8 research outputs found
Representations of the discrete inhomogeneous Lorentz group and Dirac wave equation on the lattice
We propose the fundamental and two dimensional representation of the Lorentz
groups on a (3+1)-dimensional hypercubic lattice, from which representations of
higher dimensions can be constructed. For the unitary representation of the
discrete translation group we use the kernel of the Fourier transform. From the
Dirac representation of the Lorentz group (including reflections) we derive in
a natural way the wave equation on the lattice for spin 1/2 particles. Finally
the induced representation of the discrete inhomogeneous Lorentz group is
constructed by standard methods and its connection with the continuous case is
discussed.Comment: LaTeX, 20 pages, 1 eps figure, uses iopconf.sty (late submission
AdS/CFT and quantum-corrected brane entropy
It is shown that quantum-induced (inflationary) brane Universe occurs in the
bulk 5d AdS black hole in accordance with AdS/CFT correspondence. Brane stress
tensor is induced by quantum effects of dual CFT and brane crosses the horizon
of AdS black hole. Quantum-corrected Hubble constant, Hawking temperature and
entropy are found on the brane (and at the horizon). The similarity between CFT
entropy at the horizon and FRW equations is extended on the quantum level. This
suggests the way to understand cosmological entropy bounds in quantum gravity.Comment: LaTeX file 17 pages, discussion is extended, version to appear in CQ