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pro vyhledávání: '"Bellon, Marc P."'
Autor:
Bellon, Marc P.
The parametric representation has been used since a long time for the evaluation of Feynman diagrams. As a dimension independent intermediate representation, it allows a clear description of singularities. Recently, it has become a choice tool for th
Externí odkaz:
http://arxiv.org/abs/2207.05028
Autor:
Bellon, Marc P., Russo, Enrico I.
Publikováno v:
SIGMA 17 (2021), 075, 18 pages
Building on our recent derivation of the Ward-Schwinger-Dyson equations for the cubic interaction model, we present here the first steps of their resurgent analysis. In our derivation of the WSD equations, we made sure that they had the properties of
Externí odkaz:
http://arxiv.org/abs/2011.13822
Autor:
Bellon, Marc P., Russo, Enrico I.
We develop a system of equations for the propagators and three point functions of the $\phi^3$ quantum field theory in six dimensions. Inspired from a refinement by Ward on the Schwinger--Dyson equations, the main characteristics of this system are t
Externí odkaz:
http://arxiv.org/abs/2007.15675
Autor:
Bellon, Marc P., Clavier, Pierre J.
From 't Hooft's argument, one expects that the analyticity domain of an asymptotically free quantum field theory is horned shaped. In the usual Borel summation, the function is obtained through a Laplace transform and thus has a much larger analytici
Externí odkaz:
http://arxiv.org/abs/1806.08254
Autor:
Bellon, Marc P.
Publikováno v:
Front. Phys. (2016) 11: 113201
In many domains of physics, methods are needed to deal with non-perturbative aspects. I want here to argue that a good approach is to work on the Borel transforms of the quantities of interest, the singularities of which give non-perturbative contrib
Externí odkaz:
http://arxiv.org/abs/1701.02294
Alien calculus and a Schwinger--Dyson equation: two-point function with a nonperturbative mass scale
Autor:
Bellon, Marc P., Clavier, Pierre J.
Publikováno v:
Lett. Math. Phys. 108 (2018) 391-412
Starting from the Schwinger--Dyson equation and the renormalization group equation for the massless Wess--Zumino model, we compute the dominant nonperturbative contributions to the anomalous dimension of the theory, which are related by alien calculu
Externí odkaz:
http://arxiv.org/abs/1612.07813
Autor:
Bellon, Marc P., Clavier, Pierre J.
Publikováno v:
Lett. Math. Phys. 105 (2015) 795-825
We map the Schwinger--Dyson equation and the renormalization group equation for the massless Wess--Zumino model in the Borel plane, where the product of functions get mapped to a convolution product. The two-point function can be expressed as a super
Externí odkaz:
http://arxiv.org/abs/1411.7190
Autor:
Bellon, Marc P., Clavier, Pierre J.
Building on our previous works on perturbative solutions to a Schwinger-Dyson for the massless Wess-Zumino model, we show how to compute 1/n corrections to its asymptotic behavior. The coefficients are analytically determined through a sum on all the
Externí odkaz:
http://arxiv.org/abs/1311.1160
Publikováno v:
Nuclear Physics B 867 (2013) 330-353
We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covari
Externí odkaz:
http://arxiv.org/abs/1207.4399
Autor:
Bellon, Marc P., Schaposnik, Fidel A.
Publikováno v:
Letters in Mathematical Physics, 103 (2013), pp 881-893
We consider the effects of higherloop corrections to a Schwinger--Dyson equations for propagators. This is made possible by the efficiency of the methods we developed in preceding works, still using the supersymmetric Wess--Zumino model as a laborato
Externí odkaz:
http://arxiv.org/abs/1205.0022