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Path integrals and anomalies in curved space /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Path integrals and anomalies in curved space // Fiorenzo Bastianelli, Peter Van Nieuwenhuizen.
其他題名:	Path Integrals & Anomalies in Curved Space
作者:	Bastianelli, Fiorenzo,
其他作者:	Van Nieuwenhuizen, Peter,
面頁冊數:	1 online resource (xvii, 379 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Curves. -
電子資源:	https://doi.org/10.1017/CBO9780511535031
ISBN:	9780511535031 (ebook)

Path integrals and anomalies in curved space /
Bastianelli, Fiorenzo,

Path integrals and anomalies in curved space /Path Integrals & Anomalies in Curved SpaceFiorenzo Bastianelli, Peter Van Nieuwenhuizen. - 1 online resource (xvii, 379 pages) :digital, PDF file(s). - Cambridge monographs on mathematical physics. - Cambridge monographs on mathematical physics..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction to path integrals --1.

Path integrals provide a powerful method for describing quantum phenomena. This book introduces the quantum mechanics of particles that move in curved space by employing path integrals and then using them to compute anomalies in quantum field theories. The authors start by deriving path integrals for particles moving in curved space and their supersymmetric generalizations. They then discuss the regularization schemes essential to constructing and computing these path integrals. This topic is used to introduce regularization and renormalization in quantum field theories in a wider context. These methods are then applied to discuss and calculate anomalies in quantum field theory. Such anomalies provide enormous constraints in the search for physical theories of elementary particles, quantum gravity and string theories. An advanced text for researchers and graduate students of quantum field theory and string theory, the first part is also a stand-alone introduction to path integrals in quantum mechanics.

ISBN: 9780511535031 (ebook)Subjects--Topical Terms:

677089
Curves.

LC Class. No.: QC174.17.P27 / B37 2006

Dewey Class. No.: 530.143

Path integrals and anomalies in curved space /
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505 0 0 $g 1. $t Introduction to path integrals -- $g 2. $t Time slicing -- $g 3. $t Mode regularization -- $g 4. $t Dimensional regularization -- $g 5. $t Introduciton to anomalies -- $g 6. $t Chiral anomalies from susy quantum mechanics -- $g 7. $t Trace anomalies from ordinary and susy quantum mechanics -- $g 8. $t Conclusions and summary.
520 $a Path integrals provide a powerful method for describing quantum phenomena. This book introduces the quantum mechanics of particles that move in curved space by employing path integrals and then using them to compute anomalies in quantum field theories. The authors start by deriving path integrals for particles moving in curved space and their supersymmetric generalizations. They then discuss the regularization schemes essential to constructing and computing these path integrals. This topic is used to introduce regularization and renormalization in quantum field theories in a wider context. These methods are then applied to discuss and calculate anomalies in quantum field theory. Such anomalies provide enormous constraints in the search for physical theories of elementary particles, quantum gravity and string theories. An advanced text for researchers and graduate students of quantum field theory and string theory, the first part is also a stand-alone introduction to path integrals in quantum mechanics.
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