Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
CPT Student Seminar: Exact Solution of 2D Yang-Mills Theory
The 2D Yang-Mills theory is an example of a quantum field theory which can be solved exactly without resorting to perturbation theory. â€˜Solvingâ€™ the theory means finding an exact expression for the partition function of the theory on a Riemann surface Î£ of genus g and area A. The free 2D Yang-Mills theory partition function only depends on A and g, and not the special geometry of Î£, so in the zero area limit it is a topological quantum field theory. I will calculate the partition function by first considering the theory on a cylinder in the Hamiltonian formulation. Then, once we have the partition function on a cylinder, I will use the â€˜gluing ruleâ€™ to find the partition function on a Riemann surface of genus g.