v 1 1 7 O ct 1 99 8 To what distances do we know the confining potential ?

N ov 1 99 8 To what distances do we know the confining potential ? Dmitri

We argue that the linear static potential is built in into the common procedure of extracting it from lattice Wilson loop measurements. To illustrate the point, we extract the potential by the standard lattice method in a model vacuum made of instantons. A beautiful infinitely rising linear potential is obtained in the case where the true potential is actually flattening. We argue that the flux...

ec 1 99 9 ITEP - TH - 75 / 99 SHORT STRINGS AND NEW PHYSICS PERSPECTIVES IN QCD 1

Within the (dual) Abelian Higgs model, confining strings do not disappear at small distances but rather become short strings. In compact 3D electrodynamics, as we argue here, the confining strings are also manifested at small distances in unusual power corrections, disobeying the standard rules of the Operator Product expansion. In the most interesting case of QCD, there is yet no derivation of...

x / 99 10 05 8 v 1 2 7 O ct 1 99 9 Rare Φ Decays and Exotic Hadrons

ar X iv : m at h / 99 10 14 8 v 1 [ m at h . A P ] 2 7 O ct 1 99 9 RELATIVE ZETA DETERMINANTS AND THE QUILLEN METRIC

We compute the relation between the Quillen metric and and the canonical metric on the determinant line bundle for a family of elliptic boundary value problems of Dirac-type. To do this we present a general formula relating the ζdeterminant and the canonical determinant for a class of higher-order elliptic boundary value problems.

/ 98 12 03 0 v 5 7 A ug 1 99 9 ITEP - TH - 73 / 98 FISIST / 16 - 98 / CFIF SHORT STRINGS IN THE ABELIAN HIGGS MODEL

We consider the monopole-antimonopole static potential in the confining phase of the Abelian Higgs model and in particular the corrections to the Coulomb-like potential at small distances r. By minimizing numerically the classical energy functional we observe a linear in r, stringy correction even at distances much smaller than the apparent physical scales. We argue that this term is a manifest...