Quantum chromodynamics and other field theories on the light cone
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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, &ldquo;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. 100"" bgcolor=""#F0F0F0"" valign=""top""> l"" size=""-1"" color=""black""> Publisher: lign=""top""> l"" size=""-1"" color=""black""> Elsevier Science 100"" bgcolor=""#F0F0F0"" valign=""top""> l"" size=""-1"" color=""black""> Language of Publication: lign=""top""> l"" size=""-1"" color=""black""> English 100"" bgcolor=""#F0F0F0"" valign=""top""> l"" size=""-1"" color=""black""> Item Identifier: lign=""top""> l"" size=""-1"" color=""black""> S0370-1573(97)00089-6 100"" bgcolor=""#F0F0F0"" valign=""top""> l"" size=""-1"" color=""black""> Publication Type: lign=""top""> l"" size=""-1"" color=""black""> Article 100"" bgcolor=""#F0F0F0"" valign=""top""> l"" size=""-1"" color=""black""> ISSN: lign=""top""> l"" size=""-1"" color=""black""> 0370-1573 100"" bgcolor=""#F0F0F0"" valign=""top""> l"" size=""-1"" color=""black""> Cited by: lign=""top""> l"" size=""-1"" color=""black"">l> <li>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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120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=03759474&issue=v694i1-2&article=351_rqsceitcbnep"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=03759474&issue=v694i1-2&article=351_rqsceitcbnep&form=pdf&file=file.pdf"">Full Textli><li>Ji, Chueng-Ryong; Choi, Ho-Meoyng,""New effective treatment of the light-front nonvalence contribution in timelike exclusive processes""Physics Letters B2001pp. 330-336
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120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v108inone&article=310_pffaqmeialqm"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v108inone&article=310_pffaqmeialqm&form=pdf&file=file.pdf"">Full Textli><li>Brodsky, S.J.,""Physics at the light-front""Nuclear Physics B - Proceedings Supplements2002pp. 327-339
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v108inone&article=327_patl"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v108inone&article=327_patl&form=pdf&file=file.pdf"">Full Textli><li>Ferreira, Lidia S.; Cattapan, Giorgio,""The role of the D in nuclear physics""Physics Reports2002pp. 303-407
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120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=03702693&issue=v528i3-4&article=228_pdopiassm"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=03702693&issue=v528i3-4&article=228_pdopiassm&form=pdf&file=file.pdf"">Full Textli><li>Beneke, M.; Chapovsky, A.P.; Diehl, M.; Feldmann, Th.,""Soft-collinear effective theory and heavy-to-light currents beyond leading power""Nuclear Physics B2002pp. 431-476
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v643i1-3&article=431_setahcblp"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v643i1-3&article=431_setahcblp&form=pdf&file=file.pdf"">Full Textli><li>Boffi, S.; Pasquini, B.; Traini, M.,""Linking generalized parton distributions to constituent quark models""Nuclear Physics B2003pp. 243-262
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v649i1-2&article=243_lgpdtcqm"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v649i1-2&article=243_lgpdtcqm&form=pdf&file=file.pdf"">Full Textli><li>Pinsky, S.S.,""Discrete light-cone quantization on a twisted torus""Physics Letters B2003pp. 273-277
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=03702693&issue=v557i3-4&article=273_dlqoatt"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=03702693&issue=v557i3-4&article=273_dlqoatt&form=pdf&file=file.pdf"">Full Textli><li>Metsaev, R.R.,""Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds""Nuclear Physics B2003pp. 3-56
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v655i1-2&article=3_sdbansaipwb"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v655i1-2&article=3_sdbansaipwb&form=pdf&file=file.pdf"">Full Textli><li>Belitsky, A.V.; Ji, X.; Yuan, F.,""Final state interactions and gauge invariant parton distributions""Nuclear Physics B2003pp. 165-198
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v656i1-2&article=165_fsiagipd"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v656i1-2&article=165_fsiagipd&form=pdf&file=file.pdf"">Full Textli><li>Ji, 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
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v652inone&article=383_tlaotpaqoo"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=05503213&issue=v652inone&article=383_tlaotpaqoo&form=pdf&file=file.pdf"">Full Textli><li>Hiller, 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
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120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v119inone&article=284_albisct"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v119inone&article=284_albisct&form=pdf&file=file.pdf"">Full Textli><li>Diehl, M.,""Generalized parton distributions""Physics Reports2003pp. 41-277
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120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=3_tlfriq"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=3_tlfriq&form=pdf&file=file.pdf"">Full Textli><li>Lenz, Frieder,""The trivial light-cone vacuum and condensates""Nuclear Physics B - Proceedings Supplements2000pp. 46-50
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=46_ttlvac"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=46_ttlvac&form=pdf&file=file.pdf"">Full Textli><li>Pirner, Hans J.,""Wilson lines near the light cone""Nuclear Physics B - Proceedings Supplements2000pp. 51-54
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=51_wlntlc"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=51_wlntlc&form=pdf&file=file.pdf"">Full Textli><li>Martinovic, L'ubomir; Vary, James P.,""Light-front aspects of chiral symmetry""Nuclear Physics B - Proceedings Supplements2000pp. 57-60
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=57_laocs"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=57_laocs&form=pdf&file=file.pdf"">Full Textli><li>Vian, F.; Bassetto, A.; Griguolo, L.,""Multiple vacua in two-dimensional Yang-Mills theory""Nuclear Physics B - Proceedings Supplements2000pp. 61-63
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=61_mvityt"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=61_mvityt&form=pdf&file=file.pdf"">Full Textli><li>Heinzl, T.,""The light-cone wave function of the pion""Nuclear Physics B - Proceedings Supplements2000pp. 83-86
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=83_tlwfotp"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=83_tlwfotp&form=pdf&file=file.pdf"">Full Textli><li>Perry, Robert J.,""Glue in the light-front pion""Nuclear Physics B - Proceedings Supplements2000pp. 87-90
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=87_gitlp"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=87_gitlp&form=pdf&file=file.pdf"">Full Textli><li>Brisudova, M.M.; Burakovsky, L.; Goldman, T.,""Lessons from hadron phenomenology""Nuclear Physics B - Proceedings Supplements2000pp. 120-122
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=120_lfhp"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=120_lfhp&form=pdf&file=file.pdf"">Full Textli><li>Mangin-Brinet, M.; Carbonell, J.; Karmanov, V.A.,""Weak binding limit and non zero angular momentum states in light-front dynamics""Nuclear Physics B - Proceedings Supplements2000pp. 123-126
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=123_wblanzamsild"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=123_wblanzamsild&form=pdf&file=file.pdf"">Full Textli><li>Pauli, Hans-Christian,""Applying the flow equations to QCD""Nuclear Physics B - Proceedings Supplements2000pp. 147-153
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120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=245_fmas"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=245_fmas&form=pdf&file=file.pdf"">Full Textli><li>Pauli, Hans-Christian,""A compendium of light-cone quantization""Nuclear Physics B - Proceedings Supplements2000pp. 259-272
120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=259_acolq"">Bibliographic Page120.13.78/cgi-bin/sciserv.pl?collection=journals&journal=09205632&issue=v90inone&article=259_acolq&form=pdf&file=file.pdf"">Full Textli><li>Bassetto, 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
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1""/>l"" size=""-1"" color=""black""> Footnotes: l>1""><li>

Work partially supported by the Department of Energy, contract DE-AC03-76SF00515, by the National Natural Science Foundation of China under grants No. 19605006 and No. 19975052, by Fondecyt (Chile) under grants 1990806 and 8000017, and by a Catedra Presidencial (Chile).

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