RT Journal Article T1 Is the antiferromagnetic RP^(2) model in four dimensions trivial? A1 Ballesteros, H. G. A1 Carmona, J. M. A1 Fernández Pérez, Luis Antonio A1 Martín Mayor, Víctor A1 Muñoz Sudupe, Antonio A1 Tarancón, A. AB We study the antiferromagnetic RP^(2) model in four dimensions. We find a second order transition with two order parameters, one ferromagnetic and the other antiferromagnetic. The antiferromagnetic sector has mean- field critical exponents and a renormalized coupling which goes to zero in the continuum limit. The exponents of the ferromagnetic channel are not the mean-field ones, but the difference can be interpreted as logarithmic corrections. We perform a detailed analysis of these corrections and conclude the triviality of the continuum limit of this model. PB Amer Physical Soc SN 1550-7998 YR 1997 FD 1997-04-15 LK https://hdl.handle.net/20.500.14352/60088 UL https://hdl.handle.net/20.500.14352/60088 LA eng NO @1# M. Lu¨scher and P. Weisz, Nucl. Phys. B290, 25 ~1987!; B295,65 ~1988!; B318, 705 ~1989!.@2# G. Gallavotti and V. Rivasseau, Phys. Lett. 122B, 268 ~1983!.@3# S. Caracciolo, R. G. Edwards, A. Pelisetto, and A. D. Sokal, inLattice ’92, Proceedings of the International Symposium, Amsterdam,The Netherlands, edited by J. Smith and P. van Baal@Nucl. Phys. B ~Proc. Suppl.! 30, 815 ~1993!#; J. L. Alonso, A.Tarancón, H. G. Ballesteros, L. A. Fernández, V. Martín Mayor,and A. Muñoz Sudupe, Phys. Rev. B 53, 2537 ~1996!;M. L. Plummer and A. Caille´, J. Appl. Phys. 70, 5961 ~1991!;H. Kawamura, J. Phys. Soc. Jpn. 61, 1299 ~1992!.@4# J. L. Alonso, J. M. Carmona, J. Clemente Gallardo, L. A.Fernández, D. Iñíguez, A. Tarancón, and C. L. Ullod, Phys.Lett. B 376, 148 ~1996!; I. Campos, L. A. Fernández, and A.Tarancón, Phys. Rev. D 55, 2965 ~1997!; Y. Shamir, ReportNo. hep-lat/9512019 ~unpublished!; J. Fingberg and J. Polonyi,Nucl. Phys. B ~to be published!.@5# G. Kohring and R. E. Shrock, Nucl. Phys. B295, 36 ~1988!.@6# H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, and A.Muñoz Sudupe, Phys. Lett. B 378, 207 ~1996!; Nucl. Phys.B483, 707 ~1997!.@7# H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, and A.Muñoz Sudupe, Phys. Lett. B 387, 125 ~1996!.@8# P. Azaria, B. Delamotte, and T. Jolicoeur, Phys. Rev. Lett. 64,3175 ~1990!; P. Azaria, B. Delamotte, F. Delduc, and T. Jolicoeur,Nucl. Phys. B408, 485 ~1993!.@9# F. Cooper, B. Freedman, and D. Preston, Nucl. Phys. B210,210 ~1982!.@10# A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61,2635 ~1988!.@11# E. Bre´zin, J. Phys. ~France! 43, 15 ~1982!.@12# K. Binder, Z. Phys. B 43, 119 ~1981!.@13# R. Kenna and C. B. Lang, Phys. Lett. B 264, 396 ~1991!; Nucl.Phys. B393, 461 ~1993!; in Lattice ’92 @3#, p. 697.@14# R. Ferna´ndez, J. Fro¨lich, and A. D. Sokal, Random Walks,Critical Phenomena, and Triviality in Quantum Field Theory~Springer-Verlag, Berlin, 1992!.@15# E. Bre´zin, J. C. Le Guillou, and J. Zinn-Justin, in Phase Transitionsand Critical Phenomena, edited by C. Domb and M. S.Green ~Academic, London, 1976!, Vol. 6. NO © 1997 The American Physical Society. We thank J. L. Alonso and J. J. Ruiz-Lorenzo for many enlightening discussions. This work was partially supported by CICyT AEN93-0604, AEN94-0218, and AEN95-1284-E. NO CICyT, Spain DS Docta Complutense RD 27 abr 2024