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Quantum field theory and condensed matter : = an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantum field theory and condensed matter :/ R. Shankar, Yale University, Connecticut.
其他題名:	an introduction /
作者:	Shankar, Ramamurti,
面頁冊數:	1 online resource (xiv, 439 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 24 Oct 2017).
標題:	Condensed matter. -
電子資源:	https://doi.org/10.1017/9781139044349
ISBN:	9781139044349 (ebook)

Quantum field theory and condensed matter : = an introduction /
Shankar, Ramamurti,

Quantum field theory and condensed matter :an introduction /R. Shankar, Yale University, Connecticut. - 1 online resource (xiv, 439 pages) :digital, PDF file(s). - Cambridge monographs on mathematical physics. - Cambridge monographs on mathematical physics..

Title from publisher's bibliographic system (viewed on 24 Oct 2017).

Thermodynamics and statistical mechanics review -- Ising model in d = 0 and d = 1 -- Statistical to quantum mechanics -- Quantum to statistical mechanics -- Feynman path integral -- Coherent state path integrals for spins, bosons and fermions -- The two-dimensional Ising model -- Exact solution of the two-dimensional Ising model -- Majorana fermions -- Gauge theories -- The renormalization group -- Critical phenomena: the puzzle and resolution -- RG for the [phi]4 model -- Two views of renormalization -- RG for non-relativistic fermions: I -- RG for non-relativistic fermions: II -- Bosonization I: the fermion-boson dictionary -- Bosonization II: selected applications -- Duality and triality -- Techniques for the QHE.

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

ISBN: 9781139044349 (ebook)Subjects--Topical Terms:

579760
Condensed matter.

LC Class. No.: QC174.45 / .S475 2017

Dewey Class. No.: 530.14/3

Quantum field theory and condensed matter : = an introduction /
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505 0 $a Thermodynamics and statistical mechanics review -- Ising model in d = 0 and d = 1 -- Statistical to quantum mechanics -- Quantum to statistical mechanics -- Feynman path integral -- Coherent state path integrals for spins, bosons and fermions -- The two-dimensional Ising model -- Exact solution of the two-dimensional Ising model -- Majorana fermions -- Gauge theories -- The renormalization group -- Critical phenomena: the puzzle and resolution -- RG for the [phi]4 model -- Two views of renormalization -- RG for non-relativistic fermions: I -- RG for non-relativistic fermions: II -- Bosonization I: the fermion-boson dictionary -- Bosonization II: selected applications -- Duality and triality -- Techniques for the QHE.
520 $a Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.
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650 0 $a Quantum field theory. $3 579915
776 0 8 $i Print version: $z 9780521592109
830 0 $a Cambridge monographs on mathematical physics. $3 1238364
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