Is trivial the antiferromagnetic RP(2) model in four dimensions?

Abstract

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.

21 pages, 5 figures, LaTeX2e

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• Finite size effects on measures of critical exponents in d=3 O(N) models
• New Universality Class in three dimensions: the Antiferromagnetic $R{P}^2$ model
• A Monte Carlo study of O(3) antiferromagnetic models in three dimensions
• Phase diagram of d=4 Ising Model with two couplings
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Cited by in corpus (8)

• Finite Size Scaling for O(N) phi^4-Theory at the Upper Critical Dimension
• The antiferromagnetic phi4 Model, I. The Mean-field Solution
• Periodic ground state for the charged massive Schwinger model
• The antiferromagnetic phi4 Model, II. The one-loop renormalization
• 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