We investigate the existence of Intrinsic Localized Modes (ILMs) in nonlinear one-dimensional KleinGordon chains. We use the Lagrangian averaging approach parameterizing ILM by several slow-varying variables, and apply the averaging directly in the action principle. Our preliminary studies yield results for ILM dynamics in accordance with those obtained by other methods.

Fix integers t ≥ r ≥ 2 and an r-uniform hypergraph F . We prove that the maximum number of edges in a t-partite r-uniform hypergraph on n vertices that contains no copy of F is ct,F ( n r ) + o(nr), where ct,F can be determined by a finite computation. We explicitly define a sequence F1, F2, . . . of r-uniform hypergraphs, and prove that the maximum number of edges in a t-chromatic r-uniform hy...

We present a method for extracting effective Lagrangians from QCD. The resulting effective Lagrangians are based on exact rewrites of cutoff QCD in terms of these new collective field degrees of freedom. These cutoff Lagrangians are thus " effective " in the sense that they explicitly contain some of the physical long-distance degrees of freedom from the outset. As an example we discuss the int...

It is shown that a Lagrangian exists for the nonrelativistic version of the Abraham{Lorentz{Dirac equation. The method used is an easy modiication of the procedure used by Levi Civita a century ago to construct a Lagrangian for the damped harmonic oscillator. It is then shown how a trivial adaptation of the method allows also to give a Lagrangian for the corresponding relativistic equation in t...

Pure spinor formalism and non-integrable exponential factors are used for constructing the conformal-invariant wave equation and Lagrangian density for massive fermion. It is proved that canonical Dirac Lagrangian for massive fermion is invariant under induced projective conformal transformations.

In this paper we introduce Symplectic Grassmann codes, in analogy to ordinary Grassmann codes and Orthogonal Grassmann codes, as projective codes defined by symplectic Grassmannians. Lagrangian–Grassmannian codes are a special class of Symplectic Grassmann codes. We describe all the parameters of line Symplectic Grassmann codes and we provide the full weight enumerator for the Lagrangian–Grassm...

Although no individual piece of experimental evidence for supersymmetry is compelling so far, several are about as good as they can be with present errors. Most important, all pieces of evidence imply the same values for common parameters — a necessary condition, and one unlikely to hold if the hints from data are misleading. The parameters are sparticle or soft-breaking masses and tanβ. For th...

s = 1.96 TeV are effective probes of the electro-weak gauge structure in the Standard Model (SM). Due to the potentially high energy scale in the collisions, bosonic operators beyond the leading order in the Lagrangian become important at the Tevatron and make the theoretical interpretations non trivial. The fact that we need cut-offs in our models in order to maintain unitarity underline the i...

We calculate the tree-level bispectrum of the inflaton field perturbation directly from the field equations, and construct the corresponding fNL parameter. Our results agree with previous ones derived from the Lagrangian. We argue that quantum theory should only be used to calculate the correlators when they first become classical a few Hubble times after horizon exit, the classical evolution t...