The auto-parallel equation over spaces with affine connections and metrics [(Ln, g)-spaces] is considered as a result of the application of the method of Lagrangians with covariant derivatives (MLCD) on a given Lagrangian density.

The two-photon two-neutrino interaction induced by magnetic field is investigated. In particular the processes γγ → νν̄ and γ → γνν̄ are studied in the presence of strong magnetic field. An effective Lagrangian and partial amplitudes of the processes are presented. Neutrino emissivities due to the reactions γγ → νν̄ and γ → γνν̄ are calculated taking into account of the photon dispersion and large ...

Let M and N be Lagrangian submanifolds of a complex symplectic manifold S. We construct a Gerstenhaber algebra structure on TorS ∗ (OM ,ON ) and a compatible Batalin-Vilkovisky module structure on ExtOS (OM ,ON ). This gives rise to a de Rham type cohomology theory for Lagrangian intersections.

The energy form on a closed fractal curve F is constructed. As F is neither self-similar nor nested, it is regarded as a ”fractal manifold”. The energy is obtained by integrating the Lagrangian on F .

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...

The decay process H → γγ is examined in a model-independent way within the effective Lagrangian approach. Contribution of one-loop diagrams including SU(2) × U(1) invariant dimension-six bosonic operators is evaluated explicitly. The calculation is intended to fill a gap that exists in the current literature of the subject. [email protected] [email protected]

Introduction In this section, we list coupling-strength and mass limits for light neutral scalar or pseudoscalar bosons that couple weakly to normal matter and radiation. Such bosons may arise from a global spontaneously broken U(1) symmetry, resulting in a massless Nambu-Goldstone (NG) boson. If there is a small explicit symmetry breaking, either already in the Lagrangian or due to quantum eff...

The field equations in the nonsymmetric gravitational theory are derived from a Lagrangian density using a first-order formalism. Using the general covariance of the Lagrangian density, conservation laws and tensor identities are derived. Among these are the generalized Bianchi identities and the law of energy-momentum conservation. The Lagrangian density is expanded to second-order, and treate...