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t Hooft limit (1, 2, 3, ···∞) - Theoretical Physics (TIFR)

t Hooft limit (1, 2, 3, ···∞) - Theoretical Physics (TIFR)

t Hooft limit (1, 2, 3, ···∞) - Theoretical Physics (TIFR)

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Outline T c<br />

Main results<br />

Latent heat EOS Summary<br />

◮ Location of deconfining first order transition measured with<br />

high accuracy. Yields high precision test of RG scaling and ’t<br />

<strong>Hooft</strong> scaling. ’t <strong>Hooft</strong> coupling at T c has large 1/N c<br />

corrections near N c = 3. Signs of breakdown of the ’t <strong>Hooft</strong><br />

procedure.<br />

◮ New method developed for determination of latent heat in<br />

gluoN c plasmas. Find<br />

∆ǫ<br />

T A T 4 c<br />

= 0.388(3) − 1.61(4)<br />

Nc<br />

2 .<br />

◮ Strong N c scaling works very well for EOS. Conformal<br />

symmetry strongly broken up to T ≃ 3T c . Resummed weak<br />

coupling theory works much better in description of lattice<br />

data.<br />

SG<br />

Large N c Thermodynamics

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