4,806 research outputs found
A remark on zeta functions of finite graphs via quantum walks
From the viewpoint of quantum walks, the Ihara zeta function of a finite
graph can be said to be closely related to its evolution matrix. In this note
we introduce another kind of zeta function of a graph, which is closely related
to, as to say, the square of the evolution matrix of a quantum walk. Then we
give to such a function two types of determinant expressions and derive from it
some geometric properties of a finite graph. As an application, we illustrate
the distribution of poles of this function comparing with those of the usual
Ihara zeta function.Comment: 14 pages, 1 figur
Group Averaging for de Sitter free fields
Perturbative gravity about global de Sitter space is subject to
linearization-stability constraints. Such constraints imply that quantum states
of matter fields couple consistently to gravity {\it only} if the matter state
has vanishing de Sitter charges; i.e., only if the state is invariant under the
symmetries of de Sitter space. As noted by Higuchi, the usual Fock spaces for
matter fields contain no de Sitter-invariant states except the vacuum, though a
new Hilbert space of de Sitter invariant states can be constructed via
so-called group-averaging techniques. We study this construction for free
scalar fields of arbitrary positive mass in any dimension, and for linear
vector and tensor gauge fields in any dimension. Our main result is to show in
each case that group averaging converges for states containing a sufficient
number of particles. We consider general -particle states with smooth
wavefunctions, though we obtain somewhat stronger results when the
wavefunctions are finite linear combinations of de Sitter harmonics. Along the
way we obtain explicit expressions for general boost matrix elements in a
familiar basis.Comment: 33 pages, 2 figure
Decay of the free-theory vacuum of scalar field theory in de Sitter spacetime in the interaction picture
A free-theory vacuum state of an interacting field theory, e.g. quantum
gravity, is unstable at tree level in general due to spontaneous emission of
Fock-space particles in any spacetime with no global timelike Killing vectors,
such as de Sitter spacetime, in the interaction picture. As an example, the
rate of spontaneous emission of Fock-space particles is calculated in phi^4
theory in de Sitter spacetime. It is possible that this apparent spontaneous
emission does not correspond to any physical processes because the states are
not evolved by the true Hamiltonian in the interaction picture. Nevertheless,
the constant spontaneous emission of Fock-space particles in the interaction
picture clearly demonstrates that the in- and out-vacuum states are orthogonal
to each other as emphasized by Polyakov and that the in-out perturbation
theory, which presupposes some overlap between these two vacuum states, is
inadequate. Other possible implications of apparent vacuum instability of this
kind in the interaction picture are also discussed.Comment: title changed, 7 page
Transmission of Systemic AA Amyloidosis in Animals
Amyloidoses are a group of protein-misfolding disorders that are characterized by the deposition of amyloid fibrils in organs and/or tissues. In reactive amyloid A (AA) amyloidosis, serum AA (SAA) protein forms deposits in mice, domestic and wild animals, and humans that experience chronic inflammation. AA amyloid fibrils are abnormal beta-sheet-rich forms of the serum precursor SAA, with conformational changes that promote fibril formation. Extracellular deposition of amyloid fibrils causes disease in affected animals. Recent findings suggest that AA amyloidosis could be transmissible. Similar to the pathogenesis of transmissible prion diseases, amyloid fibrils induce a seeding-nucleation process that may lead to development of AA amyloidosis. We review studies of possible transmission in bovine, avian, mouse, and cheetah AA amyloidosis.ArticleVETERINARY PATHOLOGY. 51(2):363-371 (2014)journal articl
Low-energy sector quantization of a massless scalar field outside a Reissner-Nordstrom black hole and static sources
We quantize the low-energy sector of a massless scalar field in the
Reissner-Nordstrom spacetime. This allows the analysis of processes involving
soft scalar particles occurring outside charged black holes. In particular, we
compute the response of a static scalar source interacting with Hawking
radiation using the Unruh (and the Hartle-Hawking) vacuum. This response is
compared with the one obtained when the source is uniformly accelerated in the
usual vacuum of the Minkowski spacetime with the same proper acceleration. We
show that both responses are in general different in opposition to the result
obtained when the Reissner-Nordstrom black hole is replaced by a Schwarzschild
one. The conceptual relevance of this result is commented.Comment: 12 pages (REVTEX), no figure
Large-distance behaviour of the graviton two-point function in de Sitter spacetime
It is known that the graviton two-point function for the de Sitter invariant
"Euclidean" vacuum in a physical gauge grows logarithmically with distance in
spatially-flat de Sitter spacetime. We show that this logarithmic behaviour is
a gauge artifact by explicitly demonstrating that the same behaviour can be
reproduced by a pure-gauge two-point function.Comment: 19 pages, no figures, misprints and minor errors correcte
On the scalar sector of the covariant graviton two-point function in de Sitter spacetime
We examine the scalar sector of the covariant graviton two-point function in
de Sitter spacetime. This sector consists of the pure-trace part and another
part described by a scalar field. We show that it does not contribute to
two-point functions of gauge-invariant quantities. We also demonstrate that the
long-distance growth present in some gauges is absent in this sector for a wide
range of gauge parameters.Comment: 15 pages, no figures, LaTeX, considerably shortene
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