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Lectures on non-perturbative effects in large N gauge theories, matrix models and strings

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Published in Fortschritte der Physik. 2014, vol. 62, no. 5-6, p. 455-540
Abstract In these lectures I present a review of non-perturbative instanton effects in quantum theories, with a focus on large N gauge theories and matrix models. I first consider the structure of these effects in the case of ordinary differential equations, which provide a model for more complicated theories, and I introduce in a pedagogical way some technology from resurgent analysis, like trans-series and the resurgent version of the Stokes phenomenon. After reviewing instanton effects in quantum mechanics and quantum field theory, I address general aspects of large N instantons, and then present a detailed review of non-perturbative effects in matrix models. Finally, I consider two applications of these techniques in string theory.
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Other version: http://doi.wiley.com/10.1002/prop.201400005
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MARINO BEIRAS, Marcos. Lectures on non-perturbative effects in large N gauge theories, matrix models and strings. In: Fortschritte der Physik, 2014, vol. 62, n° 5-6, p. 455-540. https://archive-ouverte.unige.ch/unige:40525

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Deposited on : 2014-09-26

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