409 research outputs found
Optimal Renormalization-Group Improvement of Two Radiatively-Broken Gauge Theories
In the absence of a tree-level scalar-field mass, renormalization-group (RG)
methods permit the explicit summation of leading-logarithm contributions to all
orders of the perturbative series for the effective-potential functions
utilized in radiative symmetry breaking. For scalar-field electrodynamics, such
a summation of leading logarithm contributions leads to upper bounds on the
magnitudes of both gauge and scalar-field coupling constants, and suggests the
possibility of an additional phase of spontaneous symmetry breaking
characterized by a scalar-field mass comparable to that of the theory's gauge
boson. For radiatively-broken electroweak symmetry, the all-orders summation of
leading logarithm terms involving the dominant three couplings (quartic
scalar-field, t-quark Yukawa, and QCD) contributing to standard-model radiative
corrections leads to an RG-improved potential characterized by a 216 GeV Higgs
boson mass. Upon incorporation of electroweak gauge couplants we find that the
predicted Higgs mass increases to 218 GeV. The potential is also characterized
by a quartic scalar-field coupling over five times larger than that anticipated
for an equivalent Higgs mass obtained via conventional spontaneous symmetry
breaking, leading to a concomitant enhancement of processes (such as ) sensitive to this coupling. Moreover, if the QCD coupling constant is
taken to be sufficiently strong, the tree potential's local minimum at is shown to be restored for the summation of leading logarithm corrections.
Thus if QCD exhibits a two-phase structure similar to that of
supersymmetric Yang-Mills theory, the weaker asymptotically-free phase of QCD
may be selected by the large logarithm behaviour of the RG-improved effective
potential for radiatively broken electroweak symmetry.Comment: latex2e using amsmath, 36 pages, 7 eps figures embedded in latex.
Section 8.3 errors asociated with electroweak coupling effects are correcte
Murchison Widefield Array rapid-response observations of the short GRB 180805A
Abstract
Here we present stringent low-frequency (185 MHz) limits on coherent radio emission associated with a short-duration gamma-ray burst (SGRB). Our observations of the short gamma-ray burst (GRB) 180805A were taken with the upgraded Murchison Widefield Array (MWA) rapid-response system, which triggered within 20s of receiving the transient alert from the Swift Burst Alert Telescope, corresponding to 83.7 s post-burst. The SGRB was observed for a total of 30 min, resulting in a
persistent flux density upper limit of 40.2 mJy beam–1. Transient searches were conducted at the Swift position of this GRB on 0.5 s, 5 s, 30 s and 2 min timescales, resulting in
limits of 570–1 830, 270–630, 200–420, and 100–200 mJy beam–1, respectively. We also performed a dedispersion search for prompt signals at the position of the SGRB with a temporal and spectral resolution of 0.5 s and 1.28 MHz, respectively, resulting in a
fluence upper-limit range from 570 Jy ms at DM
pc cm–3 (
) to 1 750 Jy ms at DM
pc cm–3 (
, corresponding to the known redshift range of SGRBs. We compare the fluence prompt emission limit and the persistent upper limit to SGRB coherent emission models assuming the merger resulted in a stable magnetar remnant. Our observations were not sensitive enough to detect prompt emission associated with the alignment of magnetic fields of a binary neutron star just prior to the merger, from the interaction between the relativistic jet and the interstellar medium (ISM) or persistent pulsar-like emission from the spin-down of the magnetar. However, in the case of a more powerful SGRB (a gamma-ray fluence an order of magnitude higher than GRB 180805A and/or a brighter X-ray counterpart), our MWA observations may be sensitive enough to detect coherent radio emission from the jet-ISM interaction and/or the magnetar remnant. Finally, we demonstrate that of all current low- frequency radio telescopes, only the MWA has the sensitivity and response times capable of probing prompt emission models associated with the initial SGRB merger event.</jats:p
Dimensional Crossover of Localisation and Delocalisation in a Quantum Hall Bar
The 2-- to 1--dimensional crossover of the localisation length of electrons
confined to a disordered quantum wire of finite width is studied in a
model of electrons moving in the potential of uncorrelated impurities. An
analytical formula for the localisation length is derived, describing the
dimensional crossover as function of width , conductance and
perpendicular magnetic field . On the basis of these results, the scaling
analysis of the quantum Hall effect in high Landau levels, and the
delocalisation transition in a quantum Hall wire are reconsidered.Comment: 12 pages, 7 figure
Bosonic Excitations in Random Media
We consider classical normal modes and non-interacting bosonic excitations in
disordered systems. We emphasise generic aspects of such problems and parallels
with disordered, non-interacting systems of fermions, and discuss in particular
the relevance for bosonic excitations of symmetry classes known in the
fermionic context. We also stress important differences between bosonic and
fermionic problems. One of these follows from the fact that ground state
stability of a system requires all bosonic excitation energy levels to be
positive, while stability in systems of non-interacting fermions is ensured by
the exclusion principle, whatever the single-particle energies. As a
consequence, simple models of uncorrelated disorder are less useful for bosonic
systems than for fermionic ones, and it is generally important to study the
excitation spectrum in conjunction with the problem of constructing a
disorder-dependent ground state: we show how a mapping to an operator with
chiral symmetry provides a useful tool for doing this. A second difference
involves the distinction for bosonic systems between excitations which are
Goldstone modes and those which are not. In the case of Goldstone modes we
review established results illustrating the fact that disorder decouples from
excitations in the low frequency limit, above a critical dimension , which
in different circumstances takes the values and . For bosonic
excitations which are not Goldstone modes, we argue that an excitation density
varying with frequency as is a universal
feature in systems with ground states that depend on the disorder realisation.
We illustrate our conclusions with extensive analytical and some numerical
calculations for a variety of models in one dimension
Limits on Fast Radio Bursts and other transient sources at 182 MHz using the Murchison Widefield Array
The Murchison Widefield Array Transients Survey (MWATS):A search for low-frequency variability in a bright Southern hemisphere sample
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