Baryonic Spectral Functions at Finite Temperature - Physics

Spectral Functions for Fermionic Operators
3
D( τ,0) = ∫ d x J( τ, x) J(0,0)
∞
D(,0) τ = K(, τωρω ) ( ) dω
∫
−∞
ρ( ω) = ρ ( ω) γ + ρ ( ω): ρ ( ω), ρ ( ω)
0
0 s
0
= ρ ( ω) Λ γ + ρ ( ω)
Λ γ
0 0
+ + − −
s
independent
ρ ( ω) = ρ ( − ω), ρ ( ω) =−ρ ( −ω)
0 0
s
ρ ( ω) = ρ ( − ω) = ρ ( ω) + ρ ( ω) ≥0
semi-positivity
+ −
0
s
s
ρ+ ( ω)( ρ− ( ω))
: neither even nor odd
• For Meson currents, SPF is odd
Thus, need to and can carry out MEM analysis in [-ω max , ω max ]
In the following, we analyze
ρω ( )
≡
ρ ( ω)
+
5
ω
M. Asakawa (Osaka University)