Diagonalization of the Light Cone QCD_4 Mass Operator in a Ladder Quarkonium Basis : Particles and Fields

スポンサーリンク

概要

• 論文の詳細を見る

• QCD_4 quantized on the light-cone is cast into discretized form by placing the system in a box of finite extent in the x^- and transverse directions. In the resulting cutoff theory the quark and gluon field operator expansions are truncated to finite numbers of longitudinal and transverse modes. For a basis of the type {∣qq^^-G>}, corresponding to a light-cone ladder approximation with fermion self-energy insertions, vertex corrections and non-planar effects, the necessary matrix elements for the construction of the normal ordered mass matrix are derived. The lowest eigenvalues of this matrix are found numerically using the Lanczos algorithm. We have studied the behaviour of the ground-state of the system as a function of the coupling constant for various cutoffs and quark masses. In all cases studied the ground state remains below the 2m threshold and eventually becomes tachyonic at some critical coupling, depending on the basis type and quark mass.

• 理論物理学刊行会の論文
• 1992-02-25

著者

• HIGASHIJIMA Kiyoshi

  Department of Physics, University of Tokyo

• Higashijima K

  Department Of Physics Graduate School Of Science Osaka University

• Higashijima Kiyoshi

  National Laboratory For High Energy Physics (kek)

• Higashijima Kiyoshi

  National Laboratory For High Energy Physics

• HOLLENBERG Lloyd

  National Laboratory for High Energy Physics

• WARNER Rloand

  Dept. of Physics, University of Tasmania

• McKellar Bruce

  Research Centre for High Energy Physics, School of Physics University of Melbourne

• Warner Rloand

  Dept. Of Physics University Of Tasmania

• Mckellar Bruce

  Research Centre For High Energy Physics School Of Physics University Of Melbourne

• Hollenberg Lloyd

  National Laboratory For High Energy Physics:(permanent Address)research Centre For High Energy Physi

• HIGASHIJIMA Kiyoshi

  Department of Physics,Graduate School of Science Osaka University

• HOLLENBERG Lloyd

  National Laboratory for High Energy Physics:(Permanent address)Research Centre for High Energy Physics, School of Physics, University of Melbourne

関連論文

• Normal Coordinates in Kahler Manifolds and the Background Field Method
• The Recovery of the Chiral Symmetry in Lattice Gross-Neveu Model : Particles and Fields
• μ-e Universality and the Spontaneous μ-e Mass Splitting
• Group Theoretic Analysis of Conformal Invariant Field Theories
• Quantum Equivalence of Auxiliary Field Methods in Supersymmetric Theories
• Three Dimensional Conformal Sigma Models(Particles and Fields)
• Wilsonian Renormalization Approach to Nonlinear Sigma Models(Frontiers of Quantum Physics)
• Three Dimensional Nonlinear Sigma Models in the Wilsonian Renormalization Method(Particles and Fields)
• A New Class of Conformal Field Theories with Anomalous Dimensions
• Wilsonian Renormalization Group Approach to N= 2 Supersymmetric Sigma Models(Particles and Fields)
• Large-N Limit of N=2 Supersymmetric Q^N Model in Two Dimensions
• Kahler Normal Coordinate Expansion in Supersymmetric Theories
• Low Energy Theorems in N=1 Supersymmetric Theory : Particles and Fields
• Diagonalization of the Light Cone QCD_4 Mass Operator in a Ladder Quarkonium Basis : Particles and Fields
• Unitarity Bound of the Wave Function Renormalization Constant
• Supersymmetric Nonlinear Sigma Models as Gauge Theories
• Three Dimensional Nonlinear Sigma Models in the Wilsonian Renormalization Method
• Renormalization Groups of Gell-Mann and Low and of Callan and Symanzik
• Unitarity Bound of the Wave Function Renormalization Constant(Particles and Fields)
• Theory of Dynamical Symmetry Breaking
• Solutions of the Spinor-Spinor Bethe-Salpeter Equaton in the Scalar-Vector Sector
• Compositeness and Anomalous Dimensions
• Exact Solutions of the Spinor-Spinor Bethe-Salpeter Equation and Their Gauge Dependence
• The Adler-Bardeen Theorem in Quantum Electrodynamics
• e^+e^-⇾Hadrons Total Cross Sections and the Parton-Antiparton Interactions
• Discretized Light-Cone Quantization Applied to QCD4 (クォ-ク・ハドロン多体系の相対論的取扱い)

もっと見る 閉じる

スポンサーリンク