skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Closed-form irreducible differential formulations of the Wilson renormalization group

Abstract

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.

Authors:
; ;
Publication Date:
Research Org.:
Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
OSTI Identifier:
5954596
DOE Contract Number:  
AC02-76ER03069
Resource Type:
Journal Article
Journal Name:
Phys. Rev. A; (United States)
Additional Journal Information:
Journal Volume: 27:6
Country of Publication:
United States
Language:
English
Subject:
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)

Citation Formats

Vvedensky, D D, Chang, T S, and Nicoll, J F. Closed-form irreducible differential formulations of the Wilson renormalization group. United States: N. p., 1983. Web. doi:10.1103/PhysRevA.27.3311.
Vvedensky, D D, Chang, T S, & Nicoll, J F. Closed-form irreducible differential formulations of the Wilson renormalization group. United States. doi:10.1103/PhysRevA.27.3311.
Vvedensky, D D, Chang, T S, and Nicoll, J F. Wed . "Closed-form irreducible differential formulations of the Wilson renormalization group". United States. doi:10.1103/PhysRevA.27.3311.
@article{osti_5954596,
title = {Closed-form irreducible differential formulations of the Wilson renormalization group},
author = {Vvedensky, D D and Chang, T S and Nicoll, J F},
abstractNote = {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.},
doi = {10.1103/PhysRevA.27.3311},
journal = {Phys. Rev. A; (United States)},
number = ,
volume = 27:6,
place = {United States},
year = {1983},
month = {6}
}