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…
QCD: from four to two dimensions
A. Bassetto
I review some work done in the past four years concerning the transition of Yang-Mills theories from 1+3 to 1+1 dimensions. The problem is considered both in a perturbative context…
Yang-Mills theories on the space-time cylinder: equal-time quantization in light-cone gauge and Wilson loops
A. Bassetto, L. Griguolo, G. Nardelli
Pure Yang-Mills theories on the cylinder are quantized in light-cone gauge by means of commutation relations. Positive and negative frequen…