We show that the Hidden Local Symmetry Model, supplemented with well-known procedures for breaking flavor SU(3) and nonet symmetry, provides all the information contained in the standard Chiral Perturbation Theory (ChPT) Lagrangian L (0) + L (1). This allows to rely on radiative decays of light mesons (V P γ and P γγ) in order to extract some numerical information of relevance to ChPT: a value ...

This work introduces a numerical, continuous measure of symmetry for 3D stick creatures and solid 3D objects. Background information about the property of symmetry is provided, and motivations for developing a symmetry measure are described. Three approaches are mentioned, and two of them are presented in detail using formal mathematical language. The best approach is used to sort a set of crea...

In this work we study a two species driven diffusive system with open boundaries that exhibits spontaneous symmetry breaking in one dimension. In a symmetry broken state the currents of the two species are not equal, although the dynamics is symmetric. A mean field theory predicts a sequence of two transitions from a strongly symmetry broken state through an intermediate symmetry broken state t...

We elucidate constraints imposed by confinement and dynamical chiral symmetry breaking on the infrared behaviour of the dressed-quark and -gluon propagators, and dressed-quark-gluon vertex. In covariant gauges the dressing of the gluon propagator is completely specified by P(k2) := 1/[1+Π(k2)], where Π(k2) is the vacuum polarisation. In the absence of particle-like singularities in the dressed-...

We study the statistical mechanics of a model describing the coevolution of species interacting in a random way. We find that at high competition replica symmetry is broken. We solve the model in the approximation of one step replica symmetry breaking and we compare our findings with accurate numerical simulations.

TO SYMMETRIC VARIATIONAL PROBLEMS Giuseppe Gaeta Department of Mathematical Sciences Loughborough University of Technology Loughborough LE11 3TU (England) [email protected] Summary By combining the Michel's geometric theory of symmetry breaking and classical result from variational analysis, we obtain a lower bound on critical points with given symmetry H G of a potential symmetric under G. The...

The spontaneous symmetry breaking associated to the tearing of a random surface, where large dynamical holes ll the surface, was recently analized obtaining a non-universal critical exponent on a border phase. Here the issue of universality is explained by an independent analysis. The one hole sector of the model is useful to manifest the origin of the (limited) non-universal behaviour, that is...

This paper studies one-loop effective potential and spontaneous-symmetrybreaking pattern for SU(5) gauge theory in De Sitter space-time. Curvature effects modify the flat-space effective potential by means of a very complicated special function previously derived in the literature. An algebraic technique already developed by the first author to study spontaneous symmetry breaking of SU(n) for r...

A proof of strong cosmic censorship is presented for a class of solutions of the Einstein-Maxwell equations, those with polarized Gowdy symmetry. A key element of the argument is the observation that by means of a suitable choice of variables the central equations in this problem can be written in a form where they are identical to the central equations for general (i.e. non-polarized) vacuum G...

We show how the instanton-induced interaction in qq pairs, iterated in tchannel, leads to a meson-exchange interactions between quarks. Thus one can achieve a simultaneous understanding of low-lying mesons, baryons and the nuclear force. Our discussion is rather general in this respect and does not rely necessarily on the instanton-induced interaction. Any nonperturbative gluonic interaction be...