Closed-form irreducible differential formulations of the Wilson renormalization group
Journal Article
·
· Phys. Rev. A; (United States)
We present a detailed derivation of the one-particle--irreducible (1PI) differential renormalization-group generators originally developed by Nicoll and Chang and by Chang, Nicoll, and Young. We illustrate the machinery of the irreducible formulation by calculating to order epsilon/sup 2/ the characteristic time exponent z for the time-dependent Ginsburg-Landau model in the cases of conserved and nonconserved order parameter. We then calculate both z and eta to order epsilon/sup 2/ by applying to the 1PI generator an extension of the operator expansion technique developed by Wegner for the Wilson smooth-cutoff renormalization-group generator.
- Research Organization:
- Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- DOE Contract Number:
- AC02-76ER03069
- OSTI ID:
- 5954596
- Journal Information:
- Phys. Rev. A; (United States), Vol. 27:6
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
RENORMALIZATION
IRREDUCIBLE REPRESENTATIONS
EQUATIONS OF STATE
GINZBURG-LANDAU THEORY
PHASE TRANSFORMATIONS
RECURSION RELATIONS
SCALING LAWS
EQUATIONS
657006* - Theoretical Physics- Statistical Physics & Thermodynamics- (-1987)
658000 - Mathematical Physics- (-1987)
GENERAL PHYSICS
RENORMALIZATION
IRREDUCIBLE REPRESENTATIONS
EQUATIONS OF STATE
GINZBURG-LANDAU THEORY
PHASE TRANSFORMATIONS
RECURSION RELATIONS
SCALING LAWS
EQUATIONS
657006* - Theoretical Physics- Statistical Physics & Thermodynamics- (-1987)
658000 - Mathematical Physics- (-1987)