书目名称 | Postmodern Fermi Liquids | 编辑 | Umang Mehta | 视频video | | 概述 | Nominated as an outstanding Thesis by the University of Chicago, USA.Provides a pedagogical introduction to the formalism of Fermi liquids.Discusses future directions for Fermi surface physics and the | 丛书名称 | Springer Theses | 图书封面 |  | 描述 | .This thesis develops a new approach to Fermi liquids based on the mathematical formalism of coadjoint orbits, allowing Landau’s Fermi liquid theory to be recast in a simple and elegant way as a field theory. The theory of Fermi liquids is a cornerstone of condensed matter physics with many applications, but efforts to cast Landau’s Fermi liquid theory in the modern language of effective field theory suffer from technical and conceptual difficulties: the Fermi surface seems to defy a simple effective field theory description. This thesis reviews the recently-developed formalism for Fermi liquids that exploits an underlying structure described by the group of canonical transformations of a single particle phase space. This infinite-dimensional group governs the space of states of zero temperature Fermi liquids and allows one to write down a nonlinear, bosonized action that reproduces Landau’s kinetic theory in the classical limit. The thesis then describes how that Fermi liquid theory can essentially be thought of as a non-trivial representation of the Lie group of canonical transformations, bringing it within the fold of effective theories in many-body physics whose structure is de | 出版日期 | Book 2024 | 关键词 | Fermi liquid; interacting fermion; effective field theory; coadjoint orbit; Fermi surface; Lie group of c | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-72403-9 | isbn_softcover | 978-3-031-72405-3 | isbn_ebook | 978-3-031-72403-9Series ISSN 2190-5053 Series E-ISSN 2190-5061 | issn_series | 2190-5053 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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