格点规范场的真空波函数和真空能量的无规相近似计算

采用无规相近似(RPA)耦合集团展开方法,计算出2?+1维SU(2?)格点规范场的三到六阶真空波函数和真空能量.在计算中,用空心图构成试探波函数,得到的三到六阶真空波函数的计算结果在弱耦合区1g²〉1.2都表现出良好的标度行为.与较早的计算结果比较,采用RPA方法计算的真空波函数比采用非RPA方法计算的结果的标度行为有大幅度的改善.采用RPA方法计算的真空能量比采用非RPA方法计算的真空能量略低,这表明此方法是成功的方法.     

2+1维SU(2)格点规范场胶球波函数的高阶RPA计算

采用无规相近似(RPA)耦合集团展开方法求解薛定谔本征值方程，计算高阶胶球波函数. 在计算中，用空心Wilson圈图作为试探波函数，对特殊Wilson圈图作近似处理，计算出的2+1维SU(2)格点规范场的六阶和七阶胶球波函数的μ0F和μ2F及相关参数z 在弱耦合区(β=4.8-9.6)出现较好的标度行为，七阶真空能量在整个区域(β=0.8-8.0)与六阶真空能量一致.     

用改进的格点哈密顿量计算1+2维U(1)规范场真空波函数

从格点U(1)规范场论中改进的哈密顿量出发,推导出截断本征方程.并对2+1维U(1)规范场真空波函数进行数值计算,验证了理论的预言:对格点哈密顿量进行改进能使真空波函数的标度行为明显地改善.     

用改进的格点哈密顿量计算2+1维U(1)规范场真空波函数

从格点U(I)规范场论中改进的哈密顿量出发,推导出截断本征方程.并对2十1维外1)规范场真空波函数进行数值计算,验证了理论的预言:对格点哈密顿量进行改进能使真空波函数的标度行为明显地改善.     

2+1维SU(3)0++胶球质量

提出变形集团展开法研究2+1维SU(3)格点规范场的胶球质量.这种方法采用相连空心图的线性组合作为试探波函数,并引入了Wilson圈图的平均值.计算结果表明,变形集团展开法的真空能量比普通集团展开法方法的真空能量低,0⁺⁺胶球质量m/e²的二阶和三阶结果在耦合常数β=4.5—8.0区间,表现出较好的标度行为和良好的收敛性.     

带费米子2+1维SU(2)群格点规范理论中的真空和手征对称性自发破缺

本文把纯规范场的严格基态和费米场的变分真空态结合起来,研究格点QCD中2+1维SU(2)群带费米子的真空结构,计算费米子真空凝聚<ψψ>,其结果有较好的标度行为.     

带费米子2+1维SU(20)群格点规范理论中的真空和手征对称性自发破缺

本文把纯规范场的严格基态和费米场的变分真空态结合起来,研究格点QCD中2+1维SU(20)群带费米子的真空结构,计算费米子真空凝聚<ψψ>,其结果有较好的标度行为.     

对Hawking-Unruh效应的新认识

Hawking-Unruh效应既可以看作时间尺度变换的补偿效应，又可以看作能量尺度变换的补偿效应．温度以补偿场纯规范势的形式出现，反映真空能量零点的改变．Hawking-Unruh效应是惯性效应的一部分．惯性效应起源于加速引起的真空变化 关键词：     

高分辨率初始光电子能谱由真空紫外激光速度——映射图像的方法

通过采用真空紫外(VUV)激光速度-地图成像-TPE(真空紫外VMI-TPE)方法获得了高分辨率初始光电子(TPE)氯苯(C₆H₅Cl(X¹A₁))的光谱,炔丙基自由基(C₃H₃(X²B₁))和烯丙基(C₃H₅(X²A₁)). 观察到的真空紫外VMI-TPE方