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Quantum chromodynamics and other field theories on the light cone
文摘
In recent years light-cone quantization of quantum field theory has emerged as a promising method for solving problems in the strong coupling regime. The approach has a number of unique features that make it particularly appealing, most notably, the ground state of the free theory is also a ground state of the full theory. We discuss the light-cone quantization of gauge theories from two perspectives: as a calculational tool for representing hadrons as QCD bound states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer. The light-cone Fock state expansion of wavefunctions provides a precise definition of the parton model and a general calculus for hadronic matrix elements. We present several new applications of light-cone Fock methods, including calculations of exclusive weak decays of heavy hadrons, and intrinsic heavy-quark contributions to structure functions. A general non-perturbative method for numerically solving quantum field theories, “discretized light-cone quantization”, is outlined and applied to several gauge theories. This method is invariant under the large class of light-cone Lorentz transformations, and it can be formulated such that ultraviolet regularization is independent of the momentum space discretization. Both the bound-state spectrum and the corresponding relativistic light-cone wavefunctions can be obtained by matrix diagonalization and related techniques. We also discuss the construction of the light-cone Fock basis, the structure of the light-cone vacuum, and outline the renormalization techniques required for solving gauge theories within the Hamiltonian formalism on the light cone. | Publisher: | Elsevier Science | Language of Publication: | English | Item Identifier: | S0370-1573(97)00089-6 | Publication Type: | Article | ISSN: | 0370-1573 | Cited by: | - Zhang, Yong-Jun; Zhang, Bin; Ma, Bo-Qiang,""Detailed balance and sea-quark flavor asymmetry of proton""Physics Letters B2001pp. 260-264
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Ji, X.; Yuan, F.,""Final state interactions and gauge invariant parton distributions""Nuclear Physics B2003pp. 165-198 cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v656i1-2&article=165_fsiagipd"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v656i1-2&article=165_fsiagipd&form=pdf&file=file.pdf"">Full TextJi, Xiangdong; Ma, Jian-Ping; Yuan, Feng,""Three-quark light-cone amplitudes of the proton and quark orbital-motion-dependent observables""Nuclear Physics B2003pp. 383-404 cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v652inone&article=383_tlaotpaqoo"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v652inone&article=383_tlaotpaqoo&form=pdf&file=file.pdf"">Full TextHiller, J.R.; Pinsky, S.S.; Trittmann, U.,""Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter""Nuclear Physics B2003pp. 99-112 cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v661i1-2&article=99_almiastwfm"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v661i1-2&article=99_almiastwfm&form=pdf&file=file.pdf"">Full TextPinsky, S.,""Anomalously light bound-states in SYM Cherns-Simons theory""Nuclear Physics B - Proceedings Supplements2003pp. 284-286 cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v119inone&article=284_albisct"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v119inone&article=284_albisct&form=pdf&file=file.pdf"">Full TextDiehl, M.,""Generalized parton distributions""Physics Reports2003pp. 41-277 cgi-bin/sciserv.pl?collection=journals&journal=03701573&issue=v388i2-4&article=41_gpd"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=03701573&issue=v388i2-4&article=41_gpd&form=pdf&file=file.pdf"">Full TextBrodsky, Stanley J.,""The light-cone fock representation in QCD""Nuclear Physics B - Proceedings Supplements2000pp. 3-13 cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=3_tlfriq"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=3_tlfriq&form=pdf&file=file.pdf"">Full TextLenz, Frieder,""The trivial light-cone vacuum and condensates""Nuclear Physics B - Proceedings Supplements2000pp. 46-50 cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=46_ttlvac"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=46_ttlvac&form=pdf&file=file.pdf"">Full TextPirner, Hans J.,""Wilson lines near the light cone""Nuclear Physics B - Proceedings Supplements2000pp. 51-54 cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=51_wlntlc"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=51_wlntlc&form=pdf&file=file.pdf"">Full TextMartinovic, L'ubomir; 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Pauli, Hans-Christian,""On rotations in front-form dynamics""Nuclear Physics B - Proceedings Supplements2000pp. 161-169 cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=161_orifd"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=161_orifd&form=pdf&file=file.pdf"">Full TextPinsky, Stephen,""Fundamental matter and SDLCQ""Nuclear Physics B - Proceedings Supplements2000pp. 245-251 cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=245_fmas"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=245_fmas&form=pdf&file=file.pdf"">Full TextPauli, Hans-Christian,""A compendium of light-cone quantization""Nuclear Physics B - Proceedings Supplements2000pp. 259-272 cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=259_acolq"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=259_acolq&form=pdf&file=file.pdf"">Full TextBassetto, A.; Griguolo, L.; Vian, F.,""Wilson Loops in the Adjoint Representation and Multiple Vacua in Two-Dimensional Yang-Mills Theory""Annals of Physics2000pp. 185-220 cgi-bin/sciserv.pl?collection=journals&journal=00034916&issue=v285i0002&article=185_wlitarmvityt"">Bibliographic Pagecgi-bin/sciserv.pl?collection=journals&journal=00034916&issue=v285i0002&article=185_wlitarmvityt&form=pdf&file=file.pdf"">Full Text | |