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)
 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 DysonSchwinger 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
 Language
 eng
 Extent
 IX, 120 p. 16 illus.
 Contents

 Part I Preliminaries
 Introduction
 Quantum field theory set up
 Combinatorial classes and rooted trees
 The ConnesKreimer Hopf algebra
 Feynman graphs
 Part II DysonSchwinger equations
 Introduction to DysonSchwinger equations
 SubHopf algebras from DysonSchwinger equations
 Tree factorial and leading log toys
 Chord diagram expansions
 Differential equations and the (nextto)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
 Isbn
 9783319475516
 Label
 A Combinatorial Perspective on Quantum Field Theory
 Title
 A Combinatorial Perspective on Quantum Field Theory
 Statement of responsibility
 by Karen Yeats
 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 DysonSchwinger 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
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 SpringerBriefs in Mathematical Physics,
 Series volume
 15
 Label
 A Combinatorial Perspective on Quantum Field Theory, by Karen Yeats, (electronic resource)
 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 ConnesKreimer Hopf algebra  Feynman graphs  Part II DysonSchwinger equations  Introduction to DysonSchwinger equations  SubHopf algebras from DysonSchwinger equations  Tree factorial and leading log toys  Chord diagram expansions  Differential equations and the (nextto)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
 http://library.link/vocab/cover_art
 https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319475516&userID=ebscotest&password=ebscotest
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 http://library.link/vocab/discovery_link
 {'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.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/ACombinatorialPerspectiveonQuantumField/dRFL1pLaXw/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/ACombinatorialPerspectiveonQuantumField/dRFL1pLaXw/">A Combinatorial Perspective on Quantum Field Theory, by Karen Yeats, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>