Hadronic Correlation Functions in the Interacting Instanton Liquid

Details Hadronic Correlation Functions in the Interacting Instanton Liquid Hadronic Correlation Functions in the Interacting Instanton Liquid

1995-12-20

arxiv.org/abs/hep-ph/9512384v1

Phys.Rev. D54 (1996) 1099-1111

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, Revtex, 7 postscript figures

Scientific paper

10.1103/PhysRevD.54.1099

We study hadronic correlation functions in the interacting instanton liquid model, both at zero and nonzero temperature $T$. At zero $T$ we investigate the dependence of the correlators on the instanton ensemble, in particular the effect of the fermionic determinant. We demonstrate that quark-induced correlations between instantons are important, especially in the repulsive $\eta'$ and $\delta$-meson channels. We also calculate a large number of mesonic and baryonic correlation functions as a function of temperature. We find three different types of behavior as $T\to T_c$. The vector channels $\rho,a_1,\Delta$ show a gradual melting of the resonance contribution and approach free quark behavior near the chiral phase transition. The light pseudoscalars and scalars $\pi,\sigma$, as well as the nucleon show stable resonance contributions, probably even surviving above $T_c$. Correlation functions in the heavy scalar channels $\eta',\delta$ are enhanced as $T\to T_c$.

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