1,720,986 research outputs found
Generalized uncertainty principle and asymptotically safe gravity
No full textWe present a procedure to link the deformation parameter \beta of the generalized uncertainty principle (GUP) to the two free parameters \omega and \gamma of the running Newtonian coupling constant of the asymptotically safe gravity program. To this aim, we compute the Hawking temperature of a black hole in two different ways. The first way involves the use of the GUP in place of the Heisenberg uncertainty relations, and therefore we get a deformed Hawking temperature containing the parameter \beta
. The second way involves the deformation of the Schwarzschild metric due to the Newtonian coupling constant running according to the asymptotically safe gravity prescription. The comparison of the two techniques yields a relation between
\beta and \omega, \gamma. As a particular case, we discuss also the so-called \zeta -model. The relations between \beta and ̃ omega, \zeta allow us to transfer upper bounds from one parameter to the others
Gravitational tests of the generalized uncertainty principle
Full text linkWe compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a generalized uncertainty principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the metric. Using this modified Schwarzschild metric, we compute corrections to the standard general relativistic predictions for the light deflection and perihelion precession, both for planets in the solar system and for binary pulsars. This analysis allows us to set bounds for the GUP deformation parameter from well-known astronomical measurements
On the canonical quantization of the electromagnetic field and the emergence of gauge invariance
No full textIn 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 for the longitudinal and the scalar photon fields. As a result we obtain that the relation holds which in the traditional approach is called the Gupta-Bleuler condition. Gauge invariance emerges as a property of the physical states. The group structure of the theory is recognized to be the one of SU(2)⊗SU(1, 1)
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