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The Resource A Combinatorial Perspective on Quantum Field Theory, by Karen Yeats, (electronic resource)

A Combinatorial Perspective on Quantum Field Theory, by Karen Yeats, (electronic resource)

Label
A Combinatorial Perspective on Quantum Field Theory
Title
A Combinatorial Perspective on Quantum Field Theory
Statement of responsibility
by Karen Yeats
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Author
Subject
Language
eng
Summary
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author{u2019}s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics. The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians
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0
Literary form
non fiction
Series statement
SpringerBriefs in Mathematical Physics,
Series volume
15
A Combinatorial Perspective on Quantum Field Theory, by Karen Yeats, (electronic resource)
Label
A Combinatorial Perspective on Quantum Field Theory, by Karen Yeats, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-3-319-47551-6
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Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Part I Preliminaries -- Introduction -- Quantum field theory set up -- Combinatorial classes and rooted trees -- The Connes-Kreimer Hopf algebra -- Feynman graphs -- Part II Dyson-Schwinger equations -- Introduction to Dyson-Schwinger equations -- Sub-Hopf algebras from Dyson-Schwinger equations -- Tree factorial and leading log toys -- Chord diagram expansions -- Differential equations and the (next-to)m leading log expansion -- Part III Feynman periods -- Feynman integrals and Feynman periods -- Period preserving graph symmetries -- An invariant with these symmetries -- Weight -- The c2 invariant -- Combinatorial aspects of some integration algorithms -- Index
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https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319475516&userID=ebsco-test&password=ebsco-test
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unknown
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{'f': 'http://opac.lib.rpi.edu/record=b4257790'}
Extent
IX, 120 p. 16 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319475516
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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