Antiferromagnetic O(N) models in four dimensions

Ballesteros, H. G.; Carmona, J. M.; Fernández Pérez, Luis Antonio; Tarancón, A.

Antiferromagnetic O(N) models in four dimensions

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Official URL

http://doi.org/10.1016/S0370-2693(97)01292-6

Publication date

1998

Authors

Ballesteros, H. G.

Carmona, J. M.

Fernández Pérez, Luis Antonio

Tarancón, A.

Publisher

Elsevier Science BV

Citations

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URI

https://hdl.handle.net/20.500.14352/60084

Citation

1) G. Gallavotti, V. Rivasseau, Phys. Lett. B, 122, 1983, 268. 2) J.L. Alonso, J.M. Carmona, J. Clemente Gallardo, L.A. Fernández, D. Íñiguez, A. Tarancón, C.L. Ullod, Phys. Lett. B, 376, 1996, 148. 3) I. Campos, L.A. Fernández, A. Tarancón, Phys. Rev., D55, 1997 2965. 4) H.G. Ballesteros, J.M. Carmona, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, A. Tarancón. Phys. Rev., D55, 1997, 5067. 5) V. Branchina, H. Mohrbach, J. Polonyi, hep-thr9612110 -- ibid., hep-thr9612111. 6) D.J.E. Callaway, Phys. Rep., 167, no. 5, 1988, 241 -- R. Fernández, J. Frolich, A.D. Sokal, Random Walks, Critical Phenomena and Triviality in Quantum Field Theory, Springer-Verlag, 1992. 7) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett., B378, 1996, 207 -- ibid., Nucl. Phys., B483, 1997, 707. 8) J.L. Alonso, A. Tarancón, H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Rev., B53, 1996, 2537. 9) J.L. Cardy Ed., Finite-Size Scaling, North-Holland, 1988. 10) M.E. Fisher, A. Nihat Berker, Phys. Rev., B26, 1982, 2507. 11) A.M. Ferrenberg, R.H. Swendsen, Phys. Rev. Lett., 61, 1988, 2635. 12) L.A. Fernández, M.P. Lombardo, J.J. Ruiz-Lorenzo, A. Tarancón, Phys. Lett. B, 277, 1992, 485. 13) C. Itzykson, J-M. Drouffe, Theorie statistique des champs (InterEditions, 1989 Paris), page 138.

Abstract

We study the antiferromagnetic O(N). N model in the F_(4) lattice. Monte Carlo simulations are applied for investigating the behavior of the transition for N = 2,3. The numerical results show a first order nature but with a large correlation length. The N = ∞ limit is also considered with analytical methods.

Description

© 1998 Elsevier Science B.V.We thank to the CICyT (contracts AEN94-0218, AEN96-1634) for partial financial support. We have employed for the simulations dedicated Pentium Pro machines (RTNN project). J.M. Carmona is a Spanish MEC fellow.