# Mathematics Colloquia and Seminars

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### Worldline approach to noncommutative field theory

**QMAP Seminar**

Speaker: | Roberto Bonezzi, University of Bologna, Italy |

Location: | 2112 MSB |

Start time: | Thu, Oct 17 2013, 4:10PM |

The study of the heat-trace expansion in noncommutative field theory has shown the existence of Moyal nonlocal Seeley-DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive at a master formula for the n-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the noncommutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other nonlocal operators.