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The RP(2) gauge model is studied in 2D. We use Monte-Carlo renormalizationtechniques for blocking the mean spin-spin interaction, <A>, and the mean gaugefield plaquette, <P>. The presence of the O(3) renormalized trajectory isverified and is consistent with the known three-loop beta-function. Thefirst-order `vorticity' transition observed by Solomon et al. is confirmed, andthe location of the terminating critical point is established. New scalingflows in (<A>,<P>) are observed associated with a large exponent kappa in therange 4~5. The scaling flows give rise to a strong cross-over effect betweenregions of high and low vorticity and are likely to induce an apparent signalfor scaling in the cross-over region which we propose explains the scalingobserved for RP(2), RP(3) and SO(4)-matrix models. The signal for this `pseudo'scaling will occur for the RP(2) spin model in the cross-over region which isthe region in which computer simulations are done. We find that the RP(2) spinmodel is in the same universality class as the O(3) spin model but that it islikely to require a very large correlation length before the true scaling ofthis class sets in. We conjecture that the scaling flows are due either to theinfluence of a nearby new renormalized trajectory or to the ghost of theKosterlitz-Thouless trajectory in the associated XY model.Comment: 29 pages, LATEX2e, 10 figures, uses styles[epsfig,latexsym

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Nature of the continuum limit in the 2D<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">RP</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>gauge model

Nature of the continuum limit in the 2DRP2gauge model