Baryonic Spectral Functions at Finite Temperature - Physics
Baryonic Spectral Functions at Finite Temperature - Physics
Baryonic Spectral Functions at Finite Temperature - Physics
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Baryon Oper<strong>at</strong>ors<br />
• Nucleon current<br />
( ) ( )<br />
J<br />
N( x) = εabc ⎡⎣s ua( x) Cdb( x) γ5uc( x) + t ua( x) Cγ5db( x) uc( x)<br />
⎤⎦<br />
s<br />
= − t = 1 Ioffe current<br />
• On the l<strong>at</strong>tice, used s = 0, t = 1, u(x) = d(x) = q(x), J N (x)<br />
J(x)<br />
• Euclidean correl<strong>at</strong>ion function <strong>at</strong> zero momentum<br />
<br />
3 <br />
D(,0) τ = ∫ d x J(, τ x) J(0,0)<br />
∞<br />
D(,0) τ = K(, τωρω ) ( ) dω<br />
∫<br />
−∞<br />
⎛1<br />
⎞ω<br />
exp⎜<br />
−τT<br />
⎟ 2 T<br />
K(, τω)<br />
=<br />
⎝ ⎠<br />
⎛ ω ⎞ ⎛ ω ⎞<br />
exp⎜ ⎟+ exp⎜−<br />
⎟<br />
⎝2T<br />
⎠ ⎝ 2T<br />
⎠<br />
M. Asakawa (Osaka University)
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