Loops, surfaces and grassmann representation in two- and three-dimensional ising models

International Journal of Modern Physics A

Volumn 14, Issue 29, 1999, Pages 4549-4574

  Gattringer, C R ^a   Jaimungal, S ^a   Semenoff, G W ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347702496     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X9900213X     Document Type: Article

References (23)

1. M. Kac and J. C. Ward, Phys. Rev. 88, 1332 (1952).
2. R. B. Potts and J. C. Ward, Prog. Theor. Phys. 13, 38 (1955).
3. S. Sherman, J. Math. Phys. 1, 202 (1961); J. Math. Phys. 4, 1213 (1963).
4. S. Sherman, J. Math. Phys. 1, 202 (1961); J. Math. Phys. 4, 1213 (1963).
5. L. D. Landau and E. M. Lifshitz, Statistical Mechanics (Pergamon, New York, 1959); R. P. Feynman, Statistical Mechanics (Benjamin Publishers, Reading, MA, 1972).
6. L. D. Landau and E. M. Lifshitz, Statistical Mechanics (Pergamon, New York, 1959); R. P. Feynman, Statistical Mechanics (Benjamin Publishers, Reading, MA, 1972).
7. E. Fradkin, M. Srednicki and L. Susskind, Phys. Rev. D21, 2885 (1980).
8. S. Samuel, J. Math. Phys. 21, 2806 (1980).
9. S. Samuel, J. Math. Phys. 21, 2820 (1980).
10. C. Itzykson, Nucl. Phys. B210, 448 (1982).
11. C. Itzykson, Nucl. Phys. B210, 477 (1982).
12. Vi. S. Dotsenko and Vl. S. Dotsenko, Adv. Phys. 32, 129 (1983).
13. A. R. Kavalov and A. G. Sedrakyan, Nucl. Phys. B285, 264 (1987).
14. A. Sedrakyan, Phys. Lett. B137, 397 (1984); A. Kavalov and A. Sedrakyan, Phys. Lett. B173, 449 (1986).
15. A. Sedrakyan, Phys. Lett. B137, 397 (1984); A. Kavalov and A. Sedrakyan, Phys. Lett. B173, 449 (1986).
16. A. Casher, D. Foerster and P. Windey, Nucl. Phys. B251, 29 (1985).
17. P. Orland, Phys. Rev. Lett. 59, 2393 (1987).
18. J. Distler, Nucl. Phys. B388, 648 (1992).
19. A. Polyakov, Phys. Lett. B82, 247 (1979); B103, 211 (1981).
20. A. Polyakov, Phys. Lett. B82, 247 (1979); B103, 211 (1981).
21. VI. Dotsenko and A. Polyakov, in Conformal Field Theory and Solvable Lattice Models, Advanced Studies in Pure Mathematics, Vol. 16, eds. M. Jimbo, T. Miwa and A. Tsuchiya (Academic, New York, London, 1988), pp. 171-203; VI. Dotsenko, Nucl. Phys. B285, 45 (1987).
22. VI. Dotsenko and A. Polyakov, in Conformal Field Theory and Solvable Lattice Models, Advanced Studies in Pure Mathematics, Vol. 16, eds. M. Jimbo, T. Miwa and A. Tsuchiya (Academic, New York, London, 1988), pp. 171-203; VI. Dotsenko, Nucl. Phys. B285, 45 (1987).
23. I. Montvay and G. Münster, Quantum Fields on a Lattice (Cambridge University Press, Cambridge, 1994).