We study the phase diagram of the four dimensional O(4) model with first
(beta1) and second (beta2) neighbor couplings, specially in the beta2 < 0
region, where we find a line of transitions which seems to be second order. We
also compute the critical exponents on this line at the point beta1 =0 (F4
lattice) by Finite Size Scaling techniques up to a lattice size of 24, being
these exponents different from the Mean Field ones.Comment: 26 pages LaTeX2e, 7 figures. The possibility of logarithmic
  corrections has been considered, new figures and tables added. Accepted for
  publication in Physical Review 

A. M. Ferrenberg

Alfonso Tarancón

C. Itzykson

D. Brydges

D. E. Callaway

E. Brezin

F. J. Wegner

G. Bhanot

G. Gallavotti

G. Parisi

H. G. Ballesteros

H. Kawamura

H. Mori

Isabel Campos

J. Frolich

J. L. Alonso

J. L. Morán-López

K. Binder

L. A. Fernández

Luis A. Fernández

M. Aizenman

M. L. Plumer

M. Luscher

P. R. Gerber

R. Kenna

S. Weinberg

T. Ebihara

W. Bock

English

arXiv

© 1997 The American Physical Society. The authors are grateful to J. L. Alonso, H. G. Ballesteros, V. Martín-Mayor, J. J. Ruiz-Lorenzo, C. L. Ullod, and D. Íñiguez for helpful discussions and comments. We thank especially J. M. Carmona for useful discussions concerning the logarithmic corrections. One of us (I.C.) wishes to thank R. D. Kenway for this kind hospitality at the Department of Physics and Astronomy, University of Edinburgh, as well as to Edinburgh Parallel Computing Center (EPCC) for computing facilities where part of these computations have been done under the financial support of TRACS-EC program. This work was partially supported by CICyT AEN95-1284, and AEN96-1670. I.C. thanks the Ministerio de Educación y Ciencia for financial support.We study the phase diagram of the four-dimensional O(4) model with first- (β_(1)) and second- (β2) neighbor couplings, especially in the β_(2) < 0 region, where we find a line of transitions which seems to be second order. We also compute the critical exponents on this line at the point β_(1) = 0 (F_(4) lattice) by finite-size scaling techniques up to a lattice size of 24, these exponents being different from the mean-field ones.Edinburgh Parallel Computing Center (EPCC)CICyT (Spain)Ministerio de Educación y Ciencia, SpainDepto. de Física TeóricaFac. de Ciencias FísicasTRUEpu

Campos, Isabel

Fernández Pérez, Luis Antonio

Tarancón, Alfonso

Docta Complutense

Physical Review D

Antiferromagnetic four-dimensional O(4) model

We study the phase diagram of the four-dimensional O(4) model with first- (β1) and second- (β2) neighbor couplings, especially in the β2<0 region, where we find a line of transitions which seems to be second order. We also compute the critical exponents on this line at the point β1=0 (F4 lattice) by finite-size scaling techniques up to a lattice size of 24, these exponents being different from the mean-field ones.One of us (I.C.) wishes to thank R. D. Kenway for this kind hospitality at the Department of
Physics and Astronomy, University of Edinburgh, as well as to Edinburgh Parallel Computing Center (EPCC) 
for computing facilities where part of these computations have been done under the financial support of TRACS-EC program. This work was partially supported by CICyT AEN95-1284, and AEN96-1670. I.C. thanks the Ministerio de Educación y Ciencia for financial support.Peer reviewe

Antiferromagnetic 4-d O(4) Model

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