Deformations of Spacetime Symmetries: Gravity, Group-Valued Momenta, and Non-Commutative Fields
暫譯: 時空對稱的變形：重力、群值動量與非交換場
Arzano, Michele, Kowalski-Glikman, Jerzy
- 出版商: Springer
- 出版日期: 2021-06-15
- 售價: $3,560
- 貴賓價: 9.5 折 $3,382
- 語言: 英文
- 頁數: 192
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3662630958
- ISBN-13: 9783662630952
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商品描述
This monograph provides an introduction to deformations of Poincar 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 Poincar 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.
商品描述(中文翻譯)
這本專著介紹了Poincaré對稱性的變形，重點在於具有李群動量空間及相關的非交換時空模型。強調這些結構如何從量子引力中出現，並以Hopf代數的數學特徵來描述，還有其在粒子運動學和場論中的應用。
本書的第一部分專注於重力與變形對稱性之間的聯繫，特別是在2+1和3+1時空維度的情況下。第二部分則致力於描述具有群值動量的經典粒子、它們的相空間和運動學。這些筆記的最後一部分介紹了在κ-Minkowski時空上經典和量子場論的基本特徵，這是展示變形Poincaré對稱性的非交換時空的原型例子。
這段文字是首個提供這些主題詳細概述的資料，主要針對對非交換場論和量子引力現象學感興趣的研究人員和研究生。
作者簡介
Michele Arzano is a researcher in theoretical physics at the University of Naples "Federico II". He obtained his PhD from the University of North Carolina at Chapel Hill and has held positions at the Perimeter Institute for Theoretical Physics in Canada, at the Institute for Theoretical Physics at Utrecht University in the Netherlands and at "Sapienza" University of Rome in Italy. His research interests over the years have ranged from non-commutative field theory and deformed symmetries to quantum effects in curved spacetimes and black hole thermodynamics. More recently he has contributed to research on asymptotic symmetries in general relativity and conformal quantum mechanics.
Jerzy Kowalski-Glikman is a professor at the Institute of Theoretical Physics of the University of Wroclaw and at National Centre for Nuclear Research in Warsaw. He got his PhD in 1985 from the University of Warsaw and habilitation in 1994 from the University of Wroclaw and full professorship in 2002. His research interests include quantum gravity and quantum gravity phenomenology, non-commutative field theories, cosmology, and string theory. He is author of more than hundred research papers published on international peer reviewed journals.
作者簡介(中文翻譯)
米凱勒·阿爾扎諾是那不勒斯「費德里科二世」大學的理論物理研究員。他在北卡羅來納大學教堂山分校獲得博士學位，並曾在加拿大的邊界理論物理研究所、荷蘭烏特勒支大學的理論物理研究所以及意大利「薩賓納」大學任職。他多年的研究興趣涵蓋了非交換場論和變形對稱性、彎曲時空中的量子效應以及黑洞熱力學。最近，他對廣義相對論中的漸近對稱性和共形量子力學的研究做出了貢獻。
耶日·科瓦爾斯基-格利克曼是弗羅茨瓦夫大學理論物理研究所和華沙國家核研究中心的教授。他於1985年在華沙大學獲得博士學位，1994年在弗羅茨瓦夫大學獲得資格認證，並於2002年成為正教授。他的研究興趣包括量子引力和量子引力現象學、非交換場論、宇宙學和弦理論。他是超過一百篇在國際同行評審期刊上發表的研究論文的作者。
