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The Inverse of Exact Renormalization Group Flows as Statistical Inference. [PDF]
Entropy (Basel)Berman DS, Klinger MS.
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Density matrix formulation for quantum renormalization groups.
Physical Review Letters, 1992A generalization of the numerical renormalization-group procedure used first by Wilson for the Kondo problem is presented. It is shown that this formulation is optimal in a certain sense.
S. White
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Renormalization group analysis of turbulence. I. Basic theory
Physical Review Letters, 1986We develop the dynamic renormalization group (RNG) method for hydrodynamic turbulence. This procedure, which uses dynamic scaling and invariance together with iterated perturbation methods, allows us to evaluate transport coefficients and transport ...
V. Yakhot, S. Orszag
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The renormalization group: Critical phenomena and the Kondo problem
, 1975This review covers several topics involving renormalization group ideas. The solution of the $s$-wave Kondo Hamiltonian, describing a single magnetic impurity in a nonmagnetic metal, is explained in detail. See Secs. VII-IX. "Block spin" methods, applied
K. Wilson
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Density-matrix algorithms for quantum renormalization groups.
Physical Review B (Condensed Matter), 1993A formulation of numerical real-space renormalization groups for quantum many-body problems is presented and several algorithms utilizing this formulation are outlined.
S. White
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Scaling and Renormalization in Statistical Physics
, 1996This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. Beginning with a brief review of phase transitions in simple systems and of mean field theory, the text then goes on to introduce the core ideas of ...
J. Cardy
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Renormalizing the renormalization group pathologies
Physics Reports, 2001Abstract We review the status of the “pathologies” of the Renormalization Group (RG) encountered when one tries to define rigorously the RG transformation as a map between Hamiltonians. We explain their origin and clarify their status by relating them to the Griffiths’ singularities appearing in disordered systems; moreover, we suggest that the best ...
Jean Bricmont +2 more
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Quantum Gravity and the Functional Renormalization Group
, 2019During the past two decades the gravitational asymptotic safety scenario has undergone a major transition from an exotic possibility to a serious contender for a realistic theory of quantum gravity.
M. Reuter, F. Saueressig
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1995
The notion of renormalization group is not well defined. It arises in theories in which a prominent role is played by scale invariance or covariance properties, of various quantities, with respect to a noninvertible transformation of coordinates.
BENFATTO, GIUSEPPE, Gallavotti, G.
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The notion of renormalization group is not well defined. It arises in theories in which a prominent role is played by scale invariance or covariance properties, of various quantities, with respect to a noninvertible transformation of coordinates.
BENFATTO, GIUSEPPE, Gallavotti, G.
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Lectures On Phase Transitions And The Renormalization Group
, 1972Introduction * Scaling and Dimensional Analysis * Power Laws in Statistical Physics * Some Important Questions * Historical Development * Exercises How Phase Transitions Occur In Principle * Review of Statistical Mechanics * The Thermodynamic Limit ...
N. Goldenfeld
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