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Combinatorial Physics: Combinatorics, Quantum Field Theory, and Quantum Gravity Models

Combinatorial Physics: Combinatorics, Quantum Field Theory, and Quantum Gravity Models

Hardcover

General ComputersGeneral MathematicsPhysics

ISBN10: 0192895494
ISBN13: 9780192895493
Publisher: Oxford University Press
Published: Jun 16 2021
Pages: 410
Weight: 2.07
Height: 1.00 Width: 6.90 Depth: 9.80
Language: English
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.

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General Mathematics