6 papers
Planarity in Noncommutative Gauge Theories
Antonio Bassetto, Federica Vian
Planarity was introduced by 't Hooft in his topological classification of diagrams in the large-N limit of U(N) gauge theories. Planarity also occurs in noncommutative field theori…
Topological contributions in two-dimensional Yang-Mills theory: from group averages to integration over algebras
A. Bassetto, S. Nicoli, F. Vian
We show that keeping only the topologically trivial contribution to the average of a class function on U(N) amounts to integrating over its algebra. The goal is reached first by de…
Light-front vacuum and instantons in two dimensions
A. Bassetto, L. Griguolo, F. Vian
We review several aspects of Yang-Mills theory (YMT) in two dimensions, related to its perturbative and topological properties. Consistency between light-front and equal-time formu…
Two-dimensional QCD and instanton contribution
A. Bassetto, L. Griguolo, F. Vian
In these notes Yang-Mills theories in 1+1 dimensions are reviewed. Instantons on a sphere prove to be -in the decompactification limit- the key issue to clarify an old controversy…
Quantum Field Theories with Symmetries in the Wilsonian Exact Renormalization Group
F. Vian
The purpose of the present thesis is the implementation of symmetries in the Wilsonian Exact Renormalization Group (ERG) approach. After recalling how the ERG can be introduced in…
Supersymmetric gauge theories in the exact renormalization group approach
Federica Vian
In these notes the exact renormalization group formulation of the scalar theory is briefly reviewed. This regularization scheme is then applied to supersymmetric theories. In case…