Papers by S. G. Rajeev

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1 Papers by July Multi-particle Schrödinger operators with point interactions in the plane J. Dimock, S.G. Rajeev arxiv:math-ph/ The dilatation operator of N = 4 SYM and classical limits of spin chains and matrix models A. Agarwal and arxiv:hep-th/ Three Dimensional Simplicial Yang-Mills Theory: An Approach to the Mass Gap [arxiv:hep-th/ ] Based on talk at Quantum Theory and Symmetries 3, held at the University of Cincinnati Sep A theory of errors in quantum measurement [arxiv:quant-ph/ ] Based on talk at Spacetime and Fundamental Interactions: Quantum Aspects, to appear in the Proceeding of a conference to honor A. P. Balachandran s 65th Birthday, pub. by World Scientific 5. Yang-Mills Theory on Loop Space AIP Conf. Proc. 687, 41 (2003). [arxiv:hep-th/ ] Plenary Talk at the MRST Conference in honor of Joseph Schechter 6. Collective potential for large-n Hamiltonian matrix models and free Fisher information A. Agarwal, L. Akant, G. S. Krishnaswami and Int. J. Mod. Phys. A 18, 917 (2003) 7. Nonlinear theory of polarization-mode dispersion for fiber solitons A. Levent, S.G. Rajeev, F. Yaman, and Govind P. Agrawal, Phys. Rev. Lett. 90, (2003) 8. Collective potential for large-n Hamiltonian matrix models and free Fisher information A. Agarwal, L. Akant, G. S. Krishnaswami and Int. J. Mod. Phys. A 18, 917 (2003) 1

2 9. New classical limits of quantum theories To appear in the proceedings of 70th Meeting between Physicists, Theorists and Mathematicians, Strasbourg, France, May A Model of Two Dimensional Turbulence Using Random Matrix Theory S. V. Iyer and Mod. Phys. Lett. A 17, 1539 (2002) [arxiv:physics/ ] 11. A cohomological interpretation of the Migdal-Makeenko equations A. Agarwal and Mod. Phys. Lett. A 17, 481 (2002) [arxiv:hep-th/ ] 12. Entropy of operator-valued random variables: A variational principle for large N matrix models L. Akant, G. S. Krishnaswami and Int. J. Mod. Phys. A 17, 2413 (2002) 13. Parton Distributions From 1+1 QCD V. John, G. S. Krishnaswami and AIP Conf. Proc. 549, 524 (2002) Prepared for 7th Conference on Intersections Between Particle and Nuclear Physics (CIPANP 2000), Quebec City, Quebec, Canada, May Variational principle for large N matrix models L. Akant, G. S. Krishnaswami and Prepared for 23rd Annual MRST (Montreal-Rochester-Syracuse-Toronto) Conference on High-Energy Physics (MRST 2001), London, Ontario, Canada, May Example of an asymptotically free matrix model A. Agarwal and Prepared for 23rd Annual MRST (Montreal-Rochester-Syracuse-Toronto) Conference on High-Energy Physics (MRST 2001), London, Ontario, Canada, May Non-commutative generalizations of Yang-Mills theory Prepared for Joint International Lepton Photon Symposium at High Energies (15th) and European Physical Society Conference on High-energy Physics, Geneva, Switzerland, 25 Jul - 1 Aug Yang-Mills theory on a cylinder coupled to point particles K. S. Gupta, R. J. Henderson, and O. T. Turgut Prepared for 16th Annual MRST (Montreal-Rochester-Syracuse-Toronto) Meeting on High-energy Physics: What Next? Exploring the Future of High-energy Physics, Montreal, Quebec, Canada, May Interacting quark model from bi-local soliton picture of baryon in two dimensions V. John, G. S. Krishnaswami and Prepared for 22nd Annual MRST (Montreal-Rochester-Syracuse-Toronto) Meeting: Conference on Theoretical High-Energy Physics, Rochester, New York, 8-9 May A quantum chain model for QCD M. N. Coca and AIP Conf.Proc.541: ,2000 Prepared for 22nd Annual MRST (Montreal-Rochester-Syracuse-Toronto) Meeting: Conference on Theoretical High-Energy Physics, Rochester, New York, 8-9 May Open String Field Theory Of Strong Interactions In Two Dimensions Nucl. Phys. Proc. Suppl. 96, 487 (2001) Prepared for International Euroconference in Quantum Chromodynamics: 15 Years of the QCD - Montpellier Conference (QCD 00), Montpellier, France, 6-13 Jul 2000

