Relativistic Bound State Solutions of a Two-Dimensional Fermion Model with Color SU(3) Symmetry
スポンサーリンク
概要
- 論文の詳細を見る
We implement color SU(3) symmetry on a relativistic two-dimensional fermion model proposed by Glockle, Nogami and Fukui (GNF). We find that it is possible to construct solutions for several multiplets of two and three particles by using the solutions for the GNF model. Though our model is based on the single-particle theory (i.e., the model does not contain any anti-particles), we regard a particle belonging to 3^^- as an anti-particle while the particles belong to 3 representation of the SU(3) group. There are conditions for the coupling constant that must be satisfied in order that a solution is acceptable as a physical bound state. We construct bound state solutions of 3^^- for a particle-particle pair, 1 for a particle-anti-particle pair and 1 for a three-particle system. We find that the singlet states form the tightest bound states among these solutions. We believe that our result provides some useful information for understanding quark confinement.
- 理論物理学刊行会の論文
- 2001-05-25
著者
-
SAKAMOTO Jiro
Department of Cardiology, Tenri Hospital
-
SAKAMOTO Jiro
Food Research Laboratories, Ajinomoto Co. Inc.
-
SAKAMOTO Jiro
Department of Physics, Shimane University
-
SAKAMOTO Jiro
Physics Department, Shimane University
関連論文
- Impact of Aortic Plaque Morphology on Survival Rate and Incidence of a Subsequent Embolic Event : Long-Term Follow-up Data
- Stochastic Quantization and the Grivob Problem in Non-Abelian Gauge Theories
- Finite-element analysis on closing-opening correction osteotomy for angular kyphosis of osteoporotic vertebral fractures
- The Transmission of Stress to Grafted Bone Inside a Titanium Mesh Cage Used in Anterior Column Reconstruction After Total Spondylectomy : A Finite-Element Analysis
- Reconstruction After Total Sacrectomy Using a New Instrumentation Technique : A Biomechanical Comparison
- Biomechanical evaluation of reconstructed lumbosacral spine after total sacrectomy
- Mechanical Evaluation of Reconstructed Structures after Total Sacrectomy and Their Improvement
- Antibody Fragments as Inhibitors of Japanese Radish Acid Phosphatase
- Inhibitory Monoclonal Antibody against Japanese Radish Acid Phosphatase
- Cardiac tamponade during transesophageal echocardiography in a patient with infective endocarditis
- Two Types of N-Body Bound State Solutions of the Dirac Particles with the δ Function Potential in 1+1 Dimensional Space-Time
- A New-Type of Prescription for Relativizing Static Form Factors of Three- and Four-Body Composite States
- Stochastic Quantization in Minkowski Space-Time : Particles and Fields
- Canonical Quantization of Non-Abelian Gauge Fields : Lorentz and Gauge Invariances
- Bosonization of the Extended Thirring Model with SU(2) Symmetry in the Minkowski Path Integral Formulation
- The Stochastic Quantization of the Gravitational Field and the Gribov Problem
- Relativistic Bound State Solutions of a Two-Dimensional Fermion Model with Color SU(3) Symmetry
- Asymptotic Behavior of the Green Function in a Solvable Field Theory
- The Singular Gauge Transformation in the Non-Abelian Gauge Theory
- Canonical Quantization of Non-Abelian Gauge Field. II
- Canonical Quantization of Non-Abelian Gauge Fields
- Minkowski Stochastic Quantization of Fermion Field and Chiral Anomaly : Particles and Fields
- Generally Covariant Formulation in Stochastic Quantization of Gravity : Particles and Fields
- Axially Symmetric Solutions to a Classical SU(2) Gauge Theory
- Green's Functions for Non-Abelian Gauge Fields
- Arbitrariness of Zwanziger's Parameter in Stochastic Quantization of Non-Abelian Gauge Fields
- The usefulness of contrast echocardiography for detecting right-to-left cardiac shunts during the diagnosis of hypoxemia : 2 case reports
- Purification and Properties of Acid Phosphatase from Japanese Radish
- Construction of N Body Bound State Solution of the Dirac Particles in 1+1 Dimensional Space-Time : Nuclear Physics
- Nonlinear Realization of Conformal Symmetry
- Incompatibility between Stochastic Smeared Regularization and Zwanziger's Gauge Fixing
- A New Bosonization Procedure of Two-Dimensional Fermion Models in the Path Integral Formulation
- Non-Static Effects in a Form Factor of a Relativistic Three-Body Bound State in 1+1 Dimensions : Progress Letters
- Exact Solutions of a Relativistic Three-Body Bound State in 1+1 Dimensions : Particles and Fields
- A Local Density Scheme and a Uniquely Determined π-π Born Amplitude : Particles and Fields
- Progression of Isolated Tricuspid Regurgitation Late After Left-Sided Valve Surgery : Clinical Features and Mechanisms
- Usefulness of real-time three-dimensional echocardiography in evaluating aortic root diameters during a cardiac cycle
- A case of significantly increased mitral regurgitation early after atrial septal defect closure