Three-dimensional massive scalar field theory and the derivative expansion of the renormalization group
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In this article, the universal couplings of the non-perturbative three-dimensional one-component massive scalar field theory in the Ising model universality class were determined directly in the continuum.About:
This article is published in Nuclear Physics.The article was published on 1997-06-30 and is currently open access. It has received 77 citations till now. The article focuses on the topics: Scalar field theory & Renormalization group.read more
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Critical phenomena and renormalization-group theory
Andrea Pelissetto,Ettore Vicari +1 more
TL;DR: In this paper, the critical behavior of spin systems at equilibrium is studied in three and two dimensions, and the results in three-dimensional space are presented in particular for the six-loop perturbative series for the β -functions.
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Non-perturbative renormalization flow in quantum field theory and statistical physics
TL;DR: In this paper, the use of exact renormalization group equation in quantum field theory and statistical physics is reviewed. But the authors focus on the second-order phase transition and the critical behavior of polymer chains, and do not consider the non-perturbative solutions of the coarse-grained free energy.
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Critical exponents of the N-vector model
Riccardo Guida,Jean Zinn-Justin +1 more
TL;DR: In this paper, the authors examined the influence of these additional terms on the estimates of critical exponents of the N-vector model, using some new ideas in the context of the Borel summation techniques.
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Exact renormalization group equations. An Introductory review
C. Bagnuls,C. Bervillier +1 more
TL;DR: The use of the exact renormalization group equations (ERGE) in the framework of scalar theory is discussed in this article, where the authors focus on the existence of different versions of the ERGE and on an approximation method to solve it.
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Fundamentals of the Exact Renormalization Group
TL;DR: In this article, a review of the concepts underpinning the Exact Renormalization Group (ERG) and the circumstances under which it is expected to be useful is presented. But the analysis of properties of exact solutions to flow equations includes a proof that the spectrum of the anomalous dimension at critical fixed-points is quantized.
References
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Book
Quantum Field Theory and Critical Phenomena
TL;DR: In this paper, a renormalization group analysis is proposed to model the scaling behavior of a field theory in the large N limit of the ferromagnetic order at low temperature.
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Exact evolution equation for the effective potential
TL;DR: In this article, a new exact evolution equation for the scale dependence of an effective action was derived, which allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.
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Renormalization and effective lagrangians
TL;DR: In this paper, a renormalization group equation for a four-dimensional λo4 theory with a momentum cutoff was derived, and the cutoff dependence of the effective lagrangian was analyzed.
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The Exact renormalization group and approximate solutions
TL;DR: In this paper, the structure of Polchinski's formulation of the flow equations for the continuum Wilson effective action is investigated, and a promising nonperturbative approximation scheme is derived by carefully taking the sharp cutoff limit and expanding in relevance of operators.