ar X iv : h ep - t h / 97 10 10 3 v 1 1 3 O ct 1 99 7 VARIOUS SHADES OF BLUE ’ S FUNCTIONS ∗

ar X iv : h ep - t h / 97 10 10 3 v 2 1 8 N ov 1 99 7 VARIOUS SHADES OF BLUE ’ S FUNCTIONS

We discuss random matrix models in terms of elementary operations on Blue’s functions (functional inverse of Green’s functions). We show that such operations embody the essence of a number of physical phenomena whether at/or away from the critical points. We illustrate these assertions by borrowing on a number of recent results in effective QCD in vacuum and matter. We provide simple physical a...

ar X iv : h ep - t h / 97 10 01 6 v 1 2 O ct 1 99 7 K 3 Surfaces , Igusa Cusp Form and String Theory

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

ar X iv : h ep - p h / 97 10 39 2 v 1 1 7 O ct 1 99 7 Renormalons and Higher - Twist Contributions to Structure Functions

We review the possibility to use the renormalons emerging in the perturbation series of the twist-2 part of the nonsinglet structure functions F L , F 2 , F 3 , and g 1 to make approximate predictions for the magnitude of the appertaining twist-4 corrections.

ar X iv : h ep - p h / 97 10 23 0 v 1 3 O ct 1 99 7 KEK - TH - 546 Oct . ’ 97 Domain wall solution for vectorlike model

Domain wall solution for Nc = Nf supersymmetric QCD is constructed. Astrophysical implications of the domain wall configuration is also discussed. [email protected] 1

ar X iv : h ep - p h / 97 10 24 9 v 1 6 O ct 1 99 7 HADRONIC PHYSICS FROM THE LATTICE