Localizability in κ-Minkowski spacetime

被引：9

作者：

Lizzi, Fedele ^{[1
,2
,3
,4
]}

Manfredonia, Mattia ^{[1
,2
]}

Mercati, Flavio ^{[1
,2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Fis Ettore Pancini, Via Cintia, I-80127 Naples, Italy

[2] Ist Nazl Fis Nucl, Sez Napoli, Via Cintia, I-80127 Naples, Italy

[3] Univ Barcelona, Dept Fis Quant & Astrofis, Marti & Franques 1, Barcelona 08028, Spain

[4] Univ Barcelona, Inst Ciencies Cosmos ICCUB, Marti & Franques 1, Barcelona 08028, Spain

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2020年 / 17卷

关键词：

Noncommutative geometry; kappa-Minkowski; quantum space; POINCARE GROUP; QUANTUM; REALIZATIONS; DEFORMATION; ALGEBRA;

D O I：

10.1142/S0219887820400101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the methods of ordinary quantum mechanics, we study kappa-Minkowski space as a quantum space described by noncommuting self-adjoint operators, following and enlarging T. Poulain and J.-C. Wallet, "kappa-Poincare invariant orientable field theories with at 1-loop: Scale-invariant couplings, preprint (2018), arXiv: 1808.00350 [hep-th]. We see how the role of Fourier transforms is played in this case by Mellin transforms. We briefly discuss the role of transformations and observers.

引用

页数：14

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