Renormalisation group: Difference between revisions
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*[[Critical dimension]] | *[[Critical dimension]] | ||
*[[Critical exponents]] | *[[Critical exponents]] | ||
*[[Hierarchical reference theory]] | |||
*[[Landau-Ginzburg-Wilson theory]] | *[[Landau-Ginzburg-Wilson theory]] | ||
*[[Order parameters]] | *[[Order parameters]] | ||
*[[Universality classes]] | *[[Universality classes]] | ||
==Related reading== | ==Related reading== | ||
*[http://dx.doi.org/10.1103/PhysRevB.4.3174 Kenneth G. Wilson "Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture", Physical Review B '''4''' pp. 3174 - 3183 (1971)] | '''Early papers''' | ||
*[http://dx.doi.org/10.1103/PhysRevB.4.3184 Kenneth G. Wilson "Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior", Physical Review B '''4''' pp. 3184 - 3205 (1971)] | *Leo P. Kadanoff "Scaling Laws for Ising Models Near Tc", Physics '''2''' pp. 263- (1966) | ||
*[http://dx.doi.org/10.1103/RevModPhys.39.395 Leo P. Kadanoff, Wolfgang Götze, David Hamblen, Robert Hecht, E. A. Lewis, V. V. Palciauskas, Martin Rayl, J. Swift, David Aspnes, and Joseph Kane "Static Phenomena Near Critical Points: Theory and Experiment", Reviews of Modern Physics '''39''' pp. 395-431 (1967)] | |||
*[http://dx.doi.org/10.1103/PhysRevB.4.3174 Kenneth G. Wilson "Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture", Physical Review B '''4''' pp. 3174-3183 (1971)] | |||
*[http://dx.doi.org/10.1103/PhysRevB.4.3184 Kenneth G. Wilson "Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior", Physical Review B '''4''' pp. 3184-3205 (1971)] | |||
'''Reviews''' | |||
*[http://dx.doi.org/10.1103/RevModPhys.45.589 Shang-keng Ma "Introduction to the Renormalization Group", Reviews of Modern Physics '''45''' pp. 589-614 (1973)] | *[http://dx.doi.org/10.1103/RevModPhys.45.589 Shang-keng Ma "Introduction to the Renormalization Group", Reviews of Modern Physics '''45''' pp. 589-614 (1973)] | ||
*[http://dx.doi.org/10.1103/RevModPhys.46.597 Michael E. Fisher "The renormalization group in the theory of critical behavior", Reviews of Modern Physics '''46''' pp. 597-616 (1974)] | |||
*[http://dx.doi.org/10.1016/0370-1573(74)90023-4 Kenneth G. Wilson and J. Kogut "The renormalization group and the ε expansion", Physics Reports '''12''' pp. 75-199 (1974)] | |||
*[http://dx.doi.org/10.1119/1.11224 Humphrey J. Maris and Leo P. Kadanoff "Teaching the renormalization group", American Journal of Physics '''46''' pp. 652-657 (1978)] | *[http://dx.doi.org/10.1119/1.11224 Humphrey J. Maris and Leo P. Kadanoff "Teaching the renormalization group", American Journal of Physics '''46''' pp. 652-657 (1978)] | ||
*[http://dx.doi.org/10.1103/RevModPhys.70.653 Michael E. Fisher "Renormalization group theory: Its basis and formulation in statistical physics", Reviews of Modern Physics '''70''' pp. 653-681 (1998)] | |||
*[http://dx.doi.org/10.1103/RevModPhys.70.653 Michael E. Fisher "Renormalization group theory: Its basis and formulation in statistical physics", Reviews of Modern Physics '''70''' pp. 653 - 681 (1998)] | |||
*[http://dx.doi.org/10.1119/1.1624112 Bertrand Delamotte "A hint of renormalization", American Journal of Physics '''72''' pp. 170-184 (2004)] | *[http://dx.doi.org/10.1119/1.1624112 Bertrand Delamotte "A hint of renormalization", American Journal of Physics '''72''' pp. 170-184 (2004)] | ||
'''Books''' | |||
*J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman "The Theory of Critical Phenomena: An Introduction to the Renormalization Group", Clarendon Press (1992) ISBN 978-0-19-851393-3 | |||
*Nigel Goldenfeld "Lectures On Phase Transitions And The Renormalization Group", Westview Press (1992) ISBN 9780201554090 | |||
*John Cardy "Scaling and Renormalization in Statistical Physics", Cambridge University Press (1996) ISBN 9780521499590 | |||
[[category: Renormalisation group]] | [[category: Renormalisation group]] | ||
Latest revision as of 14:00, 23 January 2012
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- Critical dimension
- Critical exponents
- Hierarchical reference theory
- Landau-Ginzburg-Wilson theory
- Order parameters
- Universality classes
Related reading[edit]
Early papers
- Leo P. Kadanoff "Scaling Laws for Ising Models Near Tc", Physics 2 pp. 263- (1966)
- Leo P. Kadanoff, Wolfgang Götze, David Hamblen, Robert Hecht, E. A. Lewis, V. V. Palciauskas, Martin Rayl, J. Swift, David Aspnes, and Joseph Kane "Static Phenomena Near Critical Points: Theory and Experiment", Reviews of Modern Physics 39 pp. 395-431 (1967)
- Kenneth G. Wilson "Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture", Physical Review B 4 pp. 3174-3183 (1971)
- Kenneth G. Wilson "Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior", Physical Review B 4 pp. 3184-3205 (1971)
Reviews
- Shang-keng Ma "Introduction to the Renormalization Group", Reviews of Modern Physics 45 pp. 589-614 (1973)
- Michael E. Fisher "The renormalization group in the theory of critical behavior", Reviews of Modern Physics 46 pp. 597-616 (1974)
- Kenneth G. Wilson and J. Kogut "The renormalization group and the ε expansion", Physics Reports 12 pp. 75-199 (1974)
- Humphrey J. Maris and Leo P. Kadanoff "Teaching the renormalization group", American Journal of Physics 46 pp. 652-657 (1978)
- Michael E. Fisher "Renormalization group theory: Its basis and formulation in statistical physics", Reviews of Modern Physics 70 pp. 653-681 (1998)
- Bertrand Delamotte "A hint of renormalization", American Journal of Physics 72 pp. 170-184 (2004)
Books
- J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman "The Theory of Critical Phenomena: An Introduction to the Renormalization Group", Clarendon Press (1992) ISBN 978-0-19-851393-3
- Nigel Goldenfeld "Lectures On Phase Transitions And The Renormalization Group", Westview Press (1992) ISBN 9780201554090
- John Cardy "Scaling and Renormalization in Statistical Physics", Cambridge University Press (1996) ISBN 9780521499590