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Abstract
We study the chirality in the Villain form of the XY
spin glass in two--dimensions by Monte Carlo simulations. We calculate
the chiral-glass correlation length exponent $\nu_{\scriptscriptstyle
CG}$ and find that $\nu_{\scriptscriptstyle CG} = 1.8 \pm 0.3$ in
reasonable agreement with earlier studies. This indicates that the
chiral and phase variables are decoupled on long length scales and
diverge as $T \to 0$ with {\em different} exponents, since the
spin-glass correlation length exponent was found, in earlier studies,
to be about 1.0.
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