3 21. Symmetries of large-n gauge field theory, M-theory and spin chains C. W. Lee and Prepared for 6th International Symposium on Particles, Strings and Cosmology (PASCOS 98), Boston, Massachusetts, Mar 1998 Published in *Boston 1998, Particles, strings and cosmology* Parton Model From Bi-Local Solitonic Picture Of The Baryon In Two-Dimensions V. John, G. S. Krishnaswami and Phys. Lett. B 492, 63 (2000) 23. An Interacting Parton Model For Quark And Anti-Quark Distributions In The Baryon V. John, G. S. Krishnaswami and Phys. Lett. B 487, 125 (2000) 24. Parton Distribution Functions From Large N(C) QCD Nucl. Phys. Proc. Suppl. 86, 86 (2000) Prepared for High Energy Physics International Euroconference on Quantum Chromo Dynamics - QCD 99, Montpellier, France, 7-13 Jul The anti-quark distribution function of the baryon V. John, G. S. Krishnaswami and arxiv:hep-ph/ The x-dependence of parton distributions compared with neutrino data G. S. Krishnaswami and arxiv:hep-ph/ Valence parton distribution functions from quantum chromodynamics arxiv:hep-ph/ Symmetry Of Quantum Matrix Models C. W. Lee and Prepared for 20th Annual MRST (Montreal-Rochester-Syracuse-Toronto) Meeting on High-Energy Physics: MRST 98: Toward the Theory of Everything, Montreal, Canada, May Large-N Yang-Mills theory as classical mechanics C. W. Lee and arxiv:hep-th/ To be published in the proceedings of 21st Annual MRST Conference: High Energy Physics at the Millenium (MRST 99 and the Sundarfest), Ottawa, Ontario, Canada, May A review of symmetry algebras of quantum matrix models in the large-n limit C. W. Lee and Int. J. Mod. Phys. A 14, 4395 (1999) [arxiv:hep-th/ ] 31. Bound states in models of asymptotic freedom arxiv:hep-th/ Poisson brackets of normal-ordered Wilson loops C. W. Lee and J. Math. Phys. 40, 1870 (1999) [arxiv:hep-th/ ] 33. A model of interacting partons for hadronic structure functions G. S. Krishnaswami and Phys. Lett. B 441, 429 (1998) [arxiv:hep-ph/ ] 34. Integrability of supersymmetric quantum matrix models in the large-n limit C. W. Lee and Phys. Lett. B 436, 91 (1998) [arxiv:hep-th/ ]

4 35. A Lie algebra for closed strings, spin chains and gauge theories C. W. Lee and J. Math. Phys. 39, 5199 (1998) [arxiv:hep-th/ ] 36. Symmetry algebras of large-n matrix models for open strings C. W. Lee and Nucl. Phys. B 529, 656 (1998) [arxiv:hep-th/ ] 37. Symmetries of large N(c) matrix models for closed strings C. W. Lee and Phys. Rev. Lett. 80, 2285 (1998) [arxiv:hep-th/ ] 38. Renormalized contact potential in two dimensions R. J. Henderson and J. Math. Phys. 39, 749 (1998) [arxiv:hep-th/ ] 39. Geometric quantization and two dimensional QCD and O. T. Turgut Commun. Math. Phys. 192, 493 (1998) [arxiv:hep-th/ ] 40. Renormalized Path Integral in Quantum Mechanics R. J. Henderson and arxiv:hep-th/ Some Rigorous Results For Yang-Mills Theories On A Cylinder and L. Rossi J. Math. Phys. 36, 3308 (1995) 42. Non-trivial fixed point in four dimensional scalar field theory and the Higgs mass arxiv:hep-th/ Integrability of the Wess-Zumino-Witten model as a non-ultralocal theory, A. Stern and P. Vitale Phys. Lett. B 388, 769 (1996) [arxiv:hep-th/ ] 44. Dynamics Of Heavy Mesons In Spherical Quantum Chromodynamics K. S. Gupta, S. Guruswamy and 45. Poisson brackets of Wilson loops and derivations of free algebras and O. T. Turgut J. Math. Phys. 37, 637 (1996) [arxiv:hep-th/ ] 46. Anomalous Scaling Of Strong Interactions At Low-Energies 47. Solitons in a bilocal field theory R. J. Henderson and Int. J. Mod. Phys. A 10, 3765 (1995) [arxiv:hep-th/ ] 48. A Three-Dimensional Conformal Field Theory S. Guruswamy, and P. Vitale arxiv:cond-mat/ Poisson algebra of Wilson loops in four-dimensional Yang-Mills theory and O. T. Turgut Int. J. Mod. Phys. A 10, 2479 (1995) [arxiv:hep-th/ ] 50. Matrix Models For Yang-Mills Theories and G. Ferretti 51. O(N) sigma model as a three-dimensional conformal field theory S. Guruswamy, and P. Vitale Nucl. Phys. B 438, 491 (1995) [arxiv:hep-th/ ]

