123040657
Two-extended Toda fields in three dimensions
Two-extended Toda fields associated with Saveliev-Vershik's continuum Lie algebras are studied. Such fields satisfy three-dimensional (integro-)differential equations. Structures such as the fundamental Poisson relation, classical Yang-Baxter equation, chiral exchange algebra and dressing transformations are recovered, which are in complete analogy to the two-dimensional case. The formal solution is also considered using Leznov-Saveliev analysis, but this does not lead to explicit solutions because we have insufficient knowledge about the highest-weight representations of the continuum Lie algebras.
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.
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.
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.
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.
118558493
A coherent method for the detection and parameter estimation of continuous gravitational wave signals using a pulsar timing array
The use of a high precision pulsar timing array is a promising approach to detecting gravitational waves in the very low frequency regime (10{sup –6}-10{sup –9} Hz) that is complementary to ground-based efforts (e.g., LIGO, Virgo) at high frequencies (∼10-10{sup 3} Hz) and space-based ones (e.g., LISA) at low frequencies (10{sup –4}-10{sup –1} Hz). One of the target sources for pulsar timing arrays is individual supermassive black hole binaries which are expected to form in galactic mergers. In this paper, a likelihood-based method for detection and parameter estimation is presented for a monochromatic continuous gravitational wave signal emitted by such a source. The so-called pulsar terms in the signal that arise due to the breakdown of the long-wavelength approximation are explicitly taken into account in this method. In addition, the method accounts for equality and inequality constraints involved in the semi-analytical maximization of the likelihood over a subset of the parameters. The remaining parameters are maximized over numerically using Particle Swarm Optimization. Thus, the method presented here solves the monochromatic continuous wave detection and parameter estimation problem without invoking some of the approximations that have been used in earlier studies.
17067286
Hard Photodisintegration of a Proton Pair
We present the first study of high energy photodisintegration of proton-pairs through the gamma + 3He -> p+p+n channel. Photon energies from 0.8 to 4.7 GeV were used in kinematics corresponding to a proton pair with high relative momentum and a neutron nearly at rest. An s^{-11} scaling of the cross section was observed, as predicted by the constituent counting rule. The onset of the scaling is at a higher energy and the cross section is significantly lower then for pn pair photodisintegration. For photon energies below the scaling region, the scaled cross section was found to present a strong energy-dependent structure not observed in deuteron photodisintegration.
121916723
OPERATOR FORMS OF THE CLASSICAL YANG–BAXTER EQUATION IN LIE SUPERALGEBRAS
In this paper, we study the operator forms of the classical Yang–Baxter equation (CYBE) in Lie superalgebras. We introduce the notion of super -operators and give their relationship with the (standard) tensor form. There are close relationships between the CYBE in Lie superalgebras and left-symmetric superalgebras which can be interpreted through the super -operators. In particular, there are natural and explicit solutions of the CYBE in Lie superalgebras constructed from left-symmetric superalgebras.
109275452
Signal coupling and signal integrity in multi-strip resistive plate chambers used for timing applications
Abstract We have systematically studied the transmission of electrical signals along several 2-strip Resistive Plate Chambers (RPCs) in the frequency range f = 0.1 − 3.5 GHz . Such a range was chosen to fully cover the bandwidth associated to the very short rise-times of signals originated in RPCs used for sub-100 ps timing applications. This work conveys experimental evidence of the dominant role of modal dispersion in counters built at the 1 m scale, a fact that results in large cross-talk levels and strong signal shaping. It is shown that modal dispersion appears in RPCs due to their inherent unbalance between capacitive and inductive coupling. A practical way to restore this symmetry has been introduced (hereafter ‘electrostatic compensation’), allowing for a cross-talk suppression factor up to × 12 and a rise-time reduction by 200 ps. Under conditions of compensation the signal transmission is only limited by dielectric losses, yielding a length-dependent cutoff frequency of around 1 GHz for propagation along 2 m in typical float glass-based RPCs. It is further shown that ‘electrostatic compensation’ can be achieved for an arbitrary number of strips as long as the nature of the coupling is ‘short-range’, that is an almost exact assumption for typical strip-line RPCs. This work extends the bandwidth of previous studies by a factor of×20.
15131624
First-order attractor flow equations for supersymmetric black rings in N = 2, D = 5 supergravity
In this paper we investigate the attractor mechanism in the five dimensional low energy supergravity theory corresponding to M-theory compactified on a Calabi-Yau threefold CY3. Using very special geometry, we derive the general first-order attractor flow equations for BPS and non-BPS solutions in five-dimensional Gibbons-Hawking spaces. Especially, considering the supersymmetric solution, we obtain the first-order flow equations for supersymmetric (multi)black rings. We also solve the flow equations and discuss some properties of the solutions of flow equations.