16,560 research outputs found
Supersymmetric Spin Networks and Quantum Supergravity
We define supersymmetric spin networks, which provide a complete set of gauge
invariant states for supergravity and supersymmetric gauge theories. The
particular case of Osp(1/2) is studied in detail and applied to the
non-perturbative quantization of supergravity. The supersymmetric extension of
the area operator is defined and partly diagonalized. The spectrum is discrete
as in quantum general relativity, and the two cases could be distinguished by
measurements of quantum geometry.Comment: 21 pages, LaTex, 22 figures, typos corrected and references complete
Thermodynamics of modified black holes from gravity's rainbow
We study the thermodynamics of modified black holes proposed in the context
of gravity's rainbow. A notion of intrinsic temperature and entropy for these
black holes is introduced. In particular for a specific class of modified
Schwarzschild solutions, their temperature and entropy are obtained and
compared with those previously obtained from modified dispersion relations in
deformed special relativity. It turns out that the results of these two
different strategies coincide, and this may be viewed as a support for the
proposal of deformed equivalence principle.Comment: 3 pages, Revte
The kinematics of particles moving in rainbow spacetime
The kinematics of particles moving in rainbow spacetime is studied in this
paper. In particular the geodesics of a massive particle in rainbow flat
spacetime is obtained when the semi-classical effect of its own energy on the
background is taken into account. We show that in general the trajectory of a
freely falling particle remains unchanged which is still a straight line as in
the flat spacetime. The implication to the Unruh effect in rainbow flat
spacetime is also discussed.Comment: 5 page
Holographic Butterfly Effect and Diffusion in Quantum Critical Region
We investigate the butterfly effect and charge diffusion near the quantum
phase transition in holographic approach. We argue that their criticality is
controlled by the holographic scaling geometry with deformations induced by a
relevant operator at finite temperature. Specifically, in the quantum critical
region controlled by a single fixed point, the butterfly velocity decreases
when deviating from the critical point. While, in the non-critical region, the
behavior of the butterfly velocity depends on the specific phase at low
temperature. Moreover, in the holographic Berezinskii-Kosterlitz-Thouless
transition, the universal behavior of the butterfly velocity is absent.
Finally, the tendency of our holographic results matches with the numerical
results of Bose-Hubbard model. A comparison between our result and that in the
nonlinear sigma model is also given.Comment: 41 pages, 7 figures, minor revisions, refs adde
- …