 611. | MR
,[S I] The mass gap for the P(φ)2 field model with a strong external field. Commun. Math. Phys., t. 39, 1974, p. 63. | MR
,[S II] The decay of the Bethe-Salpeter kernel in P(φ)2 quantum field models. Commun. Math. Phys., t. 44, 1975, p. 143. | MR
,[SZ] Scattering states and bound states in λP(φ)2. Commun. Math. Phys., t. 49, 1976, p. 1. | MR
, ,[SY] On the many-particle structure of Green's functions in quantum field theory. J. Math. Phys., t. 1, 1960, p. 249. | MR
,[T] Topological vector spaces, distributions and kernels. Academic Press, New York, London, 1967. | MR | Zbl
,