On the renormalization group iteration of a two-dimensional hierarchical non-linear O(N)σ-model
Annales de l'I.H.P. Physique théorique, Volume 55 (1991) no. 1, pp. 545-587.
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     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},
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     number = {1},
     year = {1991},
     zbl = {0734.58052},
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     url = {http://www.numdam.org/item/AIHPA_1991__55_1_545_0/}
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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, Volume 55 (1991) no. 1, pp. 545-587. http://www.numdam.org/item/AIHPA_1991__55_1_545_0/

[1] E. Brezin, J.C. Le Guillou and J. Zinn-Justin, Phys. Rev., Vol D14, 1976, p. 2615.

[2] E. Brezin and J. Zinn-Justin, Phys. Rev., Vol. B14, 1976, p.3110.

[3] E. Brezin and J. Zinn-Justin, Phys. Rev. Lett., Vol. 36, 1976, p. 691.

[4] J. Kogut and K.G. Wilson, Phys. Rep., Vol. C12, 1974, p. 75.

[5] G. Mack, 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] G. Mack, Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988. | MR

[7] K. Gawedzki and A. Kupiainen, Commun. Math. Phys., Vol. 99, 1985, p. 197, and Phys. Rev. Lett., Vol. 54, 1985, p. 92. | MR

[8] K. Gawedzki and A. Kupiainen, Commun. Math. Phys., Vol. 106, 1986, p. 533. | MR

[9] P.K. Mitter and T.R. Ramadas, Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988. | MR

[10] K. Gawedzki and A. Kupiainen, Commun. Math. Phys., Vol. 89, 1983, p. 191. | MR | Zbl

[11] K. Gawedzki and A. Kupiainen, J. Stat. Phys., Vol. 29, 1982, p. 683. | MR

[12] V.F. Müller and J. Schiemann, Lett. Math. Phys., Vol. 15, 1988, p. 289. | MR | Zbl

[13] V.F. Müller and J. Schiemann, Commun. Math. Phys., Vol. 97, 1985, p. 605. | MR

[14] V.F. Müller and J. Schiemann, Commun. Math. Phys., Vol. 110, 1986, p. 26. | MR

[15] J. Schiemann, 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] H.J. Timme, DESY 88-048.

[17] H.J. Timme, DESY 89-110.

[18] G. Mack and A. Pordt, Commun. Math. Phys., Vol. 97, 1985, p. 267. | MR

[19] A. Pordt, Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988 and DESY 88-040. | MR

[20] A. Pordt, Convergent multigrid polymer expansions and renormalization for Euclidean field theory, Ph. D. Thesis, Hamburg, 1989, DESY 90-020.

[21] P.K. Mitter and T.R. Ramadas, Commun. Math. Phys., Vol. 122, 1989, p. 575. | MR | Zbl

[22] S. Elitzur, Nucl. Phys., Vol. B212, 1983, p. 501.

[23] J. Glimm and A. Jaffe, Quantum Physics. A Functional Integral Point of View, Springer, Heidelberg, 1981. | MR | Zbl

[24] K. Gawedzki and A. Kupiainen, Asymptotic Freedom beyond Perturbation Theory, Lectures given at Les Houches Summer School, 1984. | Zbl

[25] F. David, Commun. Math. Phys., Vol. 81, 1981, p. 149.