Topics in statistical physics involving braids

J. McCabe; T. Wydro

Banach Center Publications (1998)

  • Volume: 42, Issue: 1, page 221-234
  • ISSN: 0137-6934

Abstract

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We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.

How to cite

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McCabe, J., and Wydro, T.. "Topics in statistical physics involving braids." Banach Center Publications 42.1 (1998): 221-234. <http://eudml.org/doc/208807>.

@article{McCabe1998,
abstract = {We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.},
author = {McCabe, J., Wydro, T.},
journal = {Banach Center Publications},
keywords = {braid groups; statistical physics; anyon model; conformal field theory},
language = {eng},
number = {1},
pages = {221-234},
title = {Topics in statistical physics involving braids},
url = {http://eudml.org/doc/208807},
volume = {42},
year = {1998},
}

TY - JOUR
AU - McCabe, J.
AU - Wydro, T.
TI - Topics in statistical physics involving braids
JO - Banach Center Publications
PY - 1998
VL - 42
IS - 1
SP - 221
EP - 234
AB - We review the appearance of the braid group in statistical physics. In particular, we explain its relevance to the anyon model of fractional statistics and conformal field theory.
LA - eng
KW - braid groups; statistical physics; anyon model; conformal field theory
UR - http://eudml.org/doc/208807
ER -

References

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  1. [1] J. M. Leinaas and J. Myhreim, Il Nuovo Cimento 37B (1977) 1. 
  2. [2] Y.-S. Wu, Phys. Rev. Lett. 52 (1984) 2103; J. Birman, Links, Braids and Mapping Class Groups (Princeton University Press 1974). 
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  4. [4] for a review see: F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific 1990); A. Comtet, J. McCabe, and S. Ouvry, Images de la Physique (1992) 21. 
  5. [5] see generally: M. Sporre, J. J. Verbaarshot, and I. Zahed, Phys. Rev. Lett. 67 (1991) 1817; G. V. Dunne, A. Lerda, and C. A. Trugenberger, Int. J. of Mod. Phys. B5 (1991) 1675; ibid Nucl. Phys. B370 (1992) 601; A. Khare, J. McCabe, and S. Ouvry, Phys. Rev. D46 (1992) 2714. 
  6. [6] R. B. Laughlin, Phys. Rev. Lett. 60 (1988) 2677; Y.-H. Chen, F. Wilczek, E. Witten, and B. I. Halperin, Int. J. of Mod. Phys. B3 (1989) 1001. 
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  8. [8] A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Nucl. Phys. B241 (1984) 333; for a review see articles of P. Ginsparg and J. Cardy in Les Houches Summer School 1988 (Eds. E. Brezin and J. Zinn-Justin). 
  9. [9] D. Friedan, Z. Qiu, and S. Shenker, Phys. Rev. Lett. 52 (1984) 1575. 
  10. [10] Vl. S. Dotsenko and V. Fateev, Nucl. Phys. B240 (1984) 312; ibid, B251 (1985) 691; Vl. Dotsenko, Nucl. Phys. B235 (1984) 54; J. McCabe and T. Wydro, ENSLAPP-L-526/95 (cond-mat/9507033). 
  11. [11] G. Von Gehlen, V. Rittenberg, and T. Vescan, J. of Physics A20 (1987) 2577; G. T. Barkema and J. McCabe, J. Stat. Phys. 84 (1996) 1067. 
  12. [12] V. Kac, Lecture Notes in Physics 94 (Springer 1979). 
  13. [13] G. Moore and N. Seiberg, Phys. Lett. 212B (1988) 451; also in Superstrings 1989 (Eds. M. Green, R. Iengo, S. Randjbar-Daemi, E. Sezgin, and A. Strominger) 1. 
  14. [14] L. Alvarez-Gaume, C. Gomez, and G. Sierra, in Physics and Mathematics of Strings (Eds. L. Brink, D. Friedan, and A.M. Polyakov) 16. Zbl0689.17009

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