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Baryonic Spectral Functions at Finite Temperature - Physics

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Hadrons above Tc?<br />

Hadrons above T c<br />

• No a priori reason th<strong>at</strong> no hadrons exist above T c<br />

• QGP looks like strongly interacting system (low viscosity...etc.)<br />

• Definition of <strong>Spectral</strong> Function (SPF)<br />

ρ<br />

J<br />

μν<br />

μ<br />

<br />

( k , k)<br />

e<br />

(2 π )<br />

( )<br />

0 :<br />

−( En−μ<br />

Nn)/<br />

T<br />

0<br />

0 −Pmn<br />

/ T 4<br />

≡<br />

3 ∑<br />

μ ( ) ν ( ) ∓ δ<br />

nm , Z<br />

mn m n<br />

nJ 0 m mJ 0 n(1 e ) ( k−P<br />

)<br />

− ( + ) : Boson(Fermion)<br />

A Heisenberg Oper<strong>at</strong>or with some quantum #<br />

n : Eigenst<strong>at</strong>e with 4-momentum<br />

P = P −P<br />

P<br />

μ<br />

n<br />

mn<br />

• Inform<strong>at</strong>ion on<br />

• Dilepton production<br />

• Photon Production<br />

• J/ψ suppression...etc. :<br />

encoded in SPF<br />

M. Asakawa (Osaka University)

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