Low-frequency current noise with a 1/fspectrum in solids

Abstract

Studying the behaviour of null geodesics in Bonnor's rotating dust cloud solution reveals a peculiar central region. This region cannot be penetrated by null geodesics from spatial infinity. Conversely, null geodesics from within the region cannot extend to spatial infinity. There is no event horizon.

Conformal dimensions from topologically massive quantum field theory

“…1 ∆ is the transmuted spin of the charged particles due to their interaction with the ChernSimons gauge field. This latter phase factor is manifested in the Aharonov-Bohm part of the charged particle-particle scattering amplitudes in the gauge theory [22]. Based on the above correspondences, we expect the phase ∆ to be the same in the two models.…”

“…which measures the anomalous change of phase in the Aharonov-Bohm wavefunction under adiabatical rotation of one charged particle about another in the gauge theory (1.2) [22]. Thus computing the function f G (k) order by order in perturbation theory allows us to check the standard formulas for anomalous spin in the Chern-Simons field theories.…”

The Spectrum of Topologically Massive Quantum Electrodynamics

“…are the on-shell polarization vectors for the photons in the transverse Landau gauge with p · e(p) = 0 = e(p) · e(p) and e(p) · e * (p) = −1 [17]. In the center of mass frame, it is found that only the u-channel (second term) part of (12) contributes in the non-relativistic limit:…”

“…The meson-photon pair also always repel each other in P -wave, since in the relevant limits the repulsive bare four-point vertex (third term of V mγ in (18)) dominates the total meson-photon interaction (whereas in the spinor case the photon can only dress the fermions). Thus topologically massive scalar electrodynamics can not admit exotic bound states, and the spectrum of the scalar quantum field theory (17) contains precisely the same particles as the ordinary three (or four) dimensional scalar Maxwell theory does.…”

Chern-Simons states and topologically massive gauge theories

“…For an abelian theory, it is known that energy eigenstates are degenerate, with a set of ground states that are in precise one-to-one correspondence with the states of the associated pure Chern-Simons theory [3,9,10]. These degenerate states determine the "topological" features of the theory: in the spectral decomposition of the propagator, for instance, they account for the long range Aharonov-Bohm interaction that leads to fractional spin and statistics [11]. (In absence of matter fields, the degeneracy associated with the topological modes disappears in the infinite area limit, however [12].…”