9,204 research outputs found
Dynamical study of the hyperextended scalar-tensor theory in the empty Bianchi type I model
The dynamics of the hyperextended scalar-tensor theory in the empty Bianchi
type I model is investigated. We describe a method giving the sign of the first
and second derivatives of the metric functions whatever the coupling function.
Hence, we can predict if a theory gives birth to expanding, contracting,
bouncing or inflationary cosmology. The dynamics of a string inspired theory
without antisymetric field strength is analysed. Some exact solutions are
found.Comment: 18 pages, 3 figure
Pressure Evolution of the Ferromagnetic and Field Re-entrant Superconductivity in URhGe
Fine pressure () and magnetic field () tuning on the ferromagnetic
superconductor URhGe are reported in order to clarify the interplay between the
mass enhancement, low field superconductivity (SC) and field reentrant
superconductivity (RSC) by electrical resistivity measurements. With increasing
, the transition temperature and the upper critical field of the low field
SC decrease slightly, while the RSC dome drastically shifts to higher fields
and shrinks. The spin reorientation field also increases. At a
pressure GPa, the RSC has collapsed while the low field SC persists
and may disappear only above 4 GPa. Via careful studies of the
inelastic resistivity term, it is demonstrated that this drastic change
is directly related with the dependence of the effective mass which
determines the critical field of the low field SC and RSC on the basis of
triplet SC without Pauli limiting field.Comment: 5 pages, 6 figures, to appear in Journal of the Physical Society of
Japa
Topology Change and Causal Continuity
The result that, for a scalar quantum field propagating on a ``trousers''
topology in 1+1 dimensions, the crotch singularity is a source for an infinite
burst of energy has been used to argue against the occurrence of topology
change in quantum gravity. We draw attention to a conjecture due to Sorkin that
it may be the particular type of topology change involved in the trousers
transition that is problematic and that other topology changes may not cause
the same difficulties. The conjecture links the singular behaviour to the
existence of ``causal discontinuities'' in the spacetime and relies on a
classification of topology changes using Morse theory. We investigate various
topology changing transitions, including the pair production of black holes and
of topological geons, in the light of these ideas.Comment: Latex, 28 pages, 10 figures, small changes in text (one figure
removed), conclusions remain unchanged. Accepted for publication in Physical
Review
Notes on Euclidean Wilson loops and Riemann Theta functions
The AdS/CFT correspondence relates Wilson loops in N=4 SYM theory to minimal
area surfaces in AdS5 space. In this paper we consider the case of Euclidean
flat Wilson loops which are related to minimal area surfaces in Euclidean AdS3
space. Using known mathematical results for such minimal area surfaces we
describe an infinite parameter family of analytic solutions for closed Wilson
loops. The solutions are given in terms of Riemann theta functions and the
validity of the equations of motion is proven based on the trisecant identity.
The world-sheet has the topology of a disk and the renormalized area is written
as a finite, one-dimensional contour integral over the world-sheet boundary. An
example is discussed in detail with plots of the corresponding surfaces.
Further, for each Wilson loops we explicitly construct a one parameter family
of deformations that preserve the area. The parameter is the so called spectral
parameter. Finally, for genus three we find a map between these Wilson loops
and closed curves inside the Riemann surface.Comment: 35 pages, 7 figures, pdflatex. V2: References added. Typos corrected.
Some points clarifie
Simulating causal collapse models
We present simulations of causal dynamical collapse models of field theories
on a 1+1 null lattice. We use our simulations to compare and contrast two
possible interpretations of the models, one in which the field values are real
and the other in which the state vector is real. We suggest that a procedure of
coarse graining and renormalising the fundamental field can overcome its
noisiness and argue that this coarse grained renormalised field will show
interesting structure if the state vector does on the coarse grained scale.Comment: 18 pages, 8 fugures, LaTeX, Reference added, discussion of
probability distribution of labellings correcte
High-Field Superconductivity at an Electronic Topological Transition in URhGe
The emergence of superconductivity at high magnetic fields in URhGe is
regarded as a paradigm for new state formation approaching a quantum critical
point. Until now, a divergence of the quasiparticle mass at the metamagnetic
transition was considered essential for superconductivity to survive at
magnetic fields above 30 tesla. Here we report the observation of quantum
oscillations in URhGe revealing a tiny pocket of heavy quasiparticles that
shrinks continuously with increasing magnetic field, and finally disappears at
a topological Fermi surface transition close to or at the metamagnetic field.
The quasiparticle mass decreases and remains finite, implying that the Fermi
velocity vanishes due to the collapse of the Fermi wavevector. This offers a
novel explanation for the re-emergence of superconductivity at extreme magnetic
fields and makes URhGe the first proven example of a material where magnetic
field-tuning of the Fermi surface, rather than quantum criticality alone,
governs quantum phase formation.Comment: A revised version has been accepted for publication in Nature Physic
The Status of the Wave Function in Dynamical Collapse Models
The idea that in dynamical wave function collapse models the wave function is
superfluous is investigated. Evidence is presented for the conjecture that, in
a model of a field theory on a 1+1 lightcone lattice, knowing the field
configuration on the lattice back to some time in the past, allows the wave
function or quantum state at the present moment to be calculated, to arbitrary
accuracy so long as enough of the past field configuration is known.Comment: 35 pages, 11 figures, LaTex, corrected typos, some modifications
made. to appear in Found. of Phys. Lett. Vol. 18, Nbr 6, Nov 2005, 499-51
The Random Discrete Action for 2-Dimensional Spacetime
A one-parameter family of random variables, called the Discrete Action, is
defined for a 2-dimensional Lorentzian spacetime of finite volume. The single
parameter is a discreteness scale. The expectation value of this Discrete
Action is calculated for various regions of 2D Minkowski spacetime. When a
causally convex region of 2D Minkowski spacetime is divided into subregions
using null lines the mean of the Discrete Action is equal to the alternating
sum of the numbers of vertices, edges and faces of the null tiling, up to
corrections that tend to zero as the discreteness scale is taken to zero. This
result is used to predict that the mean of the Discrete Action of the flat
Lorentzian cylinder is zero up to corrections, which is verified. The
``topological'' character of the Discrete Action breaks down for causally
convex regions of the flat trousers spacetime that contain the singularity and
for non-causally convex rectangles.Comment: 20 pages, 10 figures, Typos correcte
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