https://doi.org/10.1007/s100510050603
Cutoff and lattice effects in the o4 theory of confined systems
1
Institut für Theoretische Physik, Technische Hochschule
Aachen, 52056 Aachen, Germany
2
Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430079, P.R. China
Received:
23
October
1998
Accepted:
2
November
1998
Published online: 15 January 1999
We study cutoff and lattice effects in the O(n) symmetric
theory for a d-dimensional cubic geometry of size
L with periodic boundary conditions. In the large-n limit above
Tc, we show that field theory at finite cutoff
Λ predicts the nonuniversal deviation
from asymptotic bulk critical behavior
that violates finite-size scaling and disagrees with the
deviation 
that we find in the lattice model.
The exponential size dependence requires a non-perturbative treatment
of the model. Our arguments indicate that these results should
be valid for general n and d > 2.
PACS: 05.70.Jk – Critical point phenomena / 64.60.-i – General studies of phase transitions / 75.40.Mg – Numerical simulation studies
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
