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010 _a 2008274464
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020 _a9780199236527 (pbk.)
020 _a0199236526 (pbk.)
035 _a(OCoLC)ocn166314851
040 _aEC-UrYT
_cEC-UrYT
_dUKM
_dBTCTA
_dBAKER
_dYDXCP
_dDLC
_dEC-UrYT
041 _aeng
042 _apcc
082 0 4 _a530.143
_223
100 1 _aMcComb, W. D.
_97682
245 1 0 _aRenormalization methods :
_ba guide for beginners /
_cW. D. McComb.
250 _aFirst Edition
264 3 4 _aOxford :
_bOxford University Press ,
_c2004.
300 _axviii, 330 pages :
_billustrated ;
_c25 cm.
500 _aIncludes index.
504 _aIncludes bibliographical references (pages [320]-321).
505 2 _aI. What is Renormalization? -- 1. bedrock problem: why we need renormalization methods -- 2. Easy applications of Renormalization Group to simple models -- 3. Mean-field theories for simple models -- II. Renormalized Perturbation Theories -- 4. Perturbation theory using a control parameter -- 5. Classical nonlinear systems driven by random noise -- 6. Application of renormalized perturbation theories to turbulence and related problems -- III. Renormalization Group (RG) -- 7. Setting the scene: critical phenomena -- 8. Real-space Renormalization Group -- 9. Momentum-space Renormalization Group -- 10. Field-theoretic Renormalization Group -- 11. Dynamical Renormalization Group applied to classical nonlinear system -- IV. Appendices -- A. Statistical ensembles -- B. From statistical mechanics to thermodynamics -- C. Exact solutions in one and two dimensions -- D. Quantum treatment of the Hamiltonian N-body assembly -- E. Generalization of the Bogoliubov variational method to a spatially varying magnetic field.
520 3 _aThis book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation (and motivation), including meanfield theories and high-temperature and low-density expansions. It then proceeds by easy steps to the famous epsilon-expansion, ending up with the first-order corrections to critical exponents beyond mean-field theory. Nowadays, there is widespread interest in applications of renormalization methods to various topics ranging over soft condensed matter, engineering dynamics, traffic queueing and fluctuations in the stock market. Hence macroscopic systems are also included, with particular emphasis on the archetypal problem of fluid turbulence. The book is also unique in making this material accessible to readers other than theoretical physicists, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.
650 2 4 _aRenormalization (Physics)
_97331
650 2 4 _aQuantum field theory
_95250
650 2 4 _aMathematical physics
_9540
650 2 4 _aRenormalización (Física)
_97683
650 2 4 _aTeoría del campo cuántico
_95251
650 2 4 _aFísica matemática
_92734
906 _a7
_bcbc
_cpccadap
_d2
_encip
_f20
_gy-gencatlg
942 _2ddc
_cLIBRO
955 _apv15 2008-06-24 z-processor to ASCD
_ajp43 2008-08-08 z-processor
_ijp43 2008-08-08
_aaa07 2008-09-19