Cited by 1,243Theoretical and Computational PhysicsQuantum many-body systemsStochastic processes and statistical mechanics

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The Theory of Critical Phenomena: An Introduction to the Renormalization Group

Binney, J J, Dowrick, N J, Fisher, A J, Newman, M E J·1992

DOI 10.1093/oso/9780198513940.001.0001

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Abstract

The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.

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Authors: Binney, J. J., Dowrick, N. J., Fisher, A. J., & Newman, M. E. J.
Affiliations: University of Oxford (GB)
Cornell University (US)
ORCID: Binney, J J
Fisher, A J
Newman, M E J
Publisher: Oxford University PressOxford
Published: 1992-06-11
DOI: 10.1093/oso/9780198513940.001.0001
OpenAlex: W1558680194
Cited by: 1,243
References: 0
Citations by year: 2026: 17 · 2025: 42 · 2024: 22 · 2023: 24 · 2022: 25 · 2021: 32 · 2020: 25 · 2019: 57 · 2018: 27 · 2017: 32 · 2016: 32 · 2015: 35 · 2014: 42 · 2013: 46 · 2012: 42
FWCI: 3.84
Type: book
Language: en
Open access: closed
Locations: UCL Discovery (University College London) (submittedVersion)
Topics: Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
Keywords: critical phenomena, critical exponents, second-order phase transition, scaling theory, field theory, real-space renormalization group, mean-field theory, Landau-Ginzburg models, diagrammatic perturbation theory, exact solutions, numerical simulation, statistical mechanics

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The Theory of Critical Phenomena: An Introduction to the Renormalization Group

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