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Deformations of Spacetime S...
This monograph provides an introduction to deformations of Poincaré 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 κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré 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.
Monografía
monografia Rebiun28870355 https://catalogo.rebiun.org/rebiun/record/Rebiun28870355 DE-He213 cr nn 008mamaa 210723s2021 gw | s |||| 0|eng d 9783662630976 978-3-662-63097-6 10.1007/978-3-662-63097-6 doi UR0515771 UR PHR bicssc SCI061000 bisacsh PHDV thema PHR thema 530.1 23 Arzano, Michele. author. aut. http://id.loc.gov/vocabulary/relators/aut Deformations of Spacetime Symmetries electronic resource] :] Gravity, Group-Valued Momenta, and Non-Commutative Fields by Michele Arzano, Jerzy Kowalski-Glikman. 1st ed. 2021 Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer 2021. Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg Imprint: Springer XIII, 192 p. 10 illus., 8 illus. in color. online resource. XIII, 192 p. 10 illus., 8 illus. in color. Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture Notes in Physics 0075-8450 986 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-Poincarè algebra -- Classical fields, symmetries and conserved charges -- Free quantum fields and discrete symmetries. This monograph provides an introduction to deformations of Poincaré 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 κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré 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. Gravitation. Elementary particles (Physics) Quantum field theory. Physics. Mathematical physics. Classical and Quantum Gravitation, Relativity Theory. Elementary Particles, Quantum Field Theory. Mathematical Methods in Physics. Mathematical Physics. Kowalski-Glikman, Jerzy. author. aut. http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) Springer Nature eBook Springer Nature eBook Printed edition 9783662630952 Printed edition 9783662630969 Lecture Notes in Physics 0075-8450 986.