Integrability and Regularization in Local Field Theory
スポンサーリンク
概要
- 論文の詳細を見る
In general the interaction Hamiltonian obtained by the canonical formalism does not satisfy the integrability condition of the Tomonaga-Schwinger equation. Because of this fact, the amplitude written down by Feynman rules is not covariant. As a prescription to extract the convariant part, we present a regularization scheme applicable to any kind of local theory. In this scheme, shifts of the integration momenta are allowed. This means that formal manipulations exactly hold for the regularized amplitudes. Then the regularized amplitudes satisfy the formal relations such as the Ward-Takahashi identities. The condition of the appearance of anomaly is given. The connection with the dimensional regularization is also discussed.
- 理論物理学刊行会の論文
- 1974-07-25
著者
-
Yamamoto Kunio
Institute Of Physics College Of General Education Osaka University
-
YAMAMOTO Katsuji
Institute of Field Physics, Department of Physics and Astronomy University of North Carolina
関連論文
- Light-Cone Effect on Clustering Statistics in Cosmological Redshift Space
- Deciphering Cosmological Information from Redshift Surveys of High-z Objects : The Cosmological Light-Cone Effect and Redshift-Space Distortion
- A Supersymmetric Electroweak Model with a Light Squark : Particles and Fields
- Motion of a Spherical Domain Wall and the Large-Scale Structure Formation
- Feasibility of Probing Dark Energy with Strong Gravitational Lensing Systems : Fisher-Matrix Approach
- Possible Method to Reconstruct the Cosmic Equation of State from Strong Gravitational Lensing Systems
- Stagnant Motions in Hamiltonian Systems : Part I. Classical Aspects : New Trends in Chaotic Dynamics of Hamiltonian Systems
- Superstring Inspired Models and the Top Quark Mass
- Gauge-Independent Calculation of S-Matrix Elements in Quantum Electrodynamics
- Finite and Covariant Formulation of Local Field Theory Based on Improved Operator Products
- Inevitable Surface Dependence of Some Operator Products and Integrability
- Integrability and Definition of Current in the Thirring Model
- A Realistic SU(6) GUT with Dynamical Generation of Gauge Hierarchy : Particles and Fields
- A Symmetry Breaking Pattern in the SU(7) Grand Unified Model
- Restriction on Symmetry Breaking Scales in Extended GUM's from the Proton Stability
- A Detailed Renormalization Group Analysis in Superstring Inspired Models : Particles and Fields
- A Quark Model Test by Radiative Processes of η and η' Mesons
- Violation of the Vacuum Symmetry, Decay Constants and the Mixing of "η" Mesons
- Boson Field Description of Fermions in Two Dimensions
- Dynamical Symmetry Breaking in Compact Flat Spaces
- Absence of Phase Transition in the Goldstone Model : Progress Letters
- M(12) and Meson-Baryon Inelastic Two-Body Scattering at High Energy
- Kalb-Ramond Interaction for a Closed p-Brane
- Two-Dimensional Defect in Three-Dimensional Lattice : Local Critical Exponents η',β' and ν' in the Limit n→∞
- 1/n Expansion for Weakly Random System with Impurity Correlation
- Sum Rules for Magnetic Moments of Spin 1 and 3/2 Nuclei
- Electromagnetic Mass Shifts by Dispersion Theory
- Possible Structures of Gauge Hierarchies in the SU(L) Unification
- Higher Order Calculations for d-Dimensional Lattice with d'-Dimensional Defect
- Quantum Scattering Theory of the Complex Level Shift of Spectral Lines in Plasmas
- A Self-Consistent Formulation of Local Field Theory. I
- A Static Model for the Continuum-Lowering of a Hydrogen-Like Ion as an Ultra-Dense Plasma Diagnostics : Condensed Matter and Statistical Physics
- Transformation Properties of Operators in Local Field Theory
- Finite Field Theory in Solvable Models
- Two-Dimensional Defect in Three-Dimensional Lattice : Local Critical Exponent η' Up to λ^3 in the Limit n→∞
- The q-Number Schwinger Term and the Breakdown of the Associative Law for Current Operators
- Quantum State during and after Nucleation of an O(4)-Symmetric Bubble : Astrophysics and Relativity
- Quantum Tunneling in Multidimensional Systems : General and Mathematical Physics
- A Self-Consistent Formulation of Local Field Theory. II
- Quantum Excitations of Intrinsic Degrees of Freedom in Multi- Dimensional Tunneling Systems : Astrophysics and Relativity
- Sum Rule for the Magnetic Moment of the Dirac Particle
- M(12) and Vector-Meson Production at High Energy
- Mass and Width of Δ(1236)
- Lorentz Invariance and Finite Self-Mass in Local Field Theory
- Integrability and Regularization in Local Field Theory
- Covariant Axial-Vector Current and Its Divergence Equation
- Shrinkage of Effective Core and Large Angle Scattering at High Energy
- Breakdown of the Associative Law for Current Operators in a Model in Two-Dimensional Space-Time
- Problem of Lorentz Invariance in Local Field Theory
- Divergence Difficulties in Local Field Theory
- Validity of Sum Rules and High Energy Theorems by Current Algebra
- A Finite Local Field Theory
- Lorentz Invariance and Normal Product
- Lorentz Invariance and Normal Product in an Interacting System
- Nonperturbation Approach to Decay Problems
- Sum Rule for the Magnetic Moment of Arbitrary Spin Particle and Simple Application to Nucleus