Convergence of the expansion of the renormalization group flow equation
- 16 March 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 61 (9) , 096002
- https://doi.org/10.1103/physrevd.61.096002
Abstract
We compare and discuss the dependence of a polynomial truncation of the effective potential used to solve an exact renormalization group flow equation for a model with a fermionic interaction (linear sigma model) with a grid solution. The sensitivity of the results to the underlying cutoff function is discussed. We explore the validity of the expansion method for second- and first-order phase transitions.Keywords
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This publication has 28 references indexed in Scilit:
- Application of the heat-kernel method to the constituent quark model at finite temperatureNuclear Physics A, 1997
- Connection between momentum cutoff and operator cutoff regularizationsPhysical Review D, 1996
- The heat-kernel and the average effective potentialPhysics Letters B, 1995
- Renormalization group and universalityPhysical Review D, 1995
- A symmetry-preserving cut-off regularizationThe European Physical Journal C, 1994
- Blocking Transformation in Field TheoryAnnals of Physics, 1993
- Zeta function regularization of path integrals in curved spacetimeCommunications in Mathematical Physics, 1977
- Effective Lagrangian and energy-momentum tensor in de Sitter spacePhysical Review D, 1976
- Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical BehaviorPhysical Review B, 1971
- Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling PicturePhysical Review B, 1971