Titlebook: Quantum Field Theory in Condensed Matter Physics; Naoto Nagaosa Book 1999 Springer-Verlag Berlin Heidelberg 1999 Condensed.Field.Matter.Ph

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Symmetry Breaking and Phase Transition,ransition. These concepts are of great interest in solid state physics, dealing with many-particle systems with about 10. particles. In this chapter, starting with the concept of the order parameter and the basics of the Landau theory, we proceed to a discussion of the Goldstone mode and the absence

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ASSAY

Quantum Hall Liquid and the Chern-Simons Gauge Field,uantum liquid. It has the astonishing property that the elementary excitations obey fractional statistics and that the charge is a fraction of .. In this chapter the quantum field theory of this quantum liquid is discussed, based on the statistical transmutation using the Chern-Simons gauge field.

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Review of Quantum Mechanics and Basic Principles of Field Theory,ory, finally gauge invariance and the gauge field will be introduced, all being fundamental concepts that built the basis for the whole following discussion. The reader should reconfirm the universality of the quantum mechanical description and get a taste of the efficiency of an analogy.

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Symmetry Breaking and Phase Transition, of order in low-dimensional systems. In the second half of the chapter we will focus on phase transitions, where the topological defects play important roles and it is not easy to find the order parameters, as is the case for the Kosterlitz—Thouless transition, and the confinement in gauge theories on a lattice.

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Anthrp

1864-5879 hy is quantum field theory of condensed matter physics necessary? Condensed matter physics deals with a wide variety of topics, ranging from gas to liquids and solids, as well as plasma, where owing to the inter- play between the motions of a tremendous number of electrons and nuclei, rich varieties

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1864-5879 mean field theory, which made important contributions to the explanantion of the electronic structure in solids, and led to the classification of in978-3-642-08485-0978-3-662-03774-4Series ISSN 1864-5879 Series E-ISSN 1864-5887

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Book 1999- scribed by focusing on one electron and replacing the Coulomb interaction of all the other electrons by a mean field potential. This method is called mean field theory, which made important contributions to the explanantion of the electronic structure in solids, and led to the classification of in

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