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Deformations of spacetime symmetries...

Arzano, Michele.

Deformations of spacetime symmetriesgravity, group-valued momenta and non-commutative fields /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Deformations of spacetime symmetriesby Michele Arzano, Jerzy Kowalski-Glikman.
其他題名:	gravity, group-valued momenta and non-commutative fields /
作者:	Arzano, Michele.
其他作者:	Kowalski-Glikman, Jerzy.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg :2021.
面頁冊數:	xiii, 192 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Mathematical physics.
電子資源:	https://doi.org/10.1007/978-3-662-63097-6
ISBN:	9783662630976$q(electronic bk.)

Deformations of spacetime symmetriesgravity, group-valued momenta and non-commutative fields /
Arzano, Michele.

Deformations of spacetime symmetriesgravity, group-valued momenta and non-commutative fields /[electronic resource] :by Michele Arzano, Jerzy Kowalski-Glikman. - Berlin, Heidelberg :Springer Berlin Heidelberg :2021. - xiii, 192 p. :ill., digital ;24 cm. - Lecture notes in physics,v.9860075-8450 ;. - Lecture notes in physics ;650..

Invitation: gravity, point particles, and group-valued momenta -- Gravity in 2+1 dimensions as a Chern-Simons theory -- Gravity in 3+1 dimensions, particles and topological limit -- Deformed classical particles: phase space and kinematics -- Hopf algebra relativistic symmetries: the k-Poincare algebra -- Classical fields, symmetries and conserved charges -- Free quantum fields and discrete symmetries.

This monograph provides an introduction to deformations of Poincare symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms of Hopf algebras and applications to particle kinematics and field theory. Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on k-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincare symmetry. The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.

ISBN: 9783662630976$q(electronic bk.)

Standard No.: 10.1007/978-3-662-63097-6doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20 / .A793 2021

Dewey Class. No.: 530.15

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520 $a This monograph provides an introduction to deformations of Poincare symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms of Hopf algebras and applications to particle kinematics and field theory. Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on k-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincare symmetry. The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.
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