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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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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 18 October 2021

A First Glance at Renormalisation and Symmetry

A First Glance at Renormalisation and Symmetry

(p.462) 17 A First Glance at Renormalisation and Symmetry
From Classical to Quantum Fields

Laurent Baulieu

John Iliopoulos

Roland Sénéor

Oxford University Press

The fate of the classical symmetries in a quantum field theory after renormalisation. Global symmetries versus gaugec symmetries. The Adler–Bell–Jackiw anomaly. The breaking of scale invariance and the Callan–Symanzik equation. The example of a non-perturbative anomaly.

Keywords:   symmetries, anomalies, axial anomaly, Adler–Bell–Jackiw, scale invariance, Callan–Symanzik equation

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