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Scaling and Renormalization in Statistical Physics

, 1996
This 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
semanticscholar   +1 more source

Renormalizing the renormalization group pathologies

Physics Reports, 2001
Abstract 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
openaire   +2 more sources

Renormalization Group

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.
openaire   +3 more sources

Quantum Gravity and the Functional Renormalization Group

, 2019
During 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
semanticscholar   +1 more source

Lectures On Phase Transitions And The Renormalization Group

, 1972
Introduction * 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
semanticscholar   +1 more source

Renormalizing the nonrenormalizable

Physical Review Letters, 1985
A perturbatively nonrenormalizable variant of the Gross-Neveu model of Euclidean quantum field theory with bare propagator p/${\mathrm{p}}^{2\mathrm{\ensuremath{-}}\mathrm{\ensuremath{\epsilon}}}$ is considered. We outline a rigorous argument proving that by appropriate choice of the bare coupling constant the model may be renormalized ...
K. Gawdzki, Antti Kupiainen
openaire   +3 more sources

Renormalization of Higher Derivative Quantum Gravity

, 1977
Gravitational actions which include terms quadratic in the curvature tensor are renormalizable. The necessary Slavnov identities are derived from Becchi-Rouet-Stora (BRS) transformations of the gravitational and Faddeev-Popov ghost fields.
K. Stelle
semanticscholar   +1 more source

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence

, 2000
: We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding counterterms to cancel
S. De Haro   +2 more
semanticscholar   +1 more source

On Renormalization

2021
Item does not contain ...
openaire   +2 more sources

Renormalization

Algebra and Applications, 2021
Pierre Cartier, F. Patras
semanticscholar   +1 more source

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