Head of the Department of Physics
Research group: Mathematical Physics
|Address||CPHT, Ecole Polytechnique, 91128 Palaiseau cedex, France|
|Phone number||+33-(0)1 69 33 42 61|
|Fax number||+33-(0)1 69 33 49 49|
|Office||Building 6, Office 1043|
Perturbative and constructive field theory, renormalization theory and renormalization group, in particular based on differential flow equations
The differential equations of the renormalization group are a powerful tool in the analysis of quantum field theories. The theory of renormalizability with all its aspects can be based on these equations. They give access to a sharp analysis of the Schwinger fucntions in Euclidean space respectively the Green functions in Minkowski space, both in position and momentum space representation, and also on Riemannian spaces.
Efremov AN, Guida R, Kopper C
Renormalization of SU(2) Yang-Mills theory with flow equations.
Journal of Mathematical Physics 2017;58(9):093503.
Holland J., Hollands S., Kopper C.
The operator product expansion converges in massless phi(4)(4)-Theory.
Communications in Mathemathical Physics 2016;342(2):385-440.
Kopper C., Hollands S.
The operator product expansion converges in perturbative field theory,
Communications in Mathemathical Physics 313(3) : 257-290 (2012)
Kopper C., Lévêque B.
Regularized path integrals and anomalies: U(1) chiral gauge theory,
Journal of Mathematical Physics 53: 022305 (2012)
Guida R., Kopper C.
All-order uniform momentum bounds for the massless phi^4 theory in four dimensional Euclidean space.
In: Talk given by RG at the Oberwolfach workshop "The Renormalization Group", March 13th - March 19th, 2011.
On the local Borel transform of Perturbation Theory.
Communications in Mathemathical Physics 295(3): 669-699 (2010)