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Phase Transitions and Renormalization Group$
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Jean Zinn-Justin

Print publication date: 2007

Print ISBN-13: 9780199227198

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199227198.001.0001

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Continuum limit and path integrals

Continuum limit and path integrals

(p.111) 5 Continuum limit and path integrals
Phase Transitions and Renormalization Group

Jean Zinn-Justin

Oxford University Press

This chapter shows that, as in the case of the random walk, one can associate to the continuum limit a path integral, which generalizes the path integral of the Brownian motion. It first studies the Gaussian example (which is simpler) and then the general case. Exercises are provided at the end of the chapter.

Keywords:   Gaussian path integrals, continuum limit, Brownian motion, Wick′s theorem

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