How does Casimir energy fall in κ-deformed space-time?

被引：0

作者：

Harikumar, E. ^{[1
]}

Shajesh, K. V. ^{[2
]}

Panja, Suman Kumar ^{[1
]}

机构：

[1] Univ Hyderabad, Sch Phys, Cent Univ PO, Hyderabad 500046, Telangana, India

[2] Southern Illinois Univ Carbondale, Sch Phys & Appl Phys, Carbondale, IL 62901 USA

来源：

EUROPEAN PHYSICAL JOURNAL C | 2024年 / 84卷 / 06期

关键词：

FIELD-THEORY; REALIZATIONS; DEFORMATION; ALGEBRA;

D O I：

10.1140/epjc/s10052-024-13005-z

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We investigate the response of Casimir energies to fluctuations in a scalar field in the background of a weak gravitational field in kappa-deformed space-time. We model the Casimir plates in a gravitational field by kappa-deformed Rindler coordinates and calculate the Casimir energy using the kappa-deformed scalar field. We show that the Casimir energy accelerates in a weak gravitational field like a mass. Thus, our calculations show that the mass-energy equivalence principle holds in kappa-deformed space-time even though a length scale is introduced through space-time non-commutativity.

引用

页数：18

共 67 条

[1] Emergence of a 4D world from causal quantum gravity [J].

Ambjorn, J ;

Jurkiewicz, J ;

Loll, R .

PHYSICAL REVIEW LETTERS, 2004, 93 (13) :131301-1

[2]

[Anonymous], 1973, GRAVITATION

[3]

[Anonymous], 1965, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables

[4] A gravity theory on noncommultative spaces [J].

Aschieri, P ;

Blohmann, C ;

Dimitrijevi, M ;

Meyer, F ;

Schupp, P ;

Wess, J .

CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (17) :3511-3532

[5] Noncommutative geometry and gravity [J].

Aschieri, Paolo ;

Dimitrijevic, Marija ;

Meyer, Frank ;

Wess, Julius .

CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (06) :1883-1911

[6]

Balachandran A. P., 2007, Lectures on Fuzzy and Fuzzy SUSY Physics

[7] Energy-momentum tensor for a Casimir apparatus in a weak gravitational field [J].

Bimonte, Giuseppe ;

Calloni, Enrico ;

Esposito, Giampiero ;

Rosa, Luigi .

PHYSICAL REVIEW D, 2006, 74 (08)

[8]

Born M, 1909, ANN PHYS-BERLIN, V30, P1

[9] Constraints on the quantum gravity scale from κ-Minkowski spacetime [J].

Borowiec, A. ;

Gupta, Kumar S. ;

Meljanac, S. ;

Pachol, A. .

EPL, 2010, 92 (02)

[10]

Caldwell RR, 2002, Arxiv, DOI arXiv:astro-ph/0209312

← 1 2 3 4 5 6 7 →