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From Classical to Quantum Fields$
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Laurent Baulieu, John Iliopoulos, and Roland Sénéor

Print publication date: 2017

Print ISBN-13: 9780198788393

Published to Oxford Scholarship Online: May 2017

DOI: 10.1093/oso/9780198788393.001.0001

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Quantum Field Theories with a Large Number of Fields

Quantum Field Theories with a Large Number of Fields

Chapter:
(p.566) 23 Quantum Field Theories with a Large Number of Fields
Source:
From Classical to Quantum Fields
Author(s):

Laurent Baulieu

John Iliopoulos

Roland Sénéor

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198788393.003.0023

The large N limit of field theories is studied for fields belonging to the vector representation of O(N) and the adjoint representation of SU(N). The first case gives a solvable model while in the second case a classical field theory may emerge with the commutators replaced by Poisson brackets.

Keywords:   Large N-limit, bubble diagrams, planar diagrams, area-preserving diffeomorphisms

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