99 06 55 4 v 2 1 J ul 1 99 9 Bicocca - FT - 99 - 18 Out – of – equilibrium dynamics of φ 4 QFT in finite volume

v - in t / 9 50 60 06 v 1 7 J ul 1 99 5 Fredholm Determinants and the mKdV / Sinh - Gordon Hierarchies

For a particular class of integral operators K we show that the quantity φ := log det (I +K)− log det (I −K) satisfies both the integrated mKdV hierarchy and the sinh-Gordon hierarchy. This proves a conjecture of Zamolodchikov.

Out – of – equilibrium dynamics of φ 4 QFT in finite volume

ar X iv : h ep - t h / 99 11 22 4 v 1 2 9 N ov 1 99 9 Reaction - rate formula in out of equilibrium quantum field theory

A complete derivation, from first principles, of the reaction-rate formula for a generic reaction taking place in an out of equilibrium quantum-field system is given. It is shown that the formula involves no finite-volume correction. Each term of the reaction-rate formula represents a set of physical processes that contribute to the reaction under consideration. 11.10.Wx, 12.38.Mh, 12.38.Bx Typ...

/ 99 07 00 8 v 1 2 J ul 1 99 9 1 / 4 - BPS states on noncommutative tori

We give an explicit expression for classical 1/4-BPS fields in supersymmetric Yang-Mills theory on noncommutative tori. We use it to study quantum 1/4-BPS states. In particular we calculate the degeneracy of 1/4-BPS energy levels.

Out – of – equilibrium dynamics of large − N φ 4 QFT in finite volume