Generalized renormalization scheme in the Ginzburg-Landau-Wilson model

Journal Article · Mon Jun 15 04:00:00 EDT 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.45.8525· OSTI ID:7105336

Ivanchenko, Y M ^[1]; Lisyansky, A A ^[2]

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1. Department of Physics, Polytechnic University, Brooklyn, New York, New York 11201 (United States)
2. Department of Physics, Queens College of City University of New York, Flushing, New York 11367 (United States)

For the {ital n}-vector model of the general type a renormalization-group (RG) scheme in momentum space is developed. Using this scheme we obtain a generalized {ital exact} equation of the renormalization group. The main idea of this approach is not to allow the zero-order critical Hamiltonian to move away from the critical surface under the influence of the RG transformation. The equation found differs from the known ones in that all redundant operators are excluded. On the basis of the developed approach we argue that critical exponents are functionals of some function introducing the cutoff into the phase-transition theory.

• OSTI ID: 7105336
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 45:12; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

665410* -- Superconductivity-- (1992-)
665411 -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL MODELS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
GINZBURG-LANDAU THEORY
MATHEMATICAL MODELS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
RENORMALIZATION
SCALING LAWS
SUPERCONDUCTIVITY