ar X iv : h ep - t h / 93 04 10 3 v 1 2 2 A pr 1 99 3 EHU - FT - 93 April 1993 THREE - LOOP CALCULATION OF THE ANYONIC FULL CLUSTER EXPANSION

ar X iv : h ep - t h / 93 04 01 2 v 1 5 A pr 1 99 3 RIMS - 918 April , 1993 General Form of Dilaton Gravity and Nonlinear Gauge Theory

We construct a gauge theory based on general nonlinear Lie algebras. The generic form of ‘dilaton’ gravity is derived from nonlinear Poincaré algebra, which exhibits a gauge-theoretical origin of the non-geometric scalar field in two-dimensional gravitation theory.

ar X iv : h ep - t h / 93 05 10 4 v 1 2 1 M ay 1 99 3 The role of mathematics in contemporary theoretical physics ∗

ar X iv : h ep - t h / 93 11 02 3 v 1 3 N ov 1 99 3 SUNY - NTG - 93 / 42 Hot QCD

I discuss a comprehensive approach to the spacelike physics in high temperature QCD in three dimensions. The approach makes use of dimensional reduction. I suggest that this approach is useful for high temperature QCD in four dimensions.

ar X iv : h ep - t h / 93 07 10 0 v 2 1 6 Ju l 1 99 3 Orthodox Gravity

A scalar field theory is investigated within the context of orthodox quantum gravity.

ar X iv : h ep - t h / 93 11 13 2 v 1 2 2 N ov 1 99 3 Quantum integrable systems and representations of Lie algebras

Introduction A quantum many particle system on the line with an interaction potential U (x) is defined by the Hamiltonian