Feynman graphs, Periods and Polylogarithms: Shuffle products in Yang-Mills theory and matrix models
21 November 2007 13:15 in CM105
We discuss certain algebraic and differential structures of the factorized
Schwinger-Dyson equations of large-N matrix models and Yang-Mills theory.
The appearance of shuffle and concatenation products and their derivations
is explained. The shuffle product is naturally viewed as the pointwise
product of functions on Loop(M), written in terms of tensors on the manifold
M. We will try not to assume any prior knowledge of Yang-Mills theory,
matrix models or shuffle products.
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