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Lorentz invariance and the semiclassical approximation of loop quantum gravity

Carlos N Kozameh and Florencia Parisi

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It is shown that the field equations derived from an effective interaction Hamiltonian for Maxwell and gravitational fields in the semiclassical approximation of loop quantum gravity using rotational invariant states (such as weave states) are Lorentz invariant. To derive this result, which is in agreement with the observational evidence, we use the geometrical properties of the electromagnetic field.


PACS

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

04.25.-g Approximation methods; equations of motion

MSC

81V17 Gravitational interaction (See also 83Cxx and 83Exx)

83C50 Electromagnetic fields

83C25 Approximation procedures, weak fields

Subjects

Gravitation and cosmology

Dates

Issue 11 (7 June 2004)

Received 26 September 2003

Published 26 April 2004



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