An Effective Chiral Meson Lagrangian at $O(P^6)$ from the NJL Model

Bel'kov, A. A.; Lanyov, A. V.; Schaale, A.; Scherer, S.

An Effective Chiral Meson Lagrangian at $O(P^6)$ from the NJL Model

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Description

In this work we present a strong chiral meson Lagrangian up to and including $O(p^6)$ in the momentum expansion. It is derived from the Nambu--Jona-Lasinio (NJL) model using the heat-kernel method. Identities related to the properties of covariant derivatives of the chiral matrix $U$ as well as field transformations have been used to obtain a minimal set of linearly independent terms.
20 pages