97,393 research outputs found
Magnetic helicity evolution in a neutron star accounting for the Adler-Bell-Jackiw anomaly
We analyze the role of the surface terms in the conservation law for the sum
of the magnetic helicity density and the chiral imbalance of the charged
particle densities. These terms are neglected in the Anomalous
MagnetoHydroDynamics (AMHD), where infinite volume is considered typically. We
discuss a finite volume system, such as a magnetized neutron star (NS), and
study the contribution of the surface terms to the evolution of the magnetic
helicity. Accounting for the fast washing out of the chiral imbalance in a
nascent NS, we demonstrate that the surface terms contribution can potentially
lead to the reconnection of magnetic field lines and subsequent gamma or X-ray
bursts observed from magnetars. We derive the additional surface terms
originated by the mean spin flux through a volume boundary arising due to
macroscopic spin effects in electron-positron plasma. Then, comparing this
quantum surface term with the classical one known in standard MHD, we find that
the new quantum contribution prevails over classical term for the rigid NS
rotation only.Comment: 16 pages in pdflatex, 1 pdf figure, jcap latex style; paper was
significantly revised, Sec. 3 was extended, some notations were improved;
version published in JCA
Thread extraction for polyadic instruction sequences
In this paper, we study the phenomenon that instruction sequences are split
into fragments which somehow produce a joint behaviour. In order to bring this
phenomenon better into the picture, we formalize a simple mechanism by which
several instruction sequence fragments can produce a joint behaviour. We also
show that, even in the case of this simple mechanism, it is a non-trivial
matter to explain by means of a translation into a single instruction sequence
what takes place on execution of a collection of instruction sequence
fragments.Comment: 21 pages; error corrected; presentation improve
On algorithmic equivalence of instruction sequences for computing bit string functions
Every partial function from bit strings of a given length to bit strings of a
possibly different given length can be computed by a finite instruction
sequence that contains only instructions to set and get the content of Boolean
registers, forward jump instructions, and a termination instruction. We look
for an equivalence relation on instruction sequences of this kind that captures
to a reasonable degree the intuitive notion that two instruction sequences
express the same algorithm.Comment: 27 pages, the preliminaries have textual overlaps with the
preliminaries in arXiv:1308.0219 [cs.PL], arXiv:1312.1529 [cs.PL], and
arXiv:1312.1812 [cs.PL]; 27 pages, three paragraphs about Milner's
algorithmic equivalence hypothesis added to concluding remarks; 26 pages,
several minor improvements of the presentation mad
Deformation quantization on a Hilbert space
We study deformation quantization on an infinite-dimensional Hilbert space
endowed with its canonical Poisson structure. The standard example of the
Moyal star-product is made explicit and it is shown that it is well defined on
a subalgebra of . A classification of inequivalent deformation
quantizations of exponential type, containing the Moyal and normal
star-products, is also given
Form factor approach to diagonal finite volume matrix elements in Integrable QFT
We derive an exact formula for finite volume excited state mean values of
local operators in 1+1 dimensional Integrable QFT with diagonal scattering. Our
result is a non-trivial generalization of the LeClair-Mussardo series, which is
a form factor expansion for finite size ground state mean values.Comment: 29 page
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