5 52. Quantum Gravity On A Circle And The Diffeomorphism Invariance Of The Schrodinger Equation R. J. Henderson and Class. Quant. Grav. 11, 1631 (1994) [arxiv:gr-qc/ ] 53. Quantum Hadrodynamics In Two-Dimensions Int. J. Mod. Phys. A 9, 5583 (1994) [arxiv:hep-th/ ] 54. Alternative canonical formalism for the Wess-Zumino-Witten model, G. Sparano and P. Vitale Int. J. Mod. Phys. A 9, 5469 (1994) [arxiv:hep-th/ ] 55. Yang-Mills Theory On A Cylinder Coupled To Point Particles K. S. Gupta, R. J. Henderson, and O. T. Turgut J. Math. Phys. 35, 3845 (1994) [arxiv:hep-th/ ] 56. Symplectic manifolds, coherent states and semiclassical approximation, S. Kalyana Rama and S. Sen J. Math. Phys. 35, 2259 (1994) [arxiv:hep-th/ ] 57. Renormalization in quantum mechanics K. S. Gupta and Phys. Rev. D 48, 5940 (1993) [arxiv:hep-th/ ] 58. Spherical Quantum Chromodynamics Of Heavy Quark Systems K. S. Gupta, S. Guruswamy and Phys. Rev. D 48, 3354 (1993) [arxiv:hep-ph/ ] 59. Two-Dimensional Quantum Chromodynamics On A Cylinder S. Guruswamy and Mod. Phys. Lett. A 7, 3783 (1992) [arxiv:hep-th/ ] 60. Two-Dimensional Baryons In The Large N Limit P. F. Bedaque, I. Horvath and Mod. Phys. Lett. A 7, 3347 (1992) [arxiv:hep-th/ ] 61. Three-dimensional quantum chromodynamics G. Ferretti, and Z. Yang arxiv:hep-th/ Presented at 26th Int. Conf. on High-Energy Physics, Dallas, TX, Aug 6-12, Current Algebra In Three-Dimensions G. Ferretti and Phys. Rev. Lett. 69, 2033 (1992) [arxiv:hep-th/ ] 63. The Effective Lagrangian Of Three-Dimensional Quantum Chromodynamics G. Ferretti, and Z. Yang Int. J. Mod. Phys. A 7, 7989 (1992) [arxiv:hep-th/ ] 64. Baryons As Solitons In Three-Dimensional Quantum Chromodynamics G. Ferretti, and Z. Yang Int. J. Mod. Phys. A 7, 8001 (1992) [arxiv:hep-th/ ] 65. Two-dimensional meson theory UR Cp**(N-1) Model With A Chern-Simons Term G. Ferretti and Mod. Phys. Lett. A 7, 2087 (1992) [arxiv:hep-th/ ]

6 67. Long distance behavior of the four-dimensional nonlinear sigma model with anomaly B. E. Baaquie and Mod. Phys. Lett. A 8, 625 (1993) 68. Matrix models with global S0(3) invariance G. Ferretti and UR Embedding Yang-Mills Theory Into Universal Yang-Mills Theory Phys. Rev. D 44, 1836 (1991) 70. Universal Yang-Mills Theory And Chiral Fermions J. Mickelsson and UR Deformations Of Current Algebras In (3+1)-Dimensions J. Mickelsson and Lett. Math. Phys. 21, 173 (1991) 72. What Are The Anti-Particles Of K (L, S)? V. S. Mathur and Mod. Phys. Lett. A 6, 2741 (1991) 73. Universal Teichmuller Space And Diff S1 / S1 D. K. Hong and Commun. Math. Phys. 135, 401 (1990) 74. Universal Gauge Theory Phys. Rev. D 42, 2779 (1990) 75. Universal Dirac-Yang-Mills Theory G. Ferretti and Phys. Lett. B 244, 265 (1990) 76. Towards A Bosonization Of Quantum Electrodynamics D. K. Hong and Phys. Rev. Lett. 64, 2475 (1990) 77. The Strong Phase Of QED D. K. Hong and Phys. Lett. B 240, 471 (1990) 78. Universal Yang-Mills Theory UR-1114 Invited talk given at MRST Conf., Syracuse, N.Y., May 9-10, Nonabelian Bosonization Without Wess-Zumino Terms. 2 UR Nonabelian Bosonization Without Wess-Zumino Terms. 1. New Current Algebra Phys. Lett. B 217, 123 (1989) 81. Yang-Mills Theory On A Cylinder Phys. Lett. B 212, 203 (1988)

7 82. An Exactly Integrable Algebraic Model For (3+1)-Dimensional Yang-Mills Theory Phys. Lett. B 209, 53 (1988) 83. Kahler Geometry Of String Theory UR-1035 Invited talk given at NATO Workshop on Superstrings, Boulder, CO, Jul 27 - Aug 1, The Complex Geometry Of String Theory And Loop Space M. J. Bowick and MIT-CTP-1494 Invited talk given at the 11th Johns Hopkins Workshop on Current Problems in Particle Theory, Lanzhou, PRC, Jun 17-19, Current Algebras In (D+1)-Dimensions And Determinant Bundles Over Infinite Dimensional Grassmannians J. Mickelsson and Commun. Math. Phys. 116, 365 (1988) 86. Anomalies As Curvature In Complex Geometry M. J. Bowick and Nucl. Phys. B 296, 1007 (1988) 87. The Holomorphic Geometry Of Closed Bosonic String Theory And Diff S1 / S1 M. J. Bowick and Nucl. Phys. B 293, 348 (1987) 88. Quantization Of An Anomalous Gauge Theory MIT-CTP String Theory As The Kahler Geometry Of Loop Space M. J. Bowick and Phys. Rev. Lett. 58, 535 (1987) [Erratum-ibid. 58, 1158 (1987)] 90. Quantum Electrodynamics As A Supersymmetric Theory Of Loops Annals Phys. 173, 249 (1987) 91. Duality And Gauge Invariance MIT-CTP On Multiloop Computations In Polyakov s String Theory M. A. Namazie and S. Rajeev Nucl. Phys. B 277, 332 (1986) 93. Baryons As Solitons UMI Fermions From Bosons Through Effective Lagrangians In QCD G. Bhattacharya and S. Rajeev SU Talk presented at the Soliton Workshop, Lewes, Delaware, Jun 4-15, Nonabelian Anomaly And Vector Meson Decays O. Kaymakcalan, S. Rajeev and J. Schechter Phys. Rev. D 30, 594 (1984)

8 96. Boson - Fermion Equivalence In A Two-Dimensional Anomalous Chiral Model G. Bhattacharya and S. Rajeev Nucl. Phys. B 246, 157 (1984) 97. Fermions From Bosons Through Effective Lagrangians In QCD G. Bhattacharya and S. Rajeev SU Fermions From Bosons In (3+1)-Dimensions Through Anomalous Commutators Phys. Rev. D 29, 2944 (1984) 99. Whither Composite Models? (Talk) S. g. Rajeev 100. Instantons And The Ground State Of Polyakov s String Theory SU Why Is The Cosmological Constant Small? Phys. Lett. B 125, 144 (1983) 102. Large N Limit In Stochastic Quantization SU Low Mass Solitons From Fractional Charges In QCD A. P. Balachandran, V. P. Nair, N. Panchapakesan and Phys. Rev. D 28, 2830 (1983) 104. Soliton States In The QCD Effective Lagrangian A. P. Balachandran, V. P. Nair, and A. Stern Phys. Rev. D 27, 1153 (1983) [Erratum-ibid. D 27, 2772 (1983)] 105. Exotic Levels From Topology In The QCD Effective Lagrangian A. P. Balachandran, V. P. Nair, and A. Stern Phys. Rev. Lett. 49, 1124 (1982) [Erratum-ibid. 50, 1630 (1983)] 106. Exact Solution Of Quantum Gravity In (1+1)-Dimensions Phys. Lett. B 113, 146 (1982) 107. Constituent Models For Quarks And Leptons Phys. Lett. B 115, 50 (1982) 108. An Algebraic Formulation Of Duality SU

QUANTUM FIELD THEORY. A Modern Introduction MICHIO KAKU. Department of Physics City College of the City University of New York

QUANTUM FIELD THEORY. A Modern Introduction MICHIO KAKU. Department of Physics City College of the City University of New York QUANTUM FIELD THEORY A Modern Introduction MICHIO KAKU Department of Physics City College of the City University of New York New York Oxford OXFORD UNIVERSITY PRESS 1993 Contents Quantum Fields and Renormalization