@article{AIHPA_1991__55_1_545_0,
author = {Pordt, A. and Reisz, T.},
title = {On the renormalization group iteration of a two-dimensional hierarchical non-linear $O(N) \sigma $-model},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {545--587},
publisher = {Gauthier-Villars},
volume = {55},
number = {1},
year = {1991},
zbl = {0734.58052},
language = {en},
url = {http://archive.numdam.org/item/AIHPA_1991__55_1_545_0/}
}
TY - JOUR AU - Pordt, A. AU - Reisz, T. TI - On the renormalization group iteration of a two-dimensional hierarchical non-linear $O(N) \sigma $-model JO - Annales de l'I.H.P. Physique théorique PY - 1991 SP - 545 EP - 587 VL - 55 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1991__55_1_545_0/ LA - en ID - AIHPA_1991__55_1_545_0 ER -
%0 Journal Article %A Pordt, A. %A Reisz, T. %T On the renormalization group iteration of a two-dimensional hierarchical non-linear $O(N) \sigma $-model %J Annales de l'I.H.P. Physique théorique %D 1991 %P 545-587 %V 55 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1991__55_1_545_0/ %G en %F AIHPA_1991__55_1_545_0
Pordt, A.; Reisz, T. On the renormalization group iteration of a two-dimensional hierarchical non-linear $O(N) \sigma $-model. Annales de l'I.H.P. Physique théorique, Tome 55 (1991) no. 1, pp. 545-587. http://archive.numdam.org/item/AIHPA_1991__55_1_545_0/
[1] , and , Phys. Rev., Vol D14, 1976, p. 2615.
[2] and , Phys. Rev., Vol. B14, 1976, p.3110.
[3] and , Phys. Rev. Lett., Vol. 36, 1976, p. 691.
[4] and , Phys. Rep., Vol. C12, 1974, p. 75.
[5] , Seoul Grp. Theo. Math., 1985:98 and DESY 85-111, talk presented at the 14th International Colloquium on Group Theoretical Methods in Physics, Seoul, Korea, 1985.
[6] , Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988. | MR
[7] and , Commun. Math. Phys., Vol. 99, 1985, p. 197, and Phys. Rev. Lett., Vol. 54, 1985, p. 92. | MR
[8] and , Commun. Math. Phys., Vol. 106, 1986, p. 533. | MR
[9] and , Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988. | MR
[10] and , Commun. Math. Phys., Vol. 89, 1983, p. 191. | MR | Zbl
[11] and , J. Stat. Phys., Vol. 29, 1982, p. 683. | MR
[12] and , Lett. Math. Phys., Vol. 15, 1988, p. 289. | MR | Zbl
[13] and , Commun. Math. Phys., Vol. 97, 1985, p. 605. | MR
[14] and , Commun. Math. Phys., Vol. 110, 1986, p. 26. | MR
[15] , Universality of the Continuum Limit of Effective Actions and Asymptotic Scaling Behaviour of the String Constant in a Hierarchical SU (2) Lattice Gauge Model in Four Dimensions (in German), Ph. D. Thesis, Kaiserslautern, 1987.
[16] , DESY 88-048.
[17] , DESY 89-110.
[18] and , Commun. Math. Phys., Vol. 97, 1985, p. 267. | MR
[19] , Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988 and DESY 88-040. | MR
[20] , Convergent multigrid polymer expansions and renormalization for Euclidean field theory, Ph. D. Thesis, Hamburg, 1989, DESY 90-020.
[21] and , Commun. Math. Phys., Vol. 122, 1989, p. 575. | MR | Zbl
[22] , Nucl. Phys., Vol. B212, 1983, p. 501.
[23] and , Quantum Physics. A Functional Integral Point of View, Springer, Heidelberg, 1981. | MR | Zbl
[24] and , Asymptotic Freedom beyond Perturbation Theory, Lectures given at Les Houches Summer School, 1984. | Zbl
[25] , Commun. Math. Phys., Vol. 81, 1981, p. 149.
