Low energy phenomenological chiral Lagrangians
Abstract
We develop a phenomenological Lagrangian that satisfies the requirements of the so called "alternative schemes" designed to model low energy meson phenomenology. Linear and nonlinear $\sigma$ type Lagrangians and symmetry breaking schemes are used to describe pions that exhibit masses proportional to the square of the symmetry breaking term's coefficient, $\epsilon$. (m$\sbsp{\pi}{2}$ $\sim$ 0($\epsilon\sp2$)). The invariance of the theory under coordinate dependent transformations is achieved by introducing gauge fields for both linear and nonlinear Lagrangians. Finally, analogies between the minimal symmetry breaking terms in Quantum Electrodynamics and in our phenomenological Lagrangians are used to generate a discussion of the quark-pion mass dependence indicated by the model.
Degree
Ph.D.
Advisors
Fuchs, Purdue University.
Subject Area
Particle physics
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