Symmetries in (perturbative) algebraic quantum field theory

In this talk I will review recent progress on describing symmetries and renormalisation using the C*-algebraic framework proposed by Buchholz and Fredenhagen in their paper from 2019. The recent progress involves the formulation of renormalisation group and the anomalous unitary quantum Noether theorem. This is based on a join paper with Brunetti, Duetsch and Fredenhagen.

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