Article

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

06/2012;
Source: arXiv

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 also consider
two applications of these techniques in string theory

0 0
 · 
0 Bookmarks
 · 
37 Views
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.

Keywords

address general aspects
 
instanton effects
 
large N instantons
 
lectures
 
matrix models
 
non-perturbative instanton effects
 
pedagogical way
 
quantum field theory
 
resurgent analysis
 
resurgent version
 
Stokes phenomenon
 
techniques
 
trans-series