Critical properties of the Antiferromagnetic \RP2$ model in three dimensions

Details Critical properties of the Antiferromagnetic \RP2$ model in three dimensions Critical properties of the Antiferromagnetic \RP2$ model in three dimensions

1996-05-28

arxiv.org/abs/hep-lat/9605037v1

Nucl.Phys.B483:707-736,1997

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, 10 postscript figures

Scientific paper

10.1016/S0550-3213(96)00555-X

We study the behavior of the antiferromagnetic RP$^2$ model in $d=3$. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical point we observe a full breakdown of the O(3) symmetry of the action. Several methods for computing critical exponents are compared. We conclude that the most solid determination is obtained using a measure of the correlation length. Corrections-to-scaling are parameterized, yielding a very accurate determination of the critical coupling and a 5\% error measure of the related exponent. This is used to estimate the systematic errors due to finite-size effects.

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