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

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 : h ep - l at / 9 60 90 26 v 1 1 2 Se p 19 96 1 Nature of the Vacuum inside the Color Flux Tube

The interior of the color flux tube joining a quark pair can be probed by evaluating the correlator of pair of Polyakov loops in a vacuum modified by another Polyakov pair, in order to check the dual superconductivity conjecture, which predicts a deconfined, hot core. We also point out that at the critical point of any 3D gauge theories with a continuous deconfining transition the Svetitsky-Yaf...

ar X iv : h ep - l at / 9 90 91 22 v 1 1 5 Se p 19 99 1 New Numerical Methods for Quantum Field Theories on the Continuum ∗

The Source Galerkin Method is a new numerical technique that is being developed to solve Quantum Field Theories on the continuum. It is not based on Monte Carlo techniques and has a measure to evaluate relative errors. It promises to increase the accuracy and speed of calculations, and takes full advantage of symmetries of the theory. The application of this method to the non-linear σ model is ...

ar X iv : m at h - ph / 9 90 40 04 v 1 6 A pr 1 99 9 Heisenberg Groups in the Theory of the Lattice Peierls Electron : the Irrational Flux Case

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.