An Introduction to κ-Deformed Symmetries, Phase Spaces and Field Theory

被引：9

作者：

Arzano, Michele ^{[1
,2
]}

Kowalski-Glikman, Jerzy ^{[3
,4
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Fis E Pancini, I-80125 Naples, Italy

[2] Complesso Univ Monte S Angelo, Sez Napoli, INFN, Via Cintia Edificio 6, I-80126 Naples, Italy

[3] Univ Wroclaw, Inst Theoret Phys, Pl Maksa Borna 9, PL-50204 Wroclaw, Poland

[4] Natl Ctr Nucl Res, Hoza 69, PL-00681 Warsaw, Poland

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 06期

关键词：

Non-commutative field theory; Hopf algebras; deformed relativistic symmetries; POINCARE ALGEBRA; DE-SITTER; QUANTUM; RELATIVITY; QUANTIZATION; DEFORMATION; TIME;

D O I：

10.3390/sym13060946

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this review, we give a basic introduction to the kappa-deformed relativistic phase space and free quantum fields. After a review of the kappa-Poincare algebra, we illustrate the construction of the kappa-deformed phase space of a classical relativistic particle using the tools of Lie bi-algebras and Poisson-Lie groups. We then discuss how to construct a free scalar field theory on the non-commutative kappa-Minkowski space associated to the kappa-Poincare and illustrate how the group valued nature of momenta affects the field propagation.

引用

页数：35

共 64 条

[1] Quantum symmetry, the cosmological constant and Planck-scale phenomenology [J].