7 papers
A Topological Field Theory With a Finite Number of Connected Feynman Diagrams
Franco Ferrari
A new topological field theory is constructed, which is characterized by cubic interactions similar to those of non-abelian Chern-Simons field theories, but still retains the simpl…
Generalized Weierstrass Kernels on the Intersection of Two Complex Hypersurfaces
Franco Ferrari
On plane algebraic curves the so-called Weierstrass kernel plays the same role of the Cauchy kernel on the complex plane. A straightforward prescription to construct the Weierstras…
Field Theories of Topological Random Walks
Franco Ferrari, Ignazio Lazzizzera
In this work we derive certain topological theories of transverse vector fields whose amplitudes reproduce topological invariants involving the interactions among the trajectories…
Toward a Field Theoretical Description of Topologically Linked Polymers
F. Ferrari, I. Lazzizzera
In this work a field theoretical model is constructed to describe the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical…
Chern-Simons Field Theories in the Coulomb Gauge
Franco Ferrari, Ignazio Lazzizzera
In this talk some recent results in the quantization of Chern-Simons field theories in the Coulomb gauge will be presented. In the first part, the consistency of the Chern-Simons f…
Quantum Field Theories on Algebraic Curves
F. Ferrari, J. T. Sobczyk
In this talk the main features of the operator formalism for the systems on general algebraic curves developed in refs. [1-2] are reviewed. The first part of the talk is an i…