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Related papers: Gupta-Bleuler Photon Quantization in the SME

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The Gupta Bleuler quantization procedure is applied to the SME photon sector. A direct application of the method to the massless case fails due to an unavoidable incompleteness in the polarization states. A mass term can be included into…

High Energy Physics - Phenomenology · Physics 2017-08-23 Don Colladay

{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…

High Energy Physics - Theory · Physics 2017-01-04 R. Casana , M. M. Ferreira , F. E. P. dos Santos

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…

High Energy Physics - Theory · Physics 2015-02-17 R. Casana , M. M. Ferreira , F. E. P. dos Santos

Perturbative calculations in quantum field theory often require the regularization of infrared divergences. In quantum electrodynamics, such a regularization can for example be accomplished by a photon mass introduced via the Stueckelberg…

High Energy Physics - Phenomenology · Physics 2017-08-23 Mauro Cambiaso , Ralf Lehnert , Robertus Potting

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.

High Energy Physics - Theory · Physics 2007-05-23 Florin Constantinescu

A quantization scheme based on the extension of phase space with application of constrained quantization technic is considered. The obtained method is similar to the geometric quantization. For constrained systems the problem of scalar…

High Energy Physics - Theory · Physics 2009-10-30 George Jorjadze

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…

Quantum Physics · Physics 2011-04-19 Xiao-Min Bei , Zhong-Zhu Liu

We present a covariant framework for the quantization of the electromagnetic field in the presence of magnetic monopoles. Building on the two-potential formalism of Cabibbo and Ferrari, which treats electric and magnetic sources on equal…

High Energy Physics - Theory · Physics 2025-09-29 Kanan Anwar

We perform the covariant canonical quantization of the CPT- and Lorentz-symmetry-violating photon sector of the minimal Standard-Model Extension, which contains a general (timelike, lightlike, or spacelike) fixed background tensor…

High Energy Physics - Theory · Physics 2017-02-08 D. Colladay , P. McDonald , J. P. Noordmans , R. Potting

We present a consistent, generally covariant quantization of light for non-vacuum birefringent, Lorentz-symmetry breaking electrodynamics in the context of the Standard Model Extension. We find that the number of light quanta in the field…

Quantum Physics · Physics 2012-10-19 Michael A. Hohensee , David F. Phillips , Ronald L. Walsworth

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…

Quantum Physics · Physics 2018-09-26 M. Blasone , E. Celeghini , P. Jizba , F. Scardigli , G. Vitiello

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…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J-P. Gazeau , J. Renaud , M. V. Takook

The theory of gauge-fixed Maxwell equations in linear isotropic dielectrics is developed using a generalisation of the standard $R_\xi$ gauge-fixing term. In static space-times, the theory can be quantised using the Gupta-Bleuler method,…

Quantum Physics · Physics 2023-12-05 Thomas Mieling

The anti-BRST transformation, in its Sp(2)-symmetric version, for the general case of any stage-reducible gauge theories is implemented in the usual BV approach. This task is accomplished not by duplicating the gauge symmetries but rather…

High Energy Physics - Theory · Physics 2014-11-18 Liviu Tatar , Radu Tatar

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…

Mathematical Physics · Physics 2011-10-25 Simone Zerella

The manifestation of entanglement within geometric phase is elucidated for spatially-structured bi-photons. Entanglement parameters are shown to influence holonomy in two distinct ways: through statistical superpositions of separable…

Quantum Physics · Physics 2024-10-21 Mark T. Lusk

We present in this paper how the single-photon wave function for transversal photons (with the direct sum of ordinary unitary representations of helicity 1 and -1 acting on it) is subsumed within the formalism of Gupta-Bleuler for the…

Mathematical Physics · Physics 2018-10-16 Jaroslaw Wawrzycki

Identification, and subsequent quantification of quantum correlations, is critical for understanding, controlling, and engineering quantum devices and processes. We derive and implement a general method to quantify various forms of quantum…

Quantum Physics · Physics 2023-02-09 Artur Barasinski , Jan Perina , Antonin Cernoch

In this article we consider quantum phase space reduction when zero is a regular value of the momentum map. By analogy with the classical case we define the BRST cohomology in the framework of deformation quantization. We compute the…

Quantum Algebra · Mathematics 2014-11-18 Martin Bordemann , Hans-Christian Herbig , Stefan Waldmann

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

Mathematical Physics · Physics 2007-05-23 H. Gottschalk
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