LEADER 02879nam 2200637 450 001 9910480591803321 005 20170821170616.0 010 $a0-8218-8220-1 010 $a0-8218-7401-2 035 $a(CKB)3240000000070064 035 $a(EBL)3113245 035 $a(SSID)ssj0000712538 035 $a(PQKBManifestationID)11380585 035 $a(PQKBTitleCode)TC0000712538 035 $a(PQKBWorkID)10644871 035 $a(PQKB)11718945 035 $a(MiAaPQ)EBC3113245 035 $a(WaSeSS)Ind00039501 035 $a(PPN)197108709 035 $a(EXLCZ)993240000000070064 100 $a20101229h20112011 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInteractions between hyperbolic geometry, quantum topology and number theory $eworkshop, June 3-13, 2009, conference, June 15-19, 2009, Columbia University, New York, NY /$fAbhijit Champanerkar [and five others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2011] 210 4$d©2011 215 $a1 online resource (273 p.) 225 1 $aContemporary Mathematics ;$vvolume 541 300 $aDescription based upon print version of record. 311 $a0-8218-4960-3 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Preface""; ""List of Participants""; ""An Introduction to the Volume Conjecture""; ""Quantum Field Theory and the Volume Conjecture""; ""R-Matrix Knot Invariants and Triangulations""; ""Knots and Tropical Curves""; ""Quantum Coadjoint Action and the 6j-Symbols of Uqsl2""; ""What is a Sequence of Nilsson Type?""; ""From Angled Triangulations to Hyperbolic Structures""; ""Triangulated 3-Manifolds: From Haken's Normal Surfaces to Thurston's Algebraic Equation""; ""An Introduction to Fully Augmented Links""; ""Orbifolds and Commensurability"" 327 $a""Realizing Arithmetic Invariants of Hyperbolic 3-Manifolds""""Fields of Definition of Canonical Curves"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 541. 606 $aLow-dimensional topology$vCongresses 606 $aManifolds (Mathematics)$vCongresses 606 $aQuantum field theory$vCongresses 606 $aNumber theory$vCongresses 608 $aElectronic books. 615 0$aLow-dimensional topology 615 0$aManifolds (Mathematics) 615 0$aQuantum field theory 615 0$aNumber theory 676 $a514/.22 702 $aChampanerkar$b Abhijit$f1975- 712 12$aWorkshop on Interactions between Hyperbolic Geometry, Quantum Topology and Number Theory 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480591803321 996 $aInteractions between hyperbolic geometry, quantum topology and number theory$9762775 997 $aUNINA LEADER 03763nam 2200709 450 001 9910822931203321 005 20230803200334.0 010 $a3-11-038293-8 010 $a3-11-030921-1 024 7 $a10.1515/9783110309218 035 $a(CKB)3360000000514987 035 $a(EBL)1663082 035 $a(SSID)ssj0001441635 035 $a(PQKBManifestationID)11919169 035 $a(PQKBTitleCode)TC0001441635 035 $a(PQKBWorkID)11412738 035 $a(PQKB)11313796 035 $a(MiAaPQ)EBC1663082 035 $a(DE-B1597)207414 035 $a(OCoLC)960201749 035 $a(OCoLC)979760071 035 $a(DE-B1597)9783110309218 035 $a(Au-PeEL)EBL1663082 035 $a(CaPaEBR)ebr11010324 035 $a(CaONFJC)MIL808058 035 $a(OCoLC)898769798 035 $a(EXLCZ)993360000000514987 100 $a20150209h20142014 uy 0 101 0 $aeng 135 $aur|nu---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aWilson lines in quantum field theory /$fIgor Olegovich Cherednikov, Tom Mertens, Frederik F. Van der Veken 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2014. 210 4$d©2014 215 $a1 online resource (269 p.) 225 1 $aDe Gruyter Studies in Mathematical Physics,$x2194-3532 ;$vVolume 24 300 $aDescription based upon print version of record. 311 $a3-11-030910-6 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tContents --$t1 Introduction: What are Wilson lines? --$t2 Prolegomena to the mathematical theory of Wilson lines --$t3 The group of generalized loops and its Lie algebra --$t4 Shape variations in the loop space --$t5 Wilson lines in high-energy QCD --$tA. Mathematical vocabulary --$tB. Notations and conventions in quantum field theory --$tC. Color algebra --$tD. Brief literature guide --$tBibliography --$tIndex 330 $aWilson lines (also known as gauge links or eikonal lines) can be introduced in any gauge field theory. Although the concept of the Wilson exponentials finds an enormously wide range of applications in a variety of branches of modern quantum field theory, from condensed matter and lattice simulations to quantum chromodynamics, high-energy effective theories and gravity, there are surprisingly few books or textbooks on the market which contain comprehensive pedagogical introduction and consecutive exposition of the subject. The objective of this book is to get the potential reader acquainted with theoretical and mathematical foundations of the concept of the Wilson loops in the context of modern quantum field theory, to teach him/her to perform independently some elementary calculations with Wilson lines, and to familiarize him/her with the recent development of the subject in different important areas of research. The target audience of the book consists of graduate and postgraduate students working in various areas of quantum field theory, as well as researchers from other fields. 410 0$aDe Gruyter studies in mathematical physics ;$vVolume 24. 606 $aLoops (Group theory) 606 $aQuantum field theory$xMathematics 606 $aGauge fields (Physics) 615 0$aLoops (Group theory) 615 0$aQuantum field theory$xMathematics. 615 0$aGauge fields (Physics) 676 $a530.14/35 686 $aUO 4060$2rvk 700 $aCherednikov$b Igor Olegovich$01677572 702 $aMertens$b Tom 702 $aVeken$b Frederik F. 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