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Postmodern fermi liquids

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Postmodern fermi liquids/ by Umang Mehta.
作者:	Mehta, Umang.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xv, 102 p. :ill. (some col.), digital ;24 cm.
附註:	"Doctoral thesis accepted by the University of Chicago, USA."
內容註:	1 Introduction -- 2 Review and History of Fermi Liquid Theory -- 3 Postmodern Fermi Liquids -- 4 The Operator Algebra and the Hamiltonian Formalism -- 5 Effective Action from the Coadjoint Orbit Method -- 6 A Road to Perturbative Non-Fermi Liquids -- 7 Spin and BCS Extensions -- 8 Conclusion and Outlook.
Contained By:	Springer Nature eBook
標題:	Fermi liquids. -
電子資源:	https://doi.org/10.1007/978-3-031-72403-9
ISBN:	9783031724039

Postmodern fermi liquids
Mehta, Umang.

Postmodern fermi liquids[electronic resource] /by Umang Mehta. - Cham :Springer Nature Switzerland :2024. - xv, 102 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral thesis accepted by the University of Chicago, USA."

1 Introduction -- 2 Review and History of Fermi Liquid Theory -- 3 Postmodern Fermi Liquids -- 4 The Operator Algebra and the Hamiltonian Formalism -- 5 Effective Action from the Coadjoint Orbit Method -- 6 A Road to Perturbative Non-Fermi Liquids -- 7 Spin and BCS Extensions -- 8 Conclusion and Outlook.

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 determined by symmetries. After analyzing the benefits and limitations of this geometric formalism, pathways to extensions of the formalism to include superconducting and magnetic phases, as well as applications to the problem of non-Fermi liquids, are discussed. The thesis begins with a pedagogical review of Fermi liquid theory and concludes with a discussion on possible future directions for Fermi surface physics, and more broadly, the usefulness of diffeomorphism groups in condensed matter physics.

ISBN: 9783031724039

Standard No.: 10.1007/978-3-031-72403-9doiSubjects--Topical Terms:

3733958
Fermi liquids.

LC Class. No.: QC176.8.F4

Dewey Class. No.: 530.42

Postmodern fermi liquids
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505 0 $a 1 Introduction -- 2 Review and History of Fermi Liquid Theory -- 3 Postmodern Fermi Liquids -- 4 The Operator Algebra and the Hamiltonian Formalism -- 5 Effective Action from the Coadjoint Orbit Method -- 6 A Road to Perturbative Non-Fermi Liquids -- 7 Spin and BCS Extensions -- 8 Conclusion and Outlook.
520 $a 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 determined by symmetries. After analyzing the benefits and limitations of this geometric formalism, pathways to extensions of the formalism to include superconducting and magnetic phases, as well as applications to the problem of non-Fermi liquids, are discussed. The thesis begins with a pedagogical review of Fermi liquid theory and concludes with a discussion on possible future directions for Fermi surface physics, and more broadly, the usefulness of diffeomorphism groups in condensed matter physics.
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650 2 4 $a Low Temperature Physics. $3 1244627
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650 2 4 $a Topological Groups and Lie Groups. $3 3593340
650 2 4 $a Quantum Electrodynamics, Relativistic and Many-body Calculations. $3 3593588
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
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