1301.3717 (Vivek Kumar Tiwari)

Comparing symmetry restoration in the QCD-like three quark flavor models    [PDF]

Vivek Kumar Tiwari

We are computing the modifications for the scalar and pseudoscalar meson masses and mixing angles due to the proper accounting of fermionic vacuum fluctuation in the framework of generalized 2+1 flavor quark-meson model and Polyakov loop augmented Quark Meson model (PQM). The renormalized contribution of the divergent fermionic vacuum fluctuation at one loop level, makes these models effective quantum chromodynamics (QCD)-like models. It has been explicitly shown that analytical expressions for the model parameters, meson masses and mixing angles, do not depend on any arbitrary renormalization scale. We have investigated how the incorporation of fermionic vacuum fluctuation in quark meson and PQM models qualitatively and quantitatively affects the convergence in the masses of the chiral partners in pseudoscalar ($\pi$, $\eta$, $\eta'$, $K$) and scalar ($\sigma$, $a_0$, $f_0$,$\kappa$) meson nonets as the temperature is varied on the reduced temperature scale. Chiral symmetry restoration trends emerging from the temperature variations of the meson masses of the chiral partners and mixing angles, have been identified and compared with in different model scenarios. Comparison of present results in the quark meson model with vacuum term (QMVT) and PQM model with vacuum term (PQMVT) with the already existing calculations in the bare 2+1 quark meson and PQM models, show that the restoration of chiral symmetry becomes smoother due to the influence of the fermionic vacuum term. We find that the melting of the strange condensate registers a significant increase in the presence of fermionic vacuum term and its highest melting is found in PQMVT model.

View original: http://arxiv.org/abs/1301.3717