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 © 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 9 abr 2025