Feynman motives (Record no. 23440)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03198nam a2200289Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260129110133.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220909b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789814304481 |
| 037 ## - SOURCE OF ACQUISITION | |
| Terms of availability | Textbook |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CSL |
| Language of cataloging | eng |
| Transcribing agency | CSL |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | Cz7 Q0 TC |
| Assigning agency | CSL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Marcolli, Matilde |
| 9 (RLIN) | 1112601 |
| 245 #0 - TITLE STATEMENT | |
| Title | Feynman motives |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New Jersey, |
| Name of publisher, distributor, etc. | World Scientific: |
| Date of publication, distribution, etc. | 2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 220p. |
| Other physical details | : ill. |
| 500 ## - GENERAL NOTE | |
| General note | Bibliography 207-214p.; Index 215-220p. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods. One of the main questions in the field is understanding when the residues of Feynman integrals in perturbative quantum field theory evaluate to periods of mixed Tate motives. The question originates from the occurrence of multiple zeta values in Feynman integrals calculations observed by Broadhurst and Kreimer.Two different approaches to the subject are described. The first, a "bottom-up" approach, constructs explicit algebraic varieties and periods from Feynman graphs and parametric Feynman integrals. This approach, which grew out of work of Bloch-Esnault-Kreimer and was more recently developed in joint work of Paolo Aluffi and the author, leads to algebro-geometric and motivic versions of the Feynman rules of quantum field theory and concentrates on explicit constructions of motives and classes in the Grothendieck ring of varieties associated to Feynman integrals. While the varieties obtained in this way can be arbitrarily complicated as motives, the part of the cohomology that is involved in the Feynman integral computation might still be of the special mixed Tate kind. A second, "top-down" approach to the problem, developed in the work of Alain Connes and the author, consists of comparing a Tannakian category constructed out of the data of renormalization of perturbative scalar field theories, obtained in the form of a Riemann-Hilbert correspondence, with Tannakian categories of mixed Tate motives. The book draws connections between these two approaches and gives an overview of other ongoing directions of research in the field, outlining the many connections of perturbative quantum field theory and renormalization to motives, singularity theory, Hodge structures, arithmetic geometry, supermanifolds, algebraic and non-commutative geometry.The text is aimed at researchers in mathematical physics, high energy physics, number theory and algebraic geometry. Partly based on lecture notes for a graduate course given by the author at Caltech in the fall of 2008, it can also be used by graduate students interested in working in this area.<br/> |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Feynman integrals |
| 9 (RLIN) | 1112602 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Motives |
| 9 (RLIN) | 1112603 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Quantum field theory |
| 9 (RLIN) | 1112604 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Quantum theory |
| 9 (RLIN) | 1112605 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Physics |
| 9 (RLIN) | 1112606 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Classification part | Cz7 Q0 TC |
| Koha item type | Textbook |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Central Science Library | Central Science Library | 2022-09-12 | 1134, 23/09/2010, Ashutosh Technical Books | Cz7 Q0 TC | SL1533540 | 2022-09-12 | 2022-09-12 | Textbook |