1.

Record Nr.

UNINA9911022178103321

Autore

Iqbal Nabil

Titolo

Lectures on Generalized Global Symmetries : Principles and Applications / / by Nabil Iqbal

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

9783032000224

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (X, 76 p. 14 illus., 8 illus. in color.)

Collana

SpringerBriefs in Physics, , 2191-5431

Disciplina

530.14

Soggetti

Particles (Nuclear physics)

Quantum field theory

Condensed matter

Statistical mechanics

Elementary Particles, Quantum Field Theory

Particle Physics

Condensed Matter Physics

Statistical Mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction motivation and high level explanation of how gauge theories necessitate the understanding of new symmetry principles -- Ordinary global symmetries phases of matter and the landau paradigm explanation of the landau paradigm of the phases of matter and the reformulation of conventional global symmetries in the language of topological operators -- Higher form symmetries explanation of higher form symmetries in the language of topological operators -- Applications examples including electrodynamics non abelian gauge theory in the continuum and the lattice and goldstones theorem -- Non invertible symmetries the axial anomaly explanation of anomalies discussion of axial anomaly in terms of non-invertible symmetry -- More applied applications applications of higher form symmetries to problems in hydrodynamics.

Sommario/riassunto

This open access book provides an introductory set of lectures on generalized global symmetries, originally delivered at the Jena TPI School on Quantum Field Theory and Holography. It is designed to be



accessible to readers with a basic understanding of quantum field theory. The topics include an introduction to higher-form symmetries and their applications in various contexts: Abelian and non-Abelian gauge theories (in both continuum and lattice formulations), statistical mechanics, the Adler-Bell-Jackiw anomaly viewed through the lens of non-invertible symmetries, and magnetohydrodynamics. The book minimizes mathematical formalism and focuses on the global symmetry structures present in well-known physical models.