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We give a complete framework for the Gupta-Bleuler quantization of the free electromagnetic field on globally hyperbolic space-times. We describe one-particle structures that give rise to states satisfying the microlocal spectrum condition.…

数学物理 · 物理学 2021-10-22 Felix Finster , Alexander Strohmaier

We present a Gupta-Bleuler quantization scheme for the electromagnetic field in time-dependent dielectric media. Starting from the Maxwell equations, a generalization of the Lorentz gauge condition adapted to time varying dielectrics is…

量子物理 · 物理学 2011-04-19 Xiao-Min Bei , Zhong-Zhu Liu

We have established the Gupta-Bleuler quantization of the photon belonging to the anisotropic parity-even sector of the CPT-even and Lorentz-violating nonbirefringent electrodynamics of the standard model extension. We first present a rule…

高能物理 - 理论 · 物理学 2015-02-17 R. Casana , M. M. Ferreira , F. E. P. dos Santos

We formulate the Gupta-Bleuler canonical, covariant and gauge invariant supersymmetric quantization of the supersymmetric (massless) vector field. Our main tool is the recently introduced Hilbert-Krein structure of the N=1 superspace.

高能物理 - 理论 · 物理学 2007-05-23 Florin Constantinescu

We present in this paper a fully covariant quantization of the minimally-coupled massless field on de Sitter space. We thus obtain a formalism free of any infrared (e.g logarithmic) divergence. Our method is based on a rigorous group…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J-P. Gazeau , J. Renaud , M. V. Takook

The quantization of gauge fields with the help of the Gupta-Bleuler formalism is reviewed.

数学物理 · 物理学 2007-05-23 H. Gottschalk

We study gauge fixing in the generalized Gupta-Bleuler quantization. In this method physical states are defined to be simultaneous null eigenstates of a set of quantum invariants. We apply the method to a solvable model proposed by…

高能物理 - 理论 · 物理学 2007-05-23 F. Loran

In the framework of the canonical quantization of the electromagnetic field, we impose as primary condition on the dynamics the positive definiteness of the energy spectrum. This implies that (Glauber) coherent states have to be considered…

量子物理 · 物理学 2018-09-26 M. Blasone , E. Celeghini , P. Jizba , F. Scardigli , G. Vitiello

{Following a successfully quantization scheme previously }{{% developed {\ in Ref. \cite{GUPTAEVEN} for a}} parity-even {gauge sector} {of the SME, we}} have established the Gupta-Bleuler {% quantization {of a} {\ parity-odd} and CPT-even…

高能物理 - 理论 · 物理学 2017-01-04 R. Casana , M. M. Ferreira , F. E. P. dos Santos

Application of Krein space quantization to the linear gravity in de Sitter space-time have constructed on Gupta-Bleuler vacuum state, resulting in removal of infrared divergence and preserving de Sitter covariant. By pursuing this path, the…

广义相对论与量子宇宙学 · 物理学 2019-07-02 M. Enayati , S. Rouhani , M. V. Takook

It has been shown that the Gupta-Bleuler method of quantization can be used to impose the Lorentz gauge condition in static space-times but not in cosmological space-times. This implies that the Gupta-Bleuler approach fails in general in…

广义相对论与量子宇宙学 · 物理学 2016-07-14 Christopher Garner , Dan N. Vollick

In a recent Letter, we have pointed out that the linearized Einstein gravity in de Sitter (dS) spacetime besides the spacetime symmetries generated by the Killing vectors and the evident gauge symmetry also possesses a hitherto `hidden'…

广义相对论与量子宇宙学 · 物理学 2019-09-12 Hamed Pejhan , Mohammad Enayati , Jean-Pierre Gazeau , Anzhong Wang

Photon quantization is implemented in the standard model extension (SME) using the Gupta-Bleuler method and BRST concepts. The quantization prescription applies to both the birefringent and non-birefringent CPT-even couplings. A curious…

高能物理 - 唯象学 · 物理学 2014-04-23 Don Colladay , Patrick McDonald , Robertus Potting

We introduce the method of topological quantization for gravitational fields in a systematic manner. First we show that any vacuum solution of Einstein's equations can be represented in a principal fiber bundle with a connection that takes…

数学物理 · 物理学 2009-11-10 Leonardo Patino , Hernando Quevedo

We study quantum gravity in more than four dimensions by means of an exact functional flow. A non-trivial ultraviolet fixed point is found in the Einstein-Hilbert theory. It is shown that our results for the fixed point and universal…

高能物理 - 理论 · 物理学 2009-11-11 Peter Fischer , Daniel F. Litim

The gravitational field of an idealized plane-wave solution of the Maxwell equations can be described in closed form. After discussing this particular solution of the Einstein-Maxwell equations, the motion of neutral test particles, which…

广义相对论与量子宇宙学 · 物理学 2022-09-28 Jan . W. van Holten

Hamiltonian models based on two different infrared approximations are studied in order to obtain an explicit comparison with the standard analysis of the infrared contributions, occurring in the relativistically covariant perturbative…

数学物理 · 物理学 2011-10-25 Simone Zerella

In a former paper we proposed a model for the quantization of gravity by working in a bundle $E$ where we realized the Hamilton constraint as the Wheeler-DeWitt equation. However, the corresponding operator only acts in the fibers and not…

广义相对论与量子宇宙学 · 物理学 2018-10-23 Claus Gerhardt

The design of optical systems capable of processing and manipulating ultra-short pulses and ultra-focused beams is highly challenging with far reaching fundamental technological applications. One key obstacle routinely encountered while…

可精确求解与可积系统 · 物理学 2016-04-13 Maria Chiara Braidotti , Ziad H. Musslimani , Claudio Conti

The canonical quantization in Weyl gauge of gauge fields in static space-times is presented. With an appropriate definition of transverse and longitudinal components of gauge fields, the Gauss law constraint is resolved explicitly for…

高能物理 - 理论 · 物理学 2009-02-23 F. Lenz , K. Ohta , K. Yazaki
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