119291496
A covering theory of special relativity
Abstract: Under the assumption of closed-path velocity of light invariant, we show both thegeneral expression of velocity of light in an ordinary inertial reference frame and the generalizedLorentz transformation between the ordinary inertial reference frame and the absolute privilegedreference frame. Although such assumption cannot determine theory unambiguously, somesigniﬁcant results can still be obtained by the assumption. Furthermore, the study shows that therelativity of simultaneity is not a universal concept. © 2011 Physics Essays Publication . DOI: 10.4006/1.3589801 Re´sume´: Dans l’hypothese de l’invariabilite de la vitesse de lumiere dans un chemin ferme, onobtient soit l’expression generale de la vitesse de la lumiere dans un cadre referentiel inertielordinaire, soit la transformation de Lorentz generalisee entre le cadre referentiel inertiel ordinaire etcelui-la absolue privilegie . Bien que cette hypothese ne soit pas sufﬁsante pour determiner latheorie sans ambiguite, on peut avoir quand meme certains resultats importants. En plus, l’etudemontre que la relativite de la simultaneite n’est pas un concept universel.
124325202
Solitons in non-left-right symmetric conformal integrable Toda fields
One- and two-soliton solutions in non-left-right symmetric conformal integrable Toda fields are obtained using the Hirota method.
119656646
Geometrical quantities on a fuzzy sphere
In this paper, we consider the geometrical quantities on the fuzzy sphere from the spectral point of view, such as the area and the dimension. We find that, in contract to the standard sphere, the area and the dimension are the functions of the energy scale of the fuzzy sphere.
119874623
EXCHANGE RELATIONS OF LAX PAIR FOR NONLINEAR SIGMA MODELS
We find that the non-ultralocal term s in classical Yang-Baxter r−s matrix consist of Riemann’s connections of target manifold G/H and field-independent projection operators in local coordinates on symmetric space G/H. We give the gauge transformations formula for the Poisson bracket of Lax pair and r−s matrix, and relate these expressions in terms of moving frame with that of fixed frame by current algebra.
121470985
Spectral action on a fuzzy sphere
In this paper, the spectral action for the free Dirac operator on a fuzzy 2-sphere is considered, based on the known results. We show that from the spectral point of view, the behavior of the fuzzy sphere can be divided into three regimes: the classical regime, the quasi-classical regime and the fuzzy regime. We also consider its application to quantum cosmology.
5858165
Bosonic Realization of Boundary Operators in SU(2)-invariant Thirring Model
Boundary operators and boundary states in the SU(2)-invariant Thirring model are considered from the point of view of bosonization and oscillator realizations of bulk and boundary Zamolodchikov-Faddeev algebras.
119110057
Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
A bstractWe study the holographic entanglement entropy in a homogeneous falling shell background, which is dual to the strongly coupled field theory following a global quench. For d=2 conformal field theories, it is known that the entropy has a linear growth regime if the scale of the entangling region is large. In addition, the growth rate approaches a constant when the scale increases. We demonstrate analytically that this behavior is directly related to the part of minimal area surface probing the interior of apparent horizons in the bulk, as well as the mutual information between two disjoint rectangular subsystems in the boundary. Furthermore, we show numerically that all the results are universal for the d=3 conformal field theory, the non-relativistic scale-invariant theory and the dual theory of Gauss-Bonnet gravity.
117769487
Special Theory for Superluminal Particle
The OPERA collaboration reported evidence for muonic neutrinos travelling faster than light in vacuum. In this paper, an extended relativity theory is proposed. We think all particles can be divided into three kinds: The first kind of particle is its velocity in the range of $0\leq v < c$, e.g. electron, atom, molecule and so on ($c$ is light velocity, i.e., the limit velocity of the first kind of particle). The second kind of particle is its velocity in the range of $0\leq v < c_{m1}$, e.g. photon ($c_{m1}$ is the limit velocity of the second kind of particle). The third kind of particle is its velocity in the range of $c\leq v < c_{m2}$, e.g. tachyon, and muonic neutrinos ($c_{m2}$ is the limit velocity of the third kind of particle). The first kind of particle is described by the special relativity. With the extended relativity theory, we can describe the second and third kinds particles, and can analysis the OPERA experiment results and calculate the muonic neutrinos mass.
117383845
Collective Flow of Lambda Hyperons within Covariant Kaon Dynamics
8010206
CHANDRA STUDY OF X-RAY POINT SOURCES IN THE EARLY-TYPE GALAXY NGC 4552 (M89)
We present a Chandra ACIS study of the early-type galaxy NGC 4552. We detect 47 X-ray point sources, most of which are likely low-mass X-ray binaries (LMXBs), within four effective radii (Re). The brightest X-ray source coincides with the optical, UV, and radio center of the galaxy and shows variability on >1 hr timescales, indicating the possible existence of a low-luminosity active galactic nucleus (AGN). The 46 off-center sources and the unresolved point sources contribute about 29% and 20% to the total luminosity of the galaxy, respectively. We find that after correcting for the incompleteness at the low-luminosity end, the observed cumulative X-ray luminosity function (XLF) of the off-center sources is best fitted by a broken power-law model with a break at Lb = 4.4 × 1038 ergs s-1. We identified 210 globular cluster (GC) candidates in a HST WFPC2 optical image of the galaxy's central region. Of the 25 off-center LMXBs that fall within the WFPC2 field of view, 10 sources are coincident with a GC. Thus, the fraction of the GCs hosting bright LMXBs and the fraction of the LMXBs associated with GCs are 4.8% and 40%, respectively. In the V and I bands, the GCs hosting bright LMXBs are typically 1-2 mag brighter than the GCs with no detected LMXBs. There are about 1.9 ± 0.4 times as many LMXBs in the red, metal-rich GCs as there are in the blue, metal-poor ones. We find no obvious difference between the luminosity distributions of LMXBs in GCs and in the field, but the cumulative spectrum of the LMXBs in GCs tends to be softer than that of the LMXBs in field. We detected three X-ray sources that have isotropic luminosities larger than 1039 ergs s-1. Only one of these is located in the joint Chandra-HST field and is found to be associated with a GC. By studying its ACIS spectra we infer that the this may be a candidate black hole system with a mass of 15-135 M☉. One of the other sources with a luminosity brighter than 1039 ergs s-1 reveals temporal variations in brightness on timescales greater than 1 hr.
119239060
Hidden conformal symmetry of the Kerr-Newman black hole
We investigate the hidden conformal symmetry of the 4-dimensional non-extremal Kerr-Newman (KN) black hole with the idea of the near-region Kerr/CFT correspondence proposed by Castro, Maloney and Strominger in arXiv:1004.0996[hep-th]. The near-region KN black hole is dual to a 2D CFT with left and right temperatures TL = (2M2 − Q2)/(4πJ) and $ {T_R} = {{{\sqrt {{{M^4} - {J^2} - {M^2}{Q^2}}} }} \left/ {{\left( {2\pi J} \right)}} \right.} $. Furthermore, we reproduce the microscopic entropy of the KN black hole via the Cardy formula, which is in agreement with the macroscopic Bekenstein-Hawking entropy and precisely match the absorption cross section of a near-region scalar field in the KN black hole with the finite-temperature absorption cross section for a 2D CFT.