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Chiral Phase Transition For Su(N) Gauge Theories Via An Effective Lagrangian Approach, Joseph Schechter, Francesco Sannino
Chiral Phase Transition For Su(N) Gauge Theories Via An Effective Lagrangian Approach, Joseph Schechter, Francesco Sannino
Physics - All Scholarship
We study the chiral phase transition for vector-like SU(N) gauge theories as a function of the number of quark flavors N_f by making use of an anomaly-induced effective potential. We modify an effective potential of a previous work, suggested for N_f < N, and apply it to larger values of N_f where the phase transition is expected to occur. The new effective potential depends explicitly on the full \beta-function and the anomalous dimension \gamma of the quark mass operator. By using this potential we argue that chiral symmetry is restored for \gamma <1. A perturbative computation of \gamma then leads to an estimate of the critical value N_f^c for the transition.
Eta' To Eta Pi Pi Decay As A Probe Of A Possible Lowest-Lying Scalar Nonet, Joseph Schechter, Amir H. Fariborz
Eta' To Eta Pi Pi Decay As A Probe Of A Possible Lowest-Lying Scalar Nonet, Joseph Schechter, Amir H. Fariborz
Physics - All Scholarship
We study the eta' to eta pi pi decay within an effective chiral Lagrangian approach in which the lowest lying scalar meson candidates sigma(560) and kappa(900) together with the f0(980) and a0(980) are combined into a possible nonet. We show that there exists a unique choice of the free parameters of this model which, in addition to fitting the pi pi and pi K scattering amplitudes, well describes the experimental measurements for the partial decay width of eta' to eta pi pi and the energy dependence of this decay. As a by-product, we estimate the a0(980) width to be 70 …