Covariant quantization of the Maxwell field in de Sitter space from SO0(2,4)-invariance

被引：0

作者：

Huguet, E. ^{[1
]}

Faci, S. ^{[1
]}

Queva, J.

Renaud, J.

机构：

[1] Univ Paris 07, APC Astroparticule & Cosmol, CNRS, UMR 7164, F-75205 Paris 13, France

来源：

GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS | 2011年 / 284卷

关键词：

GAUGE;

D O I：

10.1088/1742-6596/284/1/012034

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a SO(0)(2, 4)-invariant quantization of the free electromagnetic field in de Sitter space. Precisely, we quantize the Maxwell ("massless spin one") de Sitter field in a conformally invariant gauge. This result is obtained thanks to a canonical quantization scheme of the Gupta-Bleuler type and to a geometrical formalism in which the Minkowski, de Sitter and anti-de Sitter spaces are realized as intersections of the five dimensional null cone of R(6) and a moving hyperplane. We obtain a new and simple de Sitter invariant two-point function.

引用

页数：9

共 10 条

[1] Conformally covariant quantization of the Maxwell field in de Sitter space
Faci, S.
Huguet, E.
Queva, J.
Renaud, J.
PHYSICAL REVIEW D, 2009, 80 (12):
[2] SO(2,4)-covariant quantization of the Maxwell field in conformally flat spaces
Faci, Sofiane
PHYSICAL REVIEW D, 2013, 87 (06):
[3] The First Quantization of Spin 3/2 Field in de Sitter Space
Pahlavan, A.
Bahari, A.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2009, 48 (05) : 1449 - 1453
[4] Revisiting the conformal invariance of the scalar field: From Minkowski space to de Sitter space
Huguet, E.
Queva, J.
Renaud, J.
PHYSICAL REVIEW D, 2008, 77 (04):
[5] COVARIANT TWO-POINT FUNCTION FOR MASSLESS SPIN-2 FIELD IN DE SITTER SPACE
Dehghani, M.
MODERN PHYSICS LETTERS A, 2009, 24 (40) : 3283 - 3294
[6] THE INDECOMPOSABLE REPRESENTATION OF SO0(2,2) ON THE ONE-PARTICLE SPACE OF THE MASSLESS FIELD IN 1+1-DIMENSION
DEBIEVRE, S
RENAUD, J
LETTERS IN MATHEMATICAL PHYSICS, 1995, 34 (04) : 385 - 393
[7] QUANTIZATION OF THE NILPOTENT ORBITS IN SO(1,2)ASTERISK AND MASSLESS PARTICLES ON (ANTI)DE SITTER SPACE-TIME
DEBIEVRE, S
RENAUD, J
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (08) : 3775 - 3793
[8] Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations .2. Basic gauge-invariant variables with applications to de Sitter space-time
Banach, Z
Piekarski, S
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1997, 36 (08) : 1817 - 1842
[9] Covariant quantization of “massive” spin-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\frac{3}{2}$\end{document} fields in the de sitter space
M. V. Takook
A. Azizi
E. Babaian
The European Physical Journal C, 2012, 72 (6):
[10] The First Quantization of Spin \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\frac{3}{2}$\end{document} Field in de Sitter Space
A. Pahlavan
A. Bahari
International Journal of Theoretical Physics, 2009, 48 (5) : 1449 - 1453

← 1 →