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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 (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 17 November 2019

Fermions and Functional Formalism

Fermions and Functional Formalism

Chapter:
(p.240) 11 Fermions and Functional Formalism
Source:
From Classical to Quantum Fields
Author(s):

Laurent Baulieu

John Iliopoulos

Roland Sénéor

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198788393.003.0011

The introduction of spinor fields and the problem of the positivity of the energy. Need for anti-commutators. Calculus in a Grassmannian manifold, the Berezin integral. Clifford algebras. Quantum mechanics and quantum field theory with fermions. The use of path integrals.

Keywords:   fermions, Grassmann algebra, Berezin integral, Clifford algebra, anti-commutators

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