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The Polchinski version of the exact renormalisation group equations is applied to multicritical fixed points, which are present for dimensions between two and four, for scalar theories using both the local potential approximation and its extension, the derivative expansion.
K. G. Wilson, “Renormalization group and critical phenomena. 1. Renormalization group and the Kadanoff scaling picture,” Phys. Rev
1971
Earlier work this paper cites.
K. G. Wilson and M. E. Fisher, “Critical exponents in 3.99 dimensions,” Phys. Rev. Lett
1972
Earlier work this paper cites.
F. J. Wegner and A. Houghton, “Renormalization group equation for critical phenomena,” Phys. Rev
1973
Earlier work this paper cites.
K. G. Wilson and J. B. Kogut, “The Renormalization Group and the Epsilon Expansion,” Phys. Rept
1974
Earlier work this paper cites.
J. F. Nicoll, T. S. Chang, and H. E. Stanley, “Approximate Renormalization Group Based on the Wegner-Houghton Differential Generator,” Phys. Rev. Lett
1974
Earlier work this paper cites.
Academic Press, London, New York, 1976
F. Wegner, “The Critical State, General Aspects,” in Phase Transitions and Critical Phenomena, Vol. 6 · 1976
Earlier work this paper cites.
I. Jack and H. Osborn, “Two Loop Background Field Calculations for Arbitrary Background Fields,” Nucl. Phys
1982
Earlier work this paper cites.
J. Polchinski, “Renormalization and Effective Lagrangians,” Nucl. Phys
1984
Earlier work this paper cites.
K. E. Newman and E. K. Riedel, “Critical exponents by the scaling-field method: The isotropic N N -vector model in three dimensions,” Phys. Rev
1984
Earlier work this paper cites.
E. Riedel, G. R. Golner, and K. E. Newman, “Scaling Field Representation of Wilson’s Exact Renormalization Group Equation,” Annals Phys
1985
Earlier work this paper cites.
A. Hasenfratz and P. Hasenfratz, “Renormalization Group Study of Scalar Field Theories,” Nucl. Phys
1986
Earlier work this paper cites.
G. Golner, “Nonperturbative Renormalization Group Calculations for Continuum Spin Systems,” Phys. Rev
1986
Earlier work this paper cites.
G. Felder, “Renormalization group in the local potential approximation,” Commun. Math. Phys
1987
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. CUP, 1989
C. Itzykson and J. M. Drouffe, Statistical Field Theor. vol. 1: From Brownian Motion to Renormalization and Lattice Gauge Theory · 1989
Cited alongside, same era.
H. Georgi, “Effective field theory,” Ann. Rev. Nucl. Part. Sci
1993
Cited alongside, same era.
K. Pinn, A. Pordt, and C. Wieczerkowski, “Algebraic computation of hierarchical renormalization group fixed points and their ϵ \epsilon -expansions,” J. Statist. Phys
1994
Cited alongside, same era.
G. J. Huish and D. J. Toms, “Renormalization of interacting scalar field theory in three-dimensional curved space-time,” Phys. Rev
1994
Cited alongside, same era.
P. E. Haagensen, Y. Kubyshin, J. I. Latorre, and E. Moreno, “Gradient flows from an approximation to the exact renormalization group,” Phys. Lett
1994
Cited alongside, same era.
J. Comellas, “Polchinski equation, reparameterization invariance and the derivative expansion,” Nucl. Phys
1998
Later among the works it cites.
T. R. Morris, “Properties of derivative expansion approximations to the renormalization group,” Int. J. Mod. Phys
1998
Later among the works it cites.
PhD thesis, University of Southampton, Southampton, 1999
C. Harvey-Fros, The Local Potential Approximation of the Renormalization Group · 1999
Later among the works it cites.
C. Bagnuls and C. Bervillier, “Exact Renormalization Group Equations. An Introductory Review,” Phys. Rept
2001
Later among the works it cites.
World Scientific, Singapore, 2001
C. Itzykson and J. M. Drouffe, Critical Properties of ϕ 4 \phi^{4} -Theories · 2001
Later among the works it cites.
V. F. Muller, “Perturbative renormalization by flow equations,” Rev. Math. Phys
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T. R. Morris, “Derivative expansion of the exact renormalization group,” Phys. Lett
1994
Cited alongside, same era.
G. Zumbach, “The renormalization group in the local potential approximation and its applications to the O ( n ) O(n) model,” Nucl. Phys
1994
Cited alongside, same era.
P. Lima, “Renormalization group fixed points in the local potential approximation for d ≥ 3 d\geq 3 ,” Commun. Math. Phys
1995
Cited alongside, same era.
R. D. Ball, P. E. Haagensen, J. I. Latorre, and E. Moreno, “Scheme independence and the exact renormalization group,” Phys. Lett
1995
Cited alongside, same era.
1996
Cited alongside, same era.
J. Berges, N. Tetradis, and C. Wetterich, “Coarse graining and first order phase transitions,” Phys. Lett
1997
Cited alongside, same era.
J. Generowicz, C. Harvey-Fros, and T. R. Morris, “ C C function representation of the local potential approximation,” Phys. Lett
1997
Cited alongside, same era.
2003
Later among the works it cites.
B. Delamotte, D. Mouhanna, and M. Tissier, “Nonperturbative renormalization group approach to frustrated magnets,” Phys. Rev
2004
Later among the works it cites.
D. F. Litim, “Universality and the renormalisation group,” JHEP
2005
Later among the works it cites.
T. R. Morris, “Equivalence of local potential approximations,” JHEP
2005
Later among the works it cites.
C. Bervillier, “Status of the derivative expansion in the ERGE.” Talk at the 3rd International Conference on the Exact Renormalization Group, Lefkada, Greece, 2006
2006
Later among the works it cites.
J. M. Pawlowski, “Aspects of the functional renormalisation group,” Annals Phys
2007
Closest in time.
B. Delamotte, “An Introduction to the nonperturbative renormalization group,” Lect. Notes Phys
2012
Closest in time.