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Highly Nonlinear Wave Solutions in a Dual to the Chiral Model by Rajeev, S. G.; Ranken, Evan is a scholarly article available to read on EtoBox.

What is Highly Nonlinear Wave Solutions in a Dual to the Chiral Model about?

We consider a two-dimensional scalar field theory with a nilpotent current algebra, which is dual to the Principal Chiral Model. The quantum theory is renormalizable and not asymptotically free: the theory is strongly coupled at short distances (encountering a Landau pole). We suggest it can serve as a toy model for $\lambda\phi^{4}$ theory in four dimensions, just as the principal chiral model is a useful toy model for Yang-Mills theory. We find some classical wave solutions that survive the strong coupling limit and quantize them by the collective variable method. They describe excitations with an unusual dispersion relation $\omega\propto|k|^{\frac{2}{3}}$ . Perhaps they are the "preons" at strong coupling, whose bound states form massless particles over long distances.

Author

Rajeev, S. G.; Ranken, Evan

Published

2016

Language

EN