RT Journal Article T1 Antiferromagnetic O(N) models in four dimensions A1 Ballesteros, H. G. A1 Carmona, J. M. A1 Fernández Pérez, Luis Antonio A1 Tarancón, A. AB 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. PB Elsevier Science BV SN 0370-2693 YR 1998 FD 1998-02-12 LK https://hdl.handle.net/20.500.14352/60084 UL https://hdl.handle.net/20.500.14352/60084 LA eng NO 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. NO © 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. NO CICyT, Spain NO Spanish MEC DS Docta Complutense RD 27 jul 2024