Antiferromagnetic 4-d O(4) Model

Abstract

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.

26 pages LaTeX2e, 7 figures. The possibility of logarithmic corrections has been considered, new figures and tables added. Accepted for publication in Physical Review D

References in corpus (2)

• New Universality Class in three dimensions: the Antiferromagnetic $R{P}^2$ model
• On the Four-Dimensional Diluted Ising Model

Cited by in corpus (11)

• Finite Size Scaling for O(N) phi^4-Theory at the Upper Critical Dimension
• The antiferromagnetic phi4 Model, I. The Mean-field Solution
• A study of the phase transition in 4D pure compact U(1) LGT on toroidal and spherical lattices
• Periodic ground state for the charged massive Schwinger model
• The antiferromagnetic phi4 Model, II. The one-loop renormalization
• On the SU(2)-Higgs Phase Transition
• Is trivial the antiferromagnetic RP(2) model in four dimensions?
• Periodic vacuum and particles in two dimensions
• Spontaneous breakdown of Lorentz symmetry in scalar QED with higher order derivatives
• Wegner-Houghton equation in low dimensions
• Antiferromagnetic O(N) models in four dimensions