Renormalization of the {sigma}-{omega} model within the framework of U(1) gauge symmetry
- Department of Physics, Harbin Institute of Technology, Harbin 150006 (China)
- Center for Theoretical Physics, College of Physics, Jilin University, Changchun 130023 (China)
It is shown that the {sigma}-{omega} model which is widely used in the study of the nuclear relativistic many-body problem can be exactly treated as an Abelian massive gauge field theory. The quantization of this theory can perfectly be performed by means of the general methods described in the quantum gauge field theory. Especially, the local U(1) gauge symmetry of the theory leads to a series of Ward-Takahashi identities satisfied by Green's functions and proper vertices. These identities form a uniquely correct basis for the renormalization of the theory. The renormalization is carried out in the mass-dependent momentum space subtraction scheme and by the renormalization group approach. With the aid of the renormalization boundary conditions, the solutions to the renormalization group equations are given in definite expressions without any ambiguity and renormalized S-matrix elements are exactly formulated in forms as given in a series of tree diagrams provided that the physical parameters are replaced by the running ones. As an illustration of the renormalization procedure, the one-loop renormalization is concretely carried out and the results are given in rigorous forms which are suitable in the whole energy region. The effect of the one-loop renormalization is examined by the two-nucleon elastic scattering.
- OSTI ID:
- 20695635
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 70, Issue 4; Other Information: DOI: 10.1103/PhysRevC.70.044003; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
AXIOMATIC FIELD THEORY
BOUNDARY CONDITIONS
ELASTIC SCATTERING
FEYNMAN DIAGRAM
GAUGE INVARIANCE
GREEN FUNCTION
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
QUANTIZATION
RELATIVISTIC RANGE
RENORMALIZATION
S MATRIX
SIGMA MODEL
U-1 GROUPS
UNITARY SYMMETRY