The reconstruction procedure, which has proven quite useful to obtain viable models of the universe evolution, is here employed in order to construct inflation models. It has the advantages that it ensures full consistency with astronomical observations and that it allows to evaluate the stability of the resulting cosmological model in a rather simple way. The reconstruction is carried out in d...

We reconsider microscopic grounds for the electric field response and for the phase dynamics ofcharge/spin density waves in pure systems. We suggest transparent and free of lengthy calculations way to derive the local Lagrangian valid at any temperature 0 < T < TMF and for arbitrary electronic spectrum provided it supports the existence of

In this paper we introduce harmonic Lagrangian submanifolds in general Kähler manifolds, which generalize special Lagrangian submanifolds in Calabi-Yau manifolds. We will use the deformation theory of harmonic Lagrangian submanifolds in Kähler manifolds to construct minimal Lagrangian torus in certain Kähler-Einstein manifolds with negative first Chern class.

We present a new discretization for 2D Lagrangian hydrodynamics in rz geometry (cylindrical coordinates), which is total energy conserving and symmetry preserving.

Let π : P → Mn be a principal G-bundle, and let L : JP → Λn(M) be a G-invariant Lagrangian density. We obtain the Euler-Poincaré equations for the reduced Lagrangian l defined on C(P ), the bundle of connections on P .

In this paper we use new regularity and stability estimates for Alexandrov solutions to Monge-Ampère equations, recently estabilished by De Philippis and Figalli [14], to provide global in time existence of distributional solutions to the semigeostrophic equations on the 2-dimensional torus, under very mild assumptions on the initial data. A link with Lagrangian solutions is also discussed.

From the tree-level heavy quark effective Lagrangian keeping particle-antiparticle mixed sectors we derive the vector current coupling to a hard gluonic field allowing for heavy quark-antiquark pair annihilation and creation. 1. A COMPLETE TREE-LEVEL HQEFT LAGRANGIAN In this work we keep both heavy quark and heavy antiquark coupled sectors in the HQEFT Lagrangian. To our knowledge, until [1] on...

We equip the whole space of fields of the triplectic formalism of Lagrangian quantization with an even supersymplectic structure and clarify its geometric meaning. We also discuss its relation to a closed two-form arising naturally in the superfield approach to the triplectic formalism.

In this note we discuss the closure of an orbital variety as a union of varieties. We show that if semisimple Lie algebra g contains factors not of type An then there are orbital varieties whose closure contains components which are not Lagrangian. We show that the argument does not work if all the factors are of type An and provide the facts supporting the conjecture claiming that if all the f...