A bstract This work is a step towards a non-perturbative continuum definition of quantum
field theory (QFT), beginning with asymptotically free two dimensional non-linear sigma …

We propose a reformulation of Yang-Mills theory as a perturbative deformation of a novel
topological (quantum) field theory. We prove that this reformulation of four-dimensional QCD …

The QCD vacuum Page 1 ELSEVIER Nuclear Physics B (Proc. Suppl.) 63A-C (1998) 126-137 |
l B l ~ | l PROCEEDINGS SUPPLEMENTS The QCD vacuum Pierre van Baal ~ ~Instituut-Lorentz …

We give a unified description of self-dual SU (2) gauge fields on tori of size lt× ls3, based on
a mixture of analytical and numerical methods using the Nahm transformation, extended to …

We review the specific problems that arise when studying instantons on a torus. We discuss
how the Nahm transformation shows that no exact charge one instanton on T4 can exist …

We consider topological solitons in the CP n sigma models in two space dimensions. In
particular, we study “kinks,” which are independent of one coordinate up to a rotation of the …

There is a Nahm transform for 2-dimensional gauge fields which establishes a one-to-one
correspondence between the orbit space of U (N) gauge fields with topological charge k …

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We show that parity symmetry is not spontaneously broken in the CP N sigma model for any
value of N when the coefficient of the θ term becomes θ= π (mod 2 π). The result follows …

We construct all instantons in the\nlsig\on a cylindrical space-time, known not to exist on a
finite time interval. The scale parameter, $\rho $, is related to the boundary condition in time …