6533b825fe1ef96bd1281d4d
RESEARCH PRODUCT
Anomalous chiral perturbation theory meson Lagrangian to orderp6reexamined
T. EbertshäuserStefan SchererHarold W. Fearingsubject
PhysicsNuclear and High Energy PhysicsRiemann curvature tensorParticle physicsMonomialChiral perturbation theoryTrace (linear algebra)Meson010308 nuclear & particles physicsGroup (mathematics)Order (ring theory)01 natural sciencessymbols.namesake0103 physical sciencessymbols010306 general physicsLagrangianMathematical physicsdescription
We present a revised and extended construction of the mesonic Lagrangian density in chiral perturbation theory (ChPT) at order ${p}^{6}$ in the anomalous (or epsilon) sector, ${\mathcal{L}}_{6,\ensuremath{\epsilon}}.$ After improving several aspects of the strategy we used originally, i.e., a more efficient application of partial integration, the implementation of so-called Bianchi identities, and additional trace relations, we find the new monomial sets to include 24 ${SU(N}_{f}),$ 23 $\mathrm{SU}(3),$ and 5 $\mathrm{SU}(2)$ elements. Furthermore, we introduce 8 supplementary terms due to the extension of the chiral group to ${SU(N}_{f}{)}_{L}\ifmmode\times\else\texttimes\fi{}{SU(N}_{f}{)}_{R}\ifmmode\times\else\texttimes\fi{}{U(1)}_{V}.$
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-02-15 | Physical Review D |