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HK: Physik der Hadronen und Kerne

HK 9: Theorie II

HK 9.5: Talk

Monday, March 22, 1999, 17:45–18:00, A

Symmetry Conserving Dynamical Mappings & The Chiral Transition — •Zoheir Aouissat — Institut für Kernphysik, TU-Darmstadt.

Solving a theory for interacting fields is one of the major challenges in quantum field theory. Besides the coupling constant perturbation, the analytical (approximate) microscopic solutions at our disposal are amazingly only of a semi-classical nature. Using the concept of dynamical mappings, two symmetry conserving non-perturbative approaches will be presented. The first is based on the semi-classical 1/N-expansion and sorted out using Holstein-Primakoff bosonic mapping. The second, with a full quantum character, consists of dynamically mapping the canonical fields into the corresponding currents. It is argued, either by comparing the Fock spaces or the observables, that the latter constitutes a higher approach which transcends the semi-classical 1/N-expansion and contains the dynamics generated by the Gaussian functional approach. The question of the chiral transition is discussed in the context of these two microscopic and non-perturbative solutions to the field theory. Further extensions to the above mentioned approaches are discussed.