- th / 9 90 90 72 v 1 2 9 Se p 19 99 ALGEBRAIC MEAN FIELD THEORY

- th / 9 90 60 27 v 1 9 J un 1 99 9 Ground state energy fluctuations in nuclear matter II

Improvements are performed on a recently proposed statistical theory of the mean field of a many-fermion system. The dependence of the predictions of the theory upon its two basic ingredients, namely the Hartree-Fock energy and the average energy of the two particle–two hole excitations, is explored.

ar X iv : m at h - ph / 9 90 90 25 v 1 2 1 Se p 19 99 The symmetries of the Manton superconductivity model

The symmetries and conserved quantities of Manton's modified superconductiv-ity model with non-relativistic Maxwell-Chern-Simons dynamics (also related to the Quan-tized Hall Effect) are obtained in the " Kaluza-Klein type " framework of Duval et al. 1. Introduction Recently [1], Manton proposed a modified version of the Landau-Ginzburg theory of superconductivity. His equations, defined on (2 ...

ar X iv : h ep - l at / 9 90 90 26 v 2 2 4 Se p 19 99 1 Chiral symmetry breaking from Ginsparg - Wilson fermions ∗

We calculate the large-volume and small-mass dependences of the quark condensate in quenched QCD using Neuberger's operator. We find good agreement with the predictions of quenched chiral perturbation theory, enabling a determination of the chiral lagrangian parameter Σ, up to a multiplicative renormalization.

ar X iv : s ol v - in t / 9 90 90 22 v 1 2 1 Se p 19 99 SELF - SIMILARITY IN SPECTRAL PROBLEMS AND q - SPECIAL FUNCTIONS 1

Similarity symmetries of the factorization chains for one-dimensional differential and finite-difference Schrödinger equations are discussed. Properties of the potentials defined by self-similar reductions of these chains are reviewed. In particular, their algebraic structure, relations to q-special functions, infinite soliton systems, supersymmetry, coherent states, orthogonal polynomials, one...

ar X iv : n uc l - th / 9 90 10 97 v 1 2 9 Ja n 19 99 1 The Landau - Migdal Parameters , g ′ NN and g