Title: The operator product expansion for Yang-Mills theories
Abstract:
Originally conceived by Wilson in 1969, the operator product expansion (OPE)
has found a multitude of applications in high-energy physics, conformal field
theory and condensed matter systems. In the context of Euclidean \phi^4
theory, it has recently been shown that the OPE is much better behaved
than expected: instead of being just an asymptotic expansion, it converges
for arbitrary finite separations of the operators (at least to all orders in
perturbation theory). We generalise these results to (Euclidean) Yang-Mills
theories, including suitable Ward identities, and derive a formula for the
recursive construction of the OPE coefficients. We also explain how these
results could be used for a non-perturbative construction of Yang-Mills
theory. The talk is based on
arXiv:1511.09425
and
arXiv:1603.08012.