Closed-form irreducible differential formulations of the Wilson renormalization group

Journal Article · Wed Jun 01 04:00:00 EDT 1983 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.27.3311· OSTI ID:5954596

Vvedensky, D D; Chang, T S; Nicoll, J F

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), Journal Name: Phys. Rev. A; (United States) Vol. 27:6; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
EQUATIONS OF STATE
GINZBURG-LANDAU THEORY
IRREDUCIBLE REPRESENTATIONS
PHASE TRANSFORMATIONS
RECURSION RELATIONS
RENORMALIZATION
SCALING LAWS