Philippe Mathieu

Affiliate

Education

M.S., Aix-Marseille Universite, Marseille., 2015
PhD, Laboratory of Annecy-le-Vieux of Theoretical Physics, 2018

Bio

Research Interests

I am interested in quantum field theory which remains ill-defined in many ways. During my PhD I focused on U(1) Chern-Simons and BF theories in the formalism of the path integral and established new connections with Reshetikhin-Turaev and Turaev-Viro quantum invariants. I would like now to understand the relation between the operator approach and the functional integral approach of those theories. I want also to extend my views to conformal field theory and noncommutative geometry.

Selected Publications

• Mathieu, Ph. and Thuillier, F. (2016a). Abelian BF theory and Turaev-Viro invariant. Journal of Mathematical Physics, 57.

• Mathieu, Ph. and Thuillier, F. (2016b). A reciprocity formula from abelian BF and Turaev–Viro. Nuclear Physics B, 912:327–353.

• Mathieu, Ph. and Thuillier, F. (2017). Abelian Turaev-Virelizier theorem and U(1) BF surgery formulas. Journal of Mathematical Physics, 58.

• Guadagnini, E., Mathieu, Ph., and Thuillier, F. (2017). Flat connections in three-manifolds and classical Chern-Simons invariant. Nuclear Physics B, 925:536–559.

• Gallot, L., Mathieu, Ph., Pilon, E., and Thuillier, F. (2018). Geometric aspects of interpolating gauge-fixing in Chern-Simons theory. Modern Physics Letters A, 33(2).
  PhD, Laboratory of Annecy-le-Vieux of Theoretical Physics, 2018