8,750 research outputs found
Exact Cosmological Solutions of Theories via Hojman Symmetry
Nowadays, theory has been one of the leading modified gravity theories
to explain the current accelerated expansion of the universe, without invoking
dark energy. It is of interest to find the exact cosmological solutions of
theories. Besides other methods, symmetry has been proved as a powerful
tool to find exact solutions. On the other hand, symmetry might hint the deep
physical structure of a theory, and hence considering symmetry is also well
motivated. As is well known, Noether symmetry has been extensively used in
physics. Recently, the so-called Hojman symmetry was also considered in the
literature. Hojman symmetry directly deals with the equations of motion, rather
than Lagrangian or Hamiltonian, unlike Noether symmetry. In this work, we
consider Hojman symmetry in theories in both the metric and Palatini
formalisms, and find the corresponding exact cosmological solutions of
theories via Hojman symmetry. There exist some new solutions significantly
different from the ones obtained by using Noether symmetry in theories.
To our knowledge, they also have not been found previously in the literature.
This work confirms that Hojman symmetry can bring new features to cosmology and
gravity theories.Comment: 16 pages, revtex4; v2: discussions added, Nucl. Phys. B in press; v3:
published version. arXiv admin note: text overlap with arXiv:1505.0754
Criticality in Translation-Invariant Parafermion Chains
In this work we numerically study critical phases in translation-invariant
parafermion chains with both nearest- and next-nearest-neighbor
hopping terms. The model can be mapped to a spin model with
nearest-neighbor couplings via a generalized Jordan-Wigner transformation and
translation invariance ensures that the spin model is always self-dual. We
first study the low-energy spectrum of chains with only nearest-neighbor
coupling, which are mapped onto standard self-dual clock models.
For we match the numerical results to the known conformal field
theory(CFT) identification. We then analyze in detail the phase diagram of a
chain with both nearest and next-nearest neighbor hopping and six
critical phases with central charges being , 1 or 2 are found. We find
continuous phase transitions between and phases, while the phase
transition between and is conjectured to be of
Kosterlitz-Thouless type.Comment: published versio
Damage detection of gusset plate condtion in truss bridges based on wavelet packet energy percentage
This paper investigates the possibility and effectiveness of using a recently developed relative displacement sensor for the damage detection of gusset plate conditions in steel truss bridges. The developed sensor is an innovative design offering some advantages and unique features, and is a much easier and cheaper method of structural health monitoring due to the simplicity of its direct measurement of relative displacement without the need for a stable reference point. To investigate the potential applications of the developed sensor to the damage detection of joint conditions, a steel truss bridge model is fabricated in the laboratory and installed with the developed sensors to detect the loosen bolt damage in the gusset plates by using measured relative displacements. Those measured relative displacement measurements from the free vibration tests of both the undamaged and damaged truss models are analyzed, and a damage index based on the wavelet packet energy percentage change is used to detect the existence of the loosen bolt damage in steel truss bridges. Experimental studies demonstrate that the developed relative displacement sensor has a sensitive performance to indicate the joint conditions in steel truss bridges
Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
We perform a systematic investigation on the hexagon-singlet solid (HSS)
states, which are a class of spin liquid candidates for the spin-1 kagome
antiferromagnet. With the Schwinger boson representation, we show that all HSS
states have exponentially decaying correlations and can be interpreted as a
(special) subset of the resonating Affleck-Kennedy-Lieb-Tasaki (AKLT) loop
states. We provide a compact tensor network representation of the HSS states,
with which we are able to calculate physical observables efficiently. We find
that the HSS states have vanishing topological entanglement entropy, suggesting
the absence of intrinsic topological order. We also employ the HSS states to
perform a variational study of the spin-1 kagome Heisenberg antiferromagnetic
model. When we use a restricted HSS ansatz preserving lattice symmetry, the
best variational energy per site is found to be . In contrast,
when allowing lattice symmetry breaking, we find a trimerized simplex valence
bond crystal with a lower energy, .Comment: 14 pages, 12 figures, published versio
Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids
One of the most important tasks in high energy physics is search for the
exotic states, such as glueball, hybrid and multi-quark states. The transitions
and attract
great attentions because they may reveal characteristics of hybrids. In this
work, we analyze those transition modes in terms of the theoretical framework
established by Yan and Kuang. It is interesting to notice that the intermediate
states between the two gluon-emissions are hybrids, therefore by fitting the
data, we are able to determine the mass spectra of hybrids. The ground hybrid
states are predicted as 4.23 GeV (for charmonium) and 10.79 GeV (for bottonium)
which do not correspond to any states measured in recent experiments, thus it
may imply that very possibly, hybrids mix with regular quarkonia to constitute
physical states. Comprehensive comparisons of the potentials for hybrids whose
parameters are obtained in this scenario with the lattice results are
presented.Comment: 16 pages, 2 figur
Discovery and Identification of W' and Z' in SU(2) x SU(2) x U(1) Models at the LHC
We explore the discovery potential of W' and Z' boson searches for various
SU(2) x SU(2) x U(1) models at the Large Hadron Collider (LHC), after taking
into account the constraints from low energy precision measurements and direct
searches at both the Tevatron (1.96 TeV) and the LHC (7 TeV). In such models,
the W' and Z' bosons emerge after the electroweak symmetry is spontaneously
broken. Two patterns of the symmetry breaking are considered in this work: one
is SU(2)_L x SU(2)_2 x U(1)_X to SU(2)_L x U(1)_Y (BP-I), another is SU(2)_1 x
SU(2)_2 x U(1)_Y to SU(2)_L x U(1)_Y (BP-II). Examining the single production
channel of W' and Z' with their subsequent leptonic decays, we find that the
probability of detecting W' and Z' bosons in the considered models at the LHC
(with 14 TeV) is highly limited by the low energy precision data constraints.
We show that observing Z' alone, without seeing a W', does not rule out new
physics models with non-Abelian gauge extension, such as the phobic models in
BP-I. Models in BP-II would predict the discovery of degenerate W' and Z'
bosons at the LHC.Comment: 29 pages, including 11 figures, 3 tables, added references for
introductio
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