Quantum field theory with the generalized uncertainty principle II: Quantum Electrodynamics

Bosso, Pasquale; Das, Saurya; Todorinov, Vasil

doi:10.48550/arxiv.2005.03772

Cited by 2 publications

(3 citation statements)

References 40 publications

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“…as in Refs. [31][32][33][34][35][36][37]. It should be stressed that while the aforesaid relativistic version of GUP is Lorentz covariant in flat spacetimes, it still needs to be extended to curved spacetimes.…”

Section: Discussionmentioning

confidence: 99%

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Discreteness of Space from GUP in Strong Gravitational Fields

Das,

Vagenas

2020

Preprint

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A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative corrections to all quantum mechanical Hamiltonians, even at low energies, and thereby introduces Planck scale corrections to the Schrödinger equation and to the relativistic quantum mechanical equations. Some of these corrections give rise to potentially measurable effects in the low-energy laboratory. Another prediction of these corrections is that a measured length must be quantized, as seen by studying the solutions of the GUP modified Schrödinger, Klein-Gordon, and Dirac equations in a one, two, and three dimensional box. This result was subsequently extended to spacetimes with weak gravitational fields. In this work, we further extend this length quantization to spacetimes with strong gravitational fields and show that this result continue to hold, thereby showing that it is robust.

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Section: Discussionmentioning

confidence: 99%

“…The Ricci scalar for the FLRW metric is given by R = 6 a 2 c 2 aä + ȧ2 (37) where ˙≡ d/dt. Using the Einstein's equation for FLRW metric one obtains the Friedmann equations as…”

Section: A Identification Of Strong Gravity Domain In Flrw Backgroundmentioning

confidence: 99%

Discreteness of Space from GUP in Strong Gravitational Fields

Das,

Vagenas

2020

Preprint

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“…The inclusion of an interaction, preserving the physical sector of a free theory with Dirac constraints, generally represents a non trivial task [72][73][74][75][76][77][78][79][80][81][82][83]. Here we discuss the possibility to switch on a non minimal interaction of the massless polarized particle with gravity within the Hamiltonian variational problem (21).…”

Section: Non Minimal Interaction Of Polarized Particle With Spacetime...mentioning

confidence: 99%

Massless polarized particle and Faraday rotation of light in the Schwarzschild spacetime

Deriglazov

2021

Preprint

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We present the manifestly covariant Lagrangian of a massless polarized particle, that implies all dynamic and algebraic equations as the conditions of extreme of this variational problem. The model allows for minimal interaction with a gravitational field, leading to the equations, coinciding with Maxwell equations in the geometrical optics approximation. The model allows also a wide class of non minimal interactions, which suggests an alternative way to study the electromagnetic radiation beyond the leading order of geometrical optics. As a specific example, we construct a curvaturedependent interaction in Schwarzschild spacetime, predicting the Faraday rotation of polarization plane, linearly dependent on the wave frequency. As a result, the Schwarzschild spacetime generates a kind of angular rainbow of light: waves of different frequencies, initially linearly-polarized in one direction, acquire different orientations of their polarization planes when propagate along the same ray.

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Quantum field theory with the generalized uncertainty principle II: Quantum Electrodynamics

Cited by 2 publications

References 40 publications

Discreteness of Space from GUP in Strong Gravitational Fields

Discreteness of Space from GUP in Strong Gravitational Fields

Massless polarized particle and Faraday rotation of light in the Schwarzschild spacetime

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