Analytic Tools for Feynman Integrals (Record no. 103808)

000 -LEADER
fixed length control field 03568nam a22004815i 4500
001 - CONTROL NUMBER
control field 978-3-642-34886-0
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220083330.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130125s2012 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642348860
-- 978-3-642-34886-0
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-34886-0
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC770-798
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHP
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI051000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 539.7
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Smirnov, Vladimir A.
Relator term author.
245 10 - TITLE STATEMENT
Title Analytic Tools for Feynman Integrals
Medium [electronic resource] /
Statement of responsibility, etc by Vladimir A. Smirnov.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 2012.
300 ## - PHYSICAL DESCRIPTION
Extent IX, 296 p. 63 illus.
Other physical details online resource.
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-- txt
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-- computer
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-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Springer Tracts in Modern Physics,
International Standard Serial Number 0081-3869 ;
Volume number/sequential designation 250
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Field theory (Physics).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Particle and Nuclear Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Field Theory and Polynomials.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Numerical and Computational Physics.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642348853
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Springer Tracts in Modern Physics,
-- 0081-3869 ;
Volume number/sequential designation 250
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-34886-0
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