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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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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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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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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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Renormalizing the nonrenormalizable
Physical Review Letters, 1985A 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
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Renormalization of Higher Derivative Quantum Gravity
, 1977Gravitational 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
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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
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