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arXiv · 1701.02294

Alien Calculus and non perturbative effects in Quantum Field Theory

Marc P. Bellon
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Abstract

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 contributions. These singularities in many cases can be largely determined by using the alien calculus developed by Jean \'Ecalle. My main example will be the two point function of a massless theory given as a solution of a renormalization group equation.

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Marc P. Bellon. 2017-01-09. Alien Calculus and non perturbative effects in Quantum Field Theory. https://doi.org/10.1007/s11467-016-0580-7

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