Pauli-Jordan function and scalar field quantization in κ-Minkowski noncommutative spacetime

被引：25

作者：

Mercati, Flavio ^{[1
]}

Sergola, Matteo ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Fis, Ple A Moro 2, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW D | 2018年 / 98卷 / 04期

关键词：

DOUBLY SPECIAL RELATIVITY; TIME; POINCARE; BREAKING; PARTICLE;

D O I：

10.1103/PhysRevD.98.045017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study a complex free scalar field theory on a noncommutative background spacetime called kappa-Minkowski. We ensure the Lorentz invariance of the theory by assuming an "elliptic de Sitter" topology for momentum space. To define covariant quantization rules, we introduce a noncommutative Pauli-Jordan function, which is invariant under kappa-deformed Poincare transformations, as well as diffeomorphisms of momentum space. We derive the algebra of creation and annihilation operators implied by our Pauli-Jordan function. Finally, we use our construction to study the structure of the light cone in kappa-Minkowski spacetime, and to derive its physical consequences.

引用

页数：30

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