ar X iv : h ep - t h / 98 06 01 4 v 1 1 J un 1 99 8 Convolution of Ultradistributions and Field Theory ∗

ar X iv : h ep - t h / 99 06 02 9 v 1 3 J un 1 99 9

ar X iv : h ep - t h / 95 06 05 1 v 1 8 J un 1 99 5 June 1995 TAUP – 2253

We show that instantons violate a supersymmetric identity in a classically supersymmetric Higgs model with no massless fermions. This anomalous breaking arises because the correct perturbative expansion in the instanton sector is not supersymmetric. The attempt to construct a manifestly supersymmetric expansion generates infra-red divergences.

ar X iv : h ep - t h / 99 06 07 2 v 1 9 J un 1 99 9 HD – THEP – 99 – 11 Hamiltonian Approach to Lagrangian Gauge Symmetries

We reconsider the problem of finding all local symmetries of a La-grangian. Our approach is completely Hamiltonian without any reference to the associated action. We present a simple algorithm for obtaining the restrictions on the gauge parameters entering in the definition of the generator of gauge transformations.

ar X iv : h ep - t h / 94 11 17 9 v 2 8 J un 1 99 5 COURSE 1 QUANTIZATION OF GEOMETRY

Géométries Fluctuantes en Mécanique Statistique et en Théorie des Champs /Fluctuating Geometries in Statistical Mechanics and Field Theory

ar X iv : h ep - t h / 99 06 06 9 v 1 9 J un 1 99 9 UMTG – 219 Soliton S matrices for the critical A ( 1 ) N − 1 chain

We compute by Bethe Ansatz both bulk and boundary hole scattering matrices for the critical A (1) N−1 quantum spin chain. The bulk S matrix coincides with the soliton S matrix for the A (1) N−1 Toda field theory with imaginary coupling. We verify our result for the boundary S matrix using a generalization of the Ghoshal-Zamolodchikov boundary crossing relation.