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Lorentz invariance and quantum gravity: an additional fine-tuning problem?
Trying to combine standard quantum field theories with gravity leads to a breakdown of the usual structure of space time at around the Planck length, 1.6x10(-35) m, with possible violations ofExpand
Loop quantum gravity and light propagation
Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck scale corrections.Expand
On the inverse problem of the calculus of variations
We consider the inverse problem of the calculus of variations for any system by writing its differential equations of motion in first‐order form. We provide a way of constructing infinitely manyExpand
Quantum gravity and spin-1/2 particle effective dynamics
Quantum gravity phenomenology opens up the possibility of probing Planck scale physics. Thus, by exploiting the generic properties that a semiclassical state of the compound system fermions plusExpand
The Itzykson–Zuber integral for U(m‖n)
The Itzykson–Zuber (IZ) integral is computed for the superunitary group U(m‖n). As a consequence, the nonzero correlations of superunitary matrices can be found.
Corrections to Flat-Space Particle Dynamics Arising from Space Granularity
The construction of effective Hamiltonians describing corrections to flat space particle dynamics arising from the granularity of space at very short distances is discussed in the framework of anExpand
Zeroth-order eikonal approximation in relativistic charged-particle--magnetic-monopole scattering
The relativistic spin-1/2 charged-particle--magnetic-monopole scattering is considered in the high-energy, low-momentum-transfer limit. Under these circumstances the differential cross section isExpand
The orthogonality relations for the supergroup U(m/n)
Starting from the generalization of the Itzykson-Zuber integral for U(m/n) we study the orthogonality relations for this supergroup.
Vacuum polarization in parallel homogeneous electric and magnetic fields
The lowest-order mass operator for a real or virtual photon propagating in an arbitrary direction with respect to parallel homogeneous external electric and magnetic fields is calculated to allExpand