  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 to 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.
