On the Quantization of the Electromagnetic Field with Magnetic Monopoles
- URL: http://arxiv.org/abs/2509.17284v2
- Date: Thu, 25 Sep 2025 19:45:07 GMT
- Title: On the Quantization of the Electromagnetic Field with Magnetic Monopoles
- Authors: Kanan Anwar,
- Abstract summary: We present a covariant framework for the quantization of the electromagnetic field in the presence of magnetic monopoles.<n>We predict, in addition to conventional photons, the existence of dual photons associated with magnetic charges.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 footing and reveals a $U(1) \times U(1)$ gauge symmetry, we extend the theory into the quantum domain. Using the Gupta-Bleuler procedure in the Feynman-'t Hooft gauge, we construct the physical Hilbert space and eliminate negative-norm states. The resulting theory predicts, in addition to conventional photons, the existence of dual photons associated with magnetic charges. We discuss the role of these dual excitations and their possible relevance in the broader context of electromagnetic duality and gauge theories.
Related papers
- Direct derivation of the modified Langevin noise formalism from the canonical quantization of macroscopic electromagnetism [51.56484100374058]
We derive the exact analytical expressions for the polariton operators in terms of the canonical CQME field operators.<n>We provide a direct and rigorous derivation of the Langevin noise formalism from the canonical theory in the Schrdinger picture.
arXiv Detail & Related papers (2026-03-04T17:53:31Z) - Photon-graviton polarization entanglement induced by a classical electromagnetic wave [51.56484100374058]
We study the photon-graviton pair production induced by the propagation of a classical electromagnetic wave in a Minkowskian spacetime.<n>We analyze the time evolution of the quantum state showing that, among other outcomes, the propagation of the EM wave can generate Bell states in the photon-graviton polarization basis.
arXiv Detail & Related papers (2026-01-29T21:21:00Z) - Light-induced Magnetization by Quantum Geometry [0.0]
We propose a mechanism for the inverse Faraday and the inverse Cotton--Mouton effects arising from quantum geometry.<n>Within a semiclassical framework based on the Boltzmann transport theory, we establish a general formalism describing light-induced magnetization in electronic systems.
arXiv Detail & Related papers (2026-01-14T17:13:08Z) - Waveguides in a quantum perspective [45.88028371034407]
Solid state quantum devices, operated at dilution cryostat temperatures, are relying on microwave signals to drive and read-out their quantum states.<n>Here we report on the quantum theory that describes the simplest Cartesian-type geometries: parallel plates, and rectangular tubes.
arXiv Detail & Related papers (2025-05-20T12:42:07Z) - Magnetic moments in the Poynting theorem, Maxwell equations, Dirac equation, and QED [0.0]
We show how magnetic moment effects are included in either version of electrodynamics.<n>Main focus is on magnetic dipole interactions, and magnetic monopole interactions are not considered.
arXiv Detail & Related papers (2025-01-02T18:32:45Z) - Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media.
We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
arXiv Detail & Related papers (2024-04-07T14:37:04Z) - Quantum skyrmion Hall effect [0.0]
We consider the problem of magnetic charges in $(2+1)$ dimensions for a torus geometry in real-space.
We compute the Hall conductivity associated with transport of these charges for the case of negligible gapless excitations.
We find it is proportional to an integer-valued topological invariant $mathcalQ$, corresponding to a magnetic quantum Hall effect.
arXiv Detail & Related papers (2023-05-29T21:21:38Z) - Revealing Emergent Magnetic Charge in an Antiferromagnet with Diamond
Quantum Magnetometry [42.60602838972598]
Whirling topological textures play a key role in exotic phases of magnetic materials and offer promise for logic and memory applications.
In antiferromagnets, these textures exhibit enhanced stability and faster dynamics with respect to ferromagnetic counterparts.
One technique that meets the demand of highly sensitive vectorial magnetic field sensing with negligible backaction is diamond quantum magnetometry.
arXiv Detail & Related papers (2023-03-21T18:30:20Z) - A theory of local photons with applications in quantum field theory [0.0]
In quantum optics it is usual to describe the basic energy quanta of the electromagnetic (EM) field, photons, in terms of monochromatic waves.
We take an alternative approach and quantise the free EM field in both one and three dimensions in terms of quanta that are perfectly localised.
Here we show that, unlike standard quantisation schemes, our approach predicts the causal propagation of localised photonic wave packets.
arXiv Detail & Related papers (2023-03-08T16:47:09Z) - About non-relativistic quantum mechanics and electromagnetism [0.0]
We use the mathematical frame of the field theory and its quantization in the spirit of the quantum-mechanical many-body theory.
We show some examples of the importance of this extension of the many-body theory.
arXiv Detail & Related papers (2022-07-27T05:05:27Z) - Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$
Lattice Gauge Theory [58.720142291102135]
Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics.
One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear.
We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
arXiv Detail & Related papers (2021-07-27T18:10:08Z) - Surpassing the Energy Resolution Limit with ferromagnetic torque sensors [55.41644538483948]
We evaluate the optimal magnetic field resolution taking into account the thermomechanical noise and the mechanical detection noise at the standard quantum limit.
We find that the Energy Resolution Limit (ERL), pointed out in recent literature, can be surpassed by many orders of magnitude.
arXiv Detail & Related papers (2021-04-29T15:44:12Z) - Duality Symmetry of Quantum Electrodynamics and Magnetic Charges [8.19841678851784]
duality symmetry between electricity and magnetism hidden in classical Maxwell equations.
In quantum electrodynamics (QED), both the electric and magnetic fields have been unified into one gauge field.
We show that the electric-magnetic duality symmetry cannot give any new conservation law.
arXiv Detail & Related papers (2021-03-01T13:46:45Z) - General quantum-mechanical solution for twisted electrons in a uniform
magnetic field [68.8204255655161]
A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed.
The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
arXiv Detail & Related papers (2020-05-13T16:35:10Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.