Introduction to Conformal Invariance and Its Applications to Critical Phenomena (Record no. 31935)

000 -LEADER
fixed length control field 04101nam a22005535i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540475750
-- 978-3-540-47575-0
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 536.7
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Christe, P.
245 10 - TITLE STATEMENT
Title Introduction to Conformal Invariance and Its Applications to Critical Phenomena
Statement of responsibility, etc by P. Christe, M. Henkel.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1993.
300 ## - PHYSICAL DESCRIPTION
Number of Pages XV, 260 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Physics Monographs,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Critical Phenomena: a Reminder -- Conformal Invariance and the Stress-Energy Tensor -- Finite Size Scaling -- Representation Theory of the Virasoro Algebra -- Operator Algebra and Correlation Functions -- The Ising Model Correlation Functions -- Coulomb Gas Realization -- The Hamiltonian Limit and Universality -- Numerical Techniques -- Conformal Invariance in the Ising Quantum Chain -- Modular Invariance -- Further Developments and Applications -- Conformal Perturbation Theory -- The Vicinity of the Critical Point -- Surface Critical Phenomena -- Outlook: Beyond the Conformal Group.
520 ## - SUMMARY, ETC.
Summary, etc The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31°C and 73 atmospheres pressure. In the neighborhood ofthis point the carbon dioxide was observed to become opalescent, that is, light is strongly scattered. This is nowadays interpreted as comingfrom the strong fluctuations of the system close to the critical point. Subsequently, a wide varietyofphysicalsystems were realized to display critical points as well. Ofparticular importance was the observation of a critical point in ferromagnetic iron by Curie. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and may even extend to the quark-gluon plasmaand the early universe as a whole. Early theoretical investigationstried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations and culminating in Landau's general theory of critical phenomena. In a dramatic development, Onsager's exact solutionofthe two-dimensional Ising model made clear the important role of the critical fluctuations. Their role was taken into account in the subsequent developments leading to the scaling theories of critical phenomena and the renormalization group. These developements have achieved a precise description of the close neighborhood of the critical point and results are often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is today emphasized.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Statistical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Thermodynamics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Crystals.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Thermodynamics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Statistical Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical Methods in Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Numerical and Computational Methods.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Partially Ordered Systems, Glasses, Quasicrystals.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Henkel, M.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-540-47575-0
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1993.
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-- rdamedia
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-- online resource
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-- text file
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0940-7677 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK2641 http://dx.doi.org/10.1007/978-3-540-47575-0 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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