Lagrangian Formulation of Dual Resonance Model

Effective chiral Lagrangian from dual resonance models.

Parameters of the effective chiral lagrangian (EChL) of orders O(p) and O(p6) are extracted from low–energy behaviour of dual resonance models for ππ and πK scattering amplitudes. Dual resonance models are considered to be good candidates for the resonance spectrum and for hadronic scattering amplitudes in the large Nc limit of QCD. We discuss dual resonance models in the presence of spontaneou...

Lagrangian approach to local symmetries and self-dual model in gauge invariant formulation

Taking the Stückelberg Lagrangian associated with the abelian selfdual model of P. K. Townsend et al as a starting point, we embed this mixed firstand second-class system into a pure first-class system by following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin. The resulting Lagrangian possesses an extended gauge invariance and provides a non-trivial example...

Lagrangian Formulation of General Relativity

Differential geometry based solvation model II: Lagrangian formulation.

Solvation is an elementary process in nature and is of paramount importance to more sophisticated chemical, biological and biomolecular processes. The understanding of solvation is an essential prerequisite for the quantitative description and analysis of biomolecular systems. This work presents a Lagrangian formulation of our differential geometry based solvation models. The Lagrangian represe...

Laplace transform integration of the shallow water equations. Part 2: Semi-Lagrangian formulation and orographic resonance

In this paper we combine the Laplace transform (LT) scheme with a semiLagrangian advection scheme, and implement it in a shallow water model. It is compared to a reference model using the semi-implicit (SI) scheme, with both Eulerian and Lagrangian advection. We show that the LT scheme is accurate and computationally competitive with these reference schemes. We also show, both analytically and ...