The interplay between combinatorics and theoretical physics is a recent trend which appears to us as particularly natural, since the unfolding of new ideas in physics is often tied to the development of combinatorial methods, and, conversely, problems in combinatorics have been successfully tackled using methods inspired by theoretical physics. We can thus speak nowadays of an emerging domain of Combinatorial Physics. The interference between these two disciplines is moreover an interference of multiple facets. Its best known manifestation (both to combinatorialists and theoretical physicists) has so far been the one between combinatorics and statistical physics, as statistical physics relies on an accurate counting of the various states or configurations of a physical system. But combinatorics and theoretical physics interact in various other ways. This book is mainly dedicated to the interactions of combinatorics (algebraic, enumerative, analytic) with (commutative and non-commutative) quantum field theory and tensor models, the latter being seen as a quantum field theoretical generalisation of matrix models.
About the AuthorBetween 2010 and 2015, Adrian Tanasa was an Associate Professor at Paris North University. In September 2015, he became a Full Professor at Bordeaux University. He is the founder of the journal "Annals of the Institut Henri Poincare D, Combinatorics, Physics and their Interactions".
ReviewsA useful compendium of relevant subjects and it give the information about useful references in the field. * Juan Carlos Vazquez, zb Math Open *
An outstanding book on a recent and very timely topic. * Vincent Rivasseau, University Paris-Sud XI, Orsay *
This book appears at a time where there is a crucial need for such a cross-fertilisation of combinatorics and theoretical physics. * Thomas Krajewski, Aix-Marseille University *
Book InformationISBN 9780192895493
Author Adrian TanasaFormat Hardback
Page Count 410
Imprint Oxford University PressPublisher Oxford University Press
Weight(grams) 932g
Dimensions(mm) 255mm * 180mm * 25mm