On the renormalization group iteration of a two-dimensional hierarchical non-linear O ( N ) σ -model

A. Pordt; T. Reisz

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 55, Issue: 1, page 545-587
  • ISSN: 0246-0211

How to cite

top

Pordt, A., and 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 55.1 (1991): 545-587. <http://eudml.org/doc/76540>.

@article{Pordt1991,
author = {Pordt, A., Reisz, T.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {two-dimensional non-linear O(N) -model; renormalization group transformations},
language = {eng},
number = {1},
pages = {545-587},
publisher = {Gauthier-Villars},
title = {On the renormalization group iteration of a two-dimensional hierarchical non-linear $O(N) \sigma $-model},
url = {http://eudml.org/doc/76540},
volume = {55},
year = {1991},
}

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
PB - Gauthier-Villars
VL - 55
IS - 1
SP - 545
EP - 587
LA - eng
KW - two-dimensional non-linear O(N) -model; renormalization group transformations
UR - http://eudml.org/doc/76540
ER -

References

top
  1. [1] E. Brezin, J.C. Le Guillou and J. Zinn-Justin, Phys. Rev., Vol D14, 1976, p. 2615. 
  2. [2] E. Brezin and J. Zinn-Justin, Phys. Rev., Vol. B14, 1976, p.3110. 
  3. [3] E. Brezin and J. Zinn-Justin, Phys. Rev. Lett., Vol. 36, 1976, p. 691. 
  4. [4] J. Kogut and K.G. Wilson, Phys. Rep., Vol. C12, 1974, p. 75. 
  5. [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. [6] G. Mack, Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988. MR1008272
  7. [7] K. Gawedzki and A. Kupiainen, Commun. Math. Phys., Vol. 99, 1985, p. 197, and Phys. Rev. Lett., Vol. 54, 1985, p. 92. MR790736
  8. [8] K. Gawedzki and A. Kupiainen, Commun. Math. Phys., Vol. 106, 1986, p. 533. MR860308
  9. [9] P.K. Mitter and T.R. Ramadas, Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988. MR1008272
  10. [10] K. Gawedzki and A. Kupiainen, Commun. Math. Phys., Vol. 89, 1983, p. 191. Zbl0542.60095MR709462
  11. [11] K. Gawedzki and A. Kupiainen, J. Stat. Phys., Vol. 29, 1982, p. 683. MR693402
  12. [12] V.F. Müller and J. Schiemann, Lett. Math. Phys., Vol. 15, 1988, p. 289. Zbl0664.43004MR952451
  13. [13] V.F. Müller and J. Schiemann, Commun. Math. Phys., Vol. 97, 1985, p. 605. MR787122
  14. [14] V.F. Müller and J. Schiemann, Commun. Math. Phys., Vol. 110, 1986, p. 26. MR887999
  15. [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. [16] H.J. Timme, DESY 88-048. 
  17. [17] H.J. Timme, DESY 89-110. 
  18. [18] G. Mack and A. Pordt, Commun. Math. Phys., Vol. 97, 1985, p. 267. MR782970
  19. [19] A. Pordt, Cargese Lect., July 1987, in Nonperturbative Quantum Field Theory, Plenum Press, N.Y., 1988 and DESY 88-040. MR1008292
  20. [20] A. Pordt, Convergent multigrid polymer expansions and renormalization for Euclidean field theory, Ph. D. Thesis, Hamburg, 1989, DESY 90-020. 
  21. [21] P.K. Mitter and T.R. Ramadas, Commun. Math. Phys., Vol. 122, 1989, p. 575. Zbl0699.58067MR1002832
  22. [22] S. Elitzur, Nucl. Phys., Vol. B212, 1983, p. 501. 
  23. [23] J. Glimm and A. Jaffe, Quantum Physics. A Functional Integral Point of View, Springer, Heidelberg, 1981. Zbl0461.46051MR628000
  24. [24] K. Gawedzki and A. Kupiainen, Asymptotic Freedom beyond Perturbation Theory, Lectures given at Les Houches Summer School, 1984. Zbl0706.47039
  25. [25] F. David, Commun. Math. Phys., Vol. 81, 1981, p. 149. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.