20487228
Theory of magnon-hole interaction for the anisotropic t-J model.
The general Holstein-Primakoff transformation is used to get a theory of the magnon-hole interaction for the anisotropic t-J model in a three-dimensional tetragonal lattice. The sublattice magnetization, internal energy, and specific heat are calculated by taking into account the contributions of magnon-magnon, magnon-hole, and hole-hole as well as antiferromagnetic spin polaron interactions. We obtain a uniform expression for these quantities, which is governed by the concentration of doping and the anisotropic degree. The results show that the effect of the small interlayer coupling in a layered realistic copper-oxide superconductors turns indeed the temperature dependence of the physical quantities from two-dimensional to quasi-two-dimensional behavior at low temperature.
116890886
Holography and the Ads/CFT Correspondence
117201929
Possible modifications of the gravitational deflection of light
We investigate possible modifications on the gravitational deflection of light. Two forms of deformation of the Schwarzschild spacetime are proposed. The first ansatz is a given Finslerian line element; it could be regarded as a weak quantum gravity effect on the Schwarzschild spacetime. Starting from this ansatz, we deduce the deflection angle of the light ray which passes a weak gravitational source. The second ansatz could be regarded as a quantum vacuum effect on the Schwarzschild spacetime. The deflection angle of the light ray which passes a weak gravitational source is deduced in this Riemannian spacetime. This vacuum effect may distinguish the mixed light rays in the absence of gravitational source by a "spectroscope" (the gravitational source). The solutions of the gravitational field equation in this Riemannian spacetime imply this issue.
118557445
Isometric group of $(\alpha,\beta)$-type Finsler space and the symmetry of Very Special Relativity
The Killing equation for a general Finsler space is set up. It is showed that the Killing equation of $(\alpha,\beta)$ space can be divided into two parts. One is the same with Killing equation of a Riemannian metric, another equation can be regarded as a constraint. The solutions of Killing equations present explicitly the isometric symmetry of Finsler space. We find that the isometric group of a special case of $(\alpha,\beta)$ space is the same with the symmetry of Very Special Relativity (VSR). The Killing vectors of Finsler-Funk space are given. Unlike Riemannian constant curvature space, the 4 dimensional Funk space with constant curvature just have 6 independent Killing vectors.
118861755
Constraints from Type IA Supernovae on {\lambda}-CDM Model in Randers-Finsler Space
Abstract Gravitational field equations in Randers-Finsler space of approximate Berwald type are investigated. A modified Friedmann equation and a new luminosity distance-redshift relation is proposed. A best-fit to the Type Ia supernovae (SNe) observations yields that the ΩΛ in the Λ-CDM model is suppressed to almost zero. This fact indicates that the astronomical observations on the Type Ia SNe can be described well without invoking any form of dark energy. The best-fit age of the universe is given. It is in agreement with the age of our galaxy.
118845334
Inflation and primordial power spectra at anisotropic spacetime inspired by Planck’s constraints on isotropy of CMB
Recently, the Planck 2013 results showed possible evidence for a dipolar power modulation of the CMB temperature fluctuations at low-ℓ multipoles. This anomaly might imply certain deviations from statistical isotropy. To incorporate the Planck’s data into the standard cosmological model, we propose an inflation model of the very early universe in an anisotropic spacetime. A generalized Friedmann–Robertson–Walker (FRW) metric is presented in the Randers–Finsler spacetime. We obtain the primordial power spectrum of the scalar perturbation with direction dependence, such as the dipolar modulation. This is consistent with the dipolar power modulation of the CMB anisotropy signaled by the Planck observation.
2240754
Bifurcation and dynamical symmetry breaking in a renormalization-group-improved field theory.
We formulate the renormalization-group-improved theory for an m/sub r/not =0 (massive) QCD Lagrangian. The Green's functions are parametrized in terms of two renormalization-group--invariant quantities, M/sub 0/ and ..lambda../sub c/. The theory exhibits usual analyticity structure for every M/sub 0/>..lambda../sub c/e/sup 1/6/. In the limit M/sub 0/ = ..lambda../sub c/e/sup 1/6/, m/sub r/ becomes zero. The theory exhibits bifurcation in this limit, and chiral symmetry remains broken. is calculated in this limit.
46718592
Nambu-Goldstone bosons and dynamical symmetry breaking in QCD at high temperatures.
We report on the renormalization-group study of the low-energy effective potential in QCD. We derive the dynamically induced linear {sigma} model (DSM), whose self-couplings are not free parameters but are determined in terms of the running coupling of the underlying QCD. In this DSM, the {sigma} meson is not a fundamental field, but a genuine quark-antiquark 0{sup +} bound state, while the {pi} is the quark-antiquark 0{sup {minus}} bound state. We show the masslessness of the {pi} at zero temperature, so that the {pi} is a true Nambu-Goldstone boson coupled to zero-temperature chirality. At high temperatures, the {pi} remains massless. Thus the zero-temperature chirality is not restored at high temperatures. The apparent chiral symmetry operative at high temperatures is thus to be distinguished from that at {ital T}=0. Comparison is made with the situation in the BCS and other theories where symmetry restoration does indeed take place.