Asymptotic fields for approximated renormalized two-dimensional Yukawa model
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 323-332
Cet article a éte moissonné depuis la source Math-Net.Ru
The renormalized Yukawa theory in the two-dimensional space-time is considered. The existence of asymptotical limits of the creation-annihilation operators is proved. It is also shown that the commutation relations of these asymptotical operators with the total Hamiltonian are of the same form as those of the usual creation-annihilation operators with the free Hamiltonian. This provides us with some information about the spectrum of the total Hamiltonian.
@article{TMF_1971_9_3_a2,
author = {Ya. M. Yakymiv},
title = {Asymptotic fields for approximated renormalized two-dimensional {Yukawa} model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--332},
year = {1971},
volume = {9},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a2/}
}
Ya. M. Yakymiv. Asymptotic fields for approximated renormalized two-dimensional Yukawa model. Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 323-332. http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a2/
[1] J. Glimm, A. Jaffe, Ann. of Phys., 60 (1970), 321 | DOI | MR | Zbl
[2] J. Glimm, Commun. Math. Phys., 5 (1967), 343 | DOI | MR | Zbl
[3] A. Jaffe, “Progress in Quantum Field Theory”, The High Energy Physics Conference, Kiev, 1970
[4] R. Höegh-Krohn, J. Math. Phys., 9 (1968), 2075 | DOI | MR
[5] R. Höegh-Krohn, J. Math. Phys., 10 (1969), 639 | DOI
[6] R. Höegh-Krohn, Commun. Math. Phys., 12 (1969), 216 | DOI | MR
[7] R. Höegh-Krohn, On the Spectrum of the Cut-Off: $\varphi_2^4$: Hamiltonian in Two Space-Time Dimensions, Preprint, 1970 | MR | Zbl
[8] Y. Kato, N. Mugibayashi, Progr. Theor. Phys., 30 (1963), 103 | DOI | MR