48 research outputs found
Bottom Quark Mass from Sum Rules to
We use the approximation of the heavy-quark vacuum
polarization function in the threshold region to determine the bottom quark
mass from nonrelativistic sum rules. We find very good stability and
convergence of the perturbative series for the bottom quark mass in
renormalization scheme. Our final result is
.Comment: 23 pages, 6 figures, journal versio
Three-loop quark form factor at high energy: the leading mass corrections
We compute the leading mass corrections to the high-energy behavior of the
massive quark vector form factor to three loops in QCD in the
double-logarithmic approximation.Comment: 9 pages, 10 figures, LaTe
Zero Modes of Fermions Trapped by Giant Vortices
Zero-energy solutions of the Dirac equation for the fermions bound to giant
vortices of large winding number are studied in the abelian Higgs and
Chern-Simons Higgs models. The case of Jackiw-Rossi theory of the Majorana
states in topological superconductors is discussed in detail. By expanding in
inverse powers of we find an analytic result for asymptotically all
solutions required by the index theorem. In the abelian Higgs model the zero
modes fill the vortex core and reveal a universal structure independent of fine
details of the gauge and scalar field interactions which, in particular,
determines the general properties of the large- superconducting cosmic
strings. On the contrary, for the Chern-Simons Higgs vortices the zero modes
are localized on the core boundary and the explicit solution is obtained for
the supersymmetric couplings in a self-dual background.Comment: 15 pages, 2 figure
Oscillating Fields, Emergent Gravity and Particle Traps
We study the large-scale dynamics of charged particles in a rapidly
oscillating field and formulate its classical and quantum effective theory
description. The high-order perturbative results for the effective action are
presented. Remarkably, the action models the effects of general relativity on
the motion of nonrelativistic particles, with the values of the emergent
curvature and speed of light determined by the field spatial distribution and
frequency. Our results can be applied to a wide range of physical problems
including the high-precision analysis and design of the charged particle traps
and Floquet quantum materials.Comment: 5 pages, 2 figures, a few typos correcte
Quantum Hall Effect in Quantum Electrodynamics
We consider the quantum Hall effect in quantum electrodynamics and find a
deviation from the quantum mechanical prediction for the Hall conductivity due
to radiative antiscreening of electric charge in an external magnetic field. A
weak universal dependence of the von Klitzing constant on the magnetic field
strength, which can possibly be observed in a dedicated experiment, is
predicted.Comment: 4 pages, 2 figures, LaTeX, perturbative result correcte