The Resource Analytic Tools for Feynman Integrals, by Vladimir A. Smirnov, (electronic resource)

Analytic Tools for Feynman Integrals, by Vladimir A. Smirnov, (electronic resource)

Label
Analytic Tools for Feynman Integrals
Title
Analytic Tools for Feynman Integrals
Statement of responsibility
by Vladimir A. Smirnov
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added: One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, “Applied Asymptotic Expansions in Momenta and Masses,” by the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes
Member of
http://library.link/vocab/creatorName
Smirnov, Vladimir A
Dewey number
515.43
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
_ltASKiUwKM
Image bit depth
0
Language note
English
LC call number
QC770-798
Literary form
non fiction
Series statement
Springer Tracts in Modern Physics,
http://library.link/vocab/subjectName
  • Quantum theory
  • Field theory (Physics)
  • Particle and Nuclear Physics
  • Quantum Physics
  • Field Theory and Polynomials
  • Numerical and Computational Physics, Simulation
Label
Analytic Tools for Feynman Integrals, by Vladimir A. Smirnov, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Introduction -- Feynman Integrals: Basic Definitions and Tools.-Evaluating by Alpha and Feynman Parameters -- Sector Decompositions -- Evaluating by Mellin-Barnes Representation -- Integration by Parts and Reduction to Master Integrals -- Evaluation by Differential Equations -- Evaluating Master Integrals by Dimensional Recurrence and Analyticity -- Asymptotic Expansions in Momenta and Masses -- Tables -- Some Special Functions- Summation Formulae -- Table of MB Integrals.- A Brief Review of Some Other Methods
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (X, 298 p.)
File format
multiple file formats
Form of item
online
Isbn
9783642348860
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-34886-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3460000000120311
  • (SSID)ssj0000855430
  • (PQKBManifestationID)11469781
  • (PQKBTitleCode)TC0000855430
  • (PQKBWorkID)10913723
  • (PQKB)11092099
  • (DE-He213)978-3-642-34886-0
  • (EXLCZ)993460000000120311
Label
Analytic Tools for Feynman Integrals, by Vladimir A. Smirnov, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Introduction -- Feynman Integrals: Basic Definitions and Tools.-Evaluating by Alpha and Feynman Parameters -- Sector Decompositions -- Evaluating by Mellin-Barnes Representation -- Integration by Parts and Reduction to Master Integrals -- Evaluation by Differential Equations -- Evaluating Master Integrals by Dimensional Recurrence and Analyticity -- Asymptotic Expansions in Momenta and Masses -- Tables -- Some Special Functions- Summation Formulae -- Table of MB Integrals.- A Brief Review of Some Other Methods
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (X, 298 p.)
File format
multiple file formats
Form of item
online
Isbn
9783642348860
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-34886-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3460000000120311
  • (SSID)ssj0000855430
  • (PQKBManifestationID)11469781
  • (PQKBTitleCode)TC0000855430
  • (PQKBWorkID)10913723
  • (PQKB)11092099
  • (DE-He213)978-3-642-34886-0
  • (EXLCZ)993460000000120311

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