Maths HEP supplementary seminars: Fields, worldlines and strings
27 November 2014 13:00 in CM219
The worldline formalism expresses objects in your favourite field theory in terms of an ensemble of curves, upon which live a set of point particles. I will describe recent work which reformulates this picture by treating these curves as the boundaries of tensionless strings which interact on contact. Quantisation of these strings provides the interactions which are familiar in field theory. Specifically I shall demonstrate how to find the expectation value of a product of Wilson loops in QED using this unconventional string theory. The bosonic string proves problematic but the structure of worldsheet supersymmetry provided by spinning strings forbids any unwanted divergences. The result is an off-shell string theory in which the Liouville degree of freedom decouples. Finally I will discuss the extension of these ideas to non-Abelian theories and chiral fermions, necessary to describe the matter content of the standard model.
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