Random Matrix Theory for QCD
Random Matrix Theory for QCD
Random Matrix Theory for QCD
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<strong>Random</strong> <strong>Matrix</strong> <strong>Theory</strong> <strong>for</strong> <strong>QCD</strong> – p. 28/30<br />
a ≠ 0<br />
Aoki phase (parity broken phase)<br />
X<br />
Im(z)<br />
X<br />
_<br />
< ψ ψ >(m)<br />
X<br />
X<br />
X<br />
X<br />
X<br />
X<br />
X<br />
X<br />
X<br />
Re(z)<br />
_<br />
< ψ ψ >=0<br />
m<br />
X<br />
X<br />
X<br />
X<br />
X<br />
Electrostatic analogy:<br />
Eigenvalues = charges, quark mass = test charge<br />
Aoki PRD 30 2653 (1984)<br />
Barbour et al. NPB 275 (1986) 296 (nonzero µ)