Temperature effect on the power spectrum in inflation

We examine the effect of the thermal vacuum on the power spectrum of inflation by using the thermal field dynamics. We find that the thermal effect influences the CMB anisotropy at large length scale. After removing the divergence by using the holographic cutoff, we observe that the thermal vacuum explains well the observational CMB result at low multipoles. This shows that the temperature dependent factor should be considered in the study of power spectrum in inflation, especially at large length scale.     

Hot Strange Hadronic Matter in an Effective Model

An effective model used to describe the strange hadronic matter with nucleons, A-hyperons, and [I]-hyperons is extended to finite temperature. The extended model is used to study the density, temperature, and strangeness fraction dependence of the effective masses of baryons in the matter. The thermodynamical quantities, such as free energy and pressure, as well as the equation of state of the matter, are given.     

LIQUID-GAS PHASE TRANSITION OF SYMMETRIC NUCLEAR MATTER AND SGII-TYPE EFFECTIVE INTERACTIONS

Using the real time Green's function method and SGII-type interactions,we calculate the pressure,the critical temperature and other thermodynamical quantities.We compare our results with that given by other nucleon-nucleon effective interactions.     

EXTENDED CLOUDY BAG MODEL AND NUCLEAR FORCE

By means of the Cloudy Bag Model (CBM), the contributions of pion field to nucleon-nucleon potential are calculated. It is shown that the results given by CBM are in good agreement with One-Pion-Exchange-Potential (OPEP) at large distance. Futhermore, in order to take into account the contributions of vector meson to nuclear force, we extend the CBM to include the vector meson and quark-antiquark-vector meson interaction. Using the Extended Cloudy Bag Model (ECBM) and Breit-Fermi equation of two nucleon system, through Foldy-Wouthuysen transformation, we get the nucleon-nucleon interaction which is in good agreement with naive One-Vector-Meson-Exchange-Potential (OVEP) in nonrelativistic limit, but effects of nucleon structure to nuclear force (form factor) are given.     

Regular Black Holes with Cosmological Constant

We present a class of regular black holes with cosmological constant Λ in nonlinear electrodynamics. Instead of usual singularity behind black hole horizon, all fields and curvature invariants are regular everywhere for the regular black holes. Through gauge invariant approach, the linearly dynamical stability of the regular black hole is studied. In odd-parity sector, we find that the Λ term does not appear in the master equations of perturbations, which shows that the regular black hole is stable under odd-parity perturbations. On the other hand, for the even-parity sector, the master equations are more complicated than the case without the cosmological constant. We obtain the sufficient conditions for stability of the regular black hole. We also investigate the thermodynamic properties of the regular black hole, and find that those thermodynamic quantities do not satisfy the differential form of first law of black hole thermodynamics. The reason for violating the first law is revealed.     

Wronskian Approach and One-Dimensional Schrodinger Equation with Double-Well Potential

A Wronskian determinant approach is suggested to study the energy and the wave function for onedimensional Schrodinger equation. An integral equation and its corresponding Green function are constructed. As an example, we employed this approach to study the problem of double-well potential with strong coupling. A series of expansion of ground state energy up to the second order approximation of iterative procedure is given.     

Hot Strange Hadronic Matter in an Effective Model

An effective model used to describe the strange hadronic matter with nucleons, Λ-hyperons, and Ξ-hyperonsis extended to finite temperature. The extended model is used to study the density, temperature, and strangeness fractiondependence of the effective masses of baryons in the matter. The thermodynamical quantities, such as free energy andpressure, as well as the equation of state of the matter, are given.     

采用Skyrme势的有限不对称核物质的化学势-密度状态方程

本文利用有限温度实时Green函数方法,采用Skyrme势,给出了有限不对称核物质的化学势卢μ-密度ρ的状态方程,并讨论了Coulomb力和重排势对有限不对称核物质汽液相变的影响。     

Extended Wronskian Determinant Approach and Iterative Solutions of One-Dimensional Dirac Equation

An approximation method, namely, the Extended Wronskian Determinant Approach, is suggested to study the one-dimensional Dirac equation. An integral equation, which can be solved by iterative procedure to find the wave functions, is established. We employ this approach to study the one-dimensional Dirac equation with one-well potential, and give the energy levels and wave functions up to the first order iterative approximation. For double-well potential, the energy levels up to the first order approximation are given.