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. 24/30<br />
The Wilson RMT partition function<br />
Z ν N f<br />
≡<br />
Z<br />
dW det(iD W + m) N f<br />
e − N 2 Tr(A2 +B 2 )−NTrW † W<br />
where<br />
iD W + m =<br />
0<br />
@ aA + m<br />
iW †<br />
iW<br />
aB + m<br />
1<br />
A<br />
same flavor symmetries as Wilson <strong>QCD</strong> and same breaking by m and a<br />
Same low energy theory<br />
Damgaard Splittorff Verbaarschot PRL 105, 162002 (2010)
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