Dirac operator and Ising model on a compact 2D random lattice
Bogacz L, Burda Z, Jurkiewicz J, Krzywicki A, Petersen C, Petersson B (2001)
ACTA PHYSICA POLONICA B 32(12): 4121-4168.
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Autor*in
Bogacz, L;
Burda, Z;
Jurkiewicz, J;
Krzywicki, A;
Petersen, C;
Petersson, BengtUniBi
Abstract / Bemerkung
Lattice formulation of a fermionic field theory defined on a randomly triangulated compact manifold is discussed, with emphasis on the topological problem of defining spin structures on the manifold. An explicit construction is presented for the two-dimensional case and its relation with the Ising model is discussed. Furthermore, an exact realization of the Kramers-Wannier duality for the two-dimensional Ising model on the manifold is considered. The global properties of the field are discussed. The importance of the GSO projection is stressed. This projection has to be performed for the duality to hold.
Erscheinungsjahr
2001
Serien- oder Zeitschriftentitel
ACTA PHYSICA POLONICA B
Band
32
Ausgabe
12
Seite(n)
4121-4168
ISSN
0587-4254
Page URI
https://pub.uni-bielefeld.de/record/1615448
Zitieren
Bogacz L, Burda Z, Jurkiewicz J, Krzywicki A, Petersen C, Petersson B. Dirac operator and Ising model on a compact 2D random lattice. ACTA PHYSICA POLONICA B. 2001;32(12):4121-4168.
Bogacz, L., Burda, Z., Jurkiewicz, J., Krzywicki, A., Petersen, C., & Petersson, B. (2001). Dirac operator and Ising model on a compact 2D random lattice. ACTA PHYSICA POLONICA B, 32(12), 4121-4168.
Bogacz, L, Burda, Z, Jurkiewicz, J, Krzywicki, A, Petersen, C, and Petersson, Bengt. 2001. “Dirac operator and Ising model on a compact 2D random lattice”, ACTA PHYSICA POLONICA B, 32 (12): 4121-4168.
Bogacz, L., Burda, Z., Jurkiewicz, J., Krzywicki, A., Petersen, C., and Petersson, B. (2001). Dirac operator and Ising model on a compact 2D random lattice. ACTA PHYSICA POLONICA B 32, 4121-4168.
Bogacz, L., et al., 2001. Dirac operator and Ising model on a compact 2D random lattice. ACTA PHYSICA POLONICA B, 32(12), p 4121-4168.
L. Bogacz, et al., “Dirac operator and Ising model on a compact 2D random lattice”, ACTA PHYSICA POLONICA B, vol. 32, 2001, pp. 4121-4168.
Bogacz, L., Burda, Z., Jurkiewicz, J., Krzywicki, A., Petersen, C., Petersson, B.: Dirac operator and Ising model on a compact 2D random lattice. ACTA PHYSICA POLONICA B. 32, 4121-4168 (2001).
Bogacz, L, Burda, Z, Jurkiewicz, J, Krzywicki, A, Petersen, C, and Petersson, Bengt. “Dirac operator and Ising model on a compact 2D random lattice”. ACTA PHYSICA POLONICA B 32.12 (2001): 4121-4168.
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