000 02235nam a22003738i 4500
001 CR9780511564024
003 UkCbUP
005 20200124160236.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090518s2000||||enk o ||1 0|eng|d
020 _a9780511564024 (ebook)
020 _z9780521587617 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.52.K56
_bK74 2000
082 0 0 _a530.14/3
_221
100 1 _aKreimer, Dirk,
_d1960-
_eauthor.
245 1 0 _aKnots and Feynman diagrams /
_cDirk Kreimer.
246 3 _aKnots & Feynman Diagrams
264 1 _aCambridge :
_bCambridge University Press,
_c2000.
300 _a1 online resource (xii, 259 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge lecture notes in physics ;
_v13
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormalization, early chapters discuss the rationality of ladder diagrams and simple link diagrams. The necessary basics of knot theory are then presented and the number-theoretic relationship between the topology of Feynman diagrams and knot theory is explored. Later chapters discuss four-term relations motivated by the discovery of Vassiliev invariants in knot theory and draw a link to algebraic structures recently observed in noncommutative geometry. Detailed references are included. Dealing with material at perhaps the most productive interface between mathematics and physics, the book will be of interest to theoretical and particle physicists, and mathematicians.
650 0 _aQuantum field theory.
650 0 _aKnot theory.
650 0 _aFeynman diagrams.
776 0 8 _iPrint version:
_z9780521587617
830 0 _aCambridge lecture notes in physics ;
_v13.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511564024
999 _c518060
_d518058