The Resource Graphs in Perturbation Theory : Algebraic Structure and Asymptotics, by Michael Borinsky, (electronic resource)

Graphs in Perturbation Theory : Algebraic Structure and Asymptotics, by Michael Borinsky, (electronic resource)

Label
Graphs in Perturbation Theory : Algebraic Structure and Asymptotics
Title
Graphs in Perturbation Theory
Title remainder
Algebraic Structure and Asymptotics
Statement of responsibility
by Michael Borinsky
Creator
Author
Author
Subject
Language
eng
Summary
This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond
Member of
http://library.link/vocab/creatorName
Borinsky, Michael
Dewey number
530.143
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
_iZhifkrNA8
LC call number
QC5.53
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
http://library.link/vocab/subjectName
  • Mathematical physics
  • Quantum theory
  • Mathematical Methods in Physics
  • Applications of Graph Theory and Complex Networks
  • Graph Theory
  • Elementary Particles, Quantum Field Theory
Label
Graphs in Perturbation Theory : Algebraic Structure and Asymptotics, by Michael Borinsky, (electronic resource)
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Graphs -- Graphical enumeration -- The ring of factorially divergent power series -- Coalgebraic graph structures -- The Hopf algebra of Feynman diagrams -- Examples from zero-dimensional QFT
Dimensions
unknown
Edition
1st ed. 2018.
Extent
1 online resource (xviii, 173 pages)
Form of item
online
Isbn
9783030035419
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03541-9
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
  • (CKB)4100000007110750
  • (MiAaPQ)EBC5592906
  • (DE-He213)978-3-030-03541-9
  • (EXLCZ)994100000007110750
Label
Graphs in Perturbation Theory : Algebraic Structure and Asymptotics, by Michael Borinsky, (electronic resource)
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Graphs -- Graphical enumeration -- The ring of factorially divergent power series -- Coalgebraic graph structures -- The Hopf algebra of Feynman diagrams -- Examples from zero-dimensional QFT
Dimensions
unknown
Edition
1st ed. 2018.
Extent
1 online resource (xviii, 173 pages)
Form of item
online
Isbn
9783030035419
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03541-9
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
  • (CKB)4100000007110750
  • (MiAaPQ)EBC5592906
  • (DE-He213)978-3-030-03541-9
  • (EXLCZ)994100000007110750

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