國立虎尾科技大學 |

Non-invertible symmetry in 4-dimensional Z2 lattice gauge theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Non-invertible symmetry in 4-dimensional Z2 lattice gauge theory/ by Masataka Koide.
作者:	Koide, Masataka.
出版者:	Singapore :Springer Nature Singapore : : 2025.,
面頁冊數:	xiv, 88 p. :ill., digital ; : 24 cm.;
附註:	"Doctoral theses accepted by Osaka University, Toyonaka, Osaka, Japan."
Contained By:	Springer Nature eBook
標題:	Mathematical Methods in Physics. -
電子資源:	https://doi.org/10.1007/978-981-96-2272-6
ISBN:	9789819622726

Non-invertible symmetry in 4-dimensional Z2 lattice gauge theory
Koide, Masataka.

Non-invertible symmetry in 4-dimensional Z2 lattice gauge theory[electronic resource] /by Masataka Koide. - Singapore :Springer Nature Singapore :2025. - xiv, 88 p. :ill., digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral theses accepted by Osaka University, Toyonaka, Osaka, Japan."

Chapter 1 Introduction -- Chapter 2 Symmetry and Topological defect -- Chapter 3 Ising model and Kramers-Wannier duality -- Chapter 4 KWW defect in 4-dimensional lattice gauge theory -- Chapter 5 Application to g-functions -- Chapter 6 Conclusion and discussion -- Appendix.

This book provides a method for concretely constructing defects that represent non-invertible symmetries in four-dimensional lattice gauge theory. In terms of generalized symmetry, a symmetry is considered to be equivalent to a topological operator whose value does not change even if the shape is topologically transformed. Even for models that lack symmetry in the traditional sense and are difficult to analyze, it is possible to analyze them as long as a generalized symmetry exists. Therefore, generalized symmetry is important for the non-perturbative analysis of quantum field theory. Some topological operators have no group structure, and the corresponding symmetries are called non-invertible symmetries. Concrete examples of non-invertible symmetries in higher-dimensional theories were discovered around 2020, and they have been actively studied as a field of generalized symmetries since then. This book explains the non-invertible symmetry represented by the Kramers-Wannier-Wegner duality, which was found firstly in a four-dimensional theory, represented by three-dimensional defects. This book is intended for those with preliminary knowledge of quantum field theory and statistical mechanics.

ISBN: 9789819622726

Standard No.: 10.1007/978-981-96-2272-6doiSubjects--Topical Terms:

670749
Mathematical Methods in Physics.

LC Class. No.: QC174.17.S9

Dewey Class. No.: 539.725

Non-invertible symmetry in 4-dimensional Z2 lattice gauge theory
LDR:02604nam a2200349 a 4500 001 1162570
003 DE-He213
005 20250418133417.0
006 m d
007 cr nn 008maaau
008 251029s2025 si s 0 eng d
020 $a 9789819622726 $q (electronic bk.)
020 $a 9789819622719 $q (paper)
024 7 $a 10.1007/978-981-96-2272-6 $2 doi
035 $a 978-981-96-2272-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.17.S9
072 7 $a PHP $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHP $2 thema
082 0 4 $a 539.725 $2 23
090 $a QC174.17.S9 $b K79 2025
100 1 $a Koide, Masataka. $3 1489385
245 1 0 $a Non-invertible symmetry in 4-dimensional Z2 lattice gauge theory $h [electronic resource] / $c by Masataka Koide.
260 $a Singapore : $c 2025. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a xiv, 88 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5061
500 $a "Doctoral theses accepted by Osaka University, Toyonaka, Osaka, Japan."
505 0 $a Chapter 1 Introduction -- Chapter 2 Symmetry and Topological defect -- Chapter 3 Ising model and Kramers-Wannier duality -- Chapter 4 KWW defect in 4-dimensional lattice gauge theory -- Chapter 5 Application to g-functions -- Chapter 6 Conclusion and discussion -- Appendix.
520 $a This book provides a method for concretely constructing defects that represent non-invertible symmetries in four-dimensional lattice gauge theory. In terms of generalized symmetry, a symmetry is considered to be equivalent to a topological operator whose value does not change even if the shape is topologically transformed. Even for models that lack symmetry in the traditional sense and are difficult to analyze, it is possible to analyze them as long as a generalized symmetry exists. Therefore, generalized symmetry is important for the non-perturbative analysis of quantum field theory. Some topological operators have no group structure, and the corresponding symmetries are called non-invertible symmetries. Concrete examples of non-invertible symmetries in higher-dimensional theories were discovered around 2020, and they have been actively studied as a field of generalized symmetries since then. This book explains the non-invertible symmetry represented by the Kramers-Wannier-Wegner duality, which was found firstly in a four-dimensional theory, represented by three-dimensional defects. This book is intended for those with preliminary knowledge of quantum field theory and statistical mechanics.
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Mathematical Physics. $3 786661
650 1 4 $a Elementary Particles, Quantum Field Theory. $3 672693
650 0 $a Lattice gauge theories. $3 1104395
650 0 $a Symmetry (Physics) $3 591962
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Springer theses. $3 831604
856 4 0 $u https://doi.org/10.1007/978-981-96-2272-6
950 $a Physics and Astronomy (SpringerNature-11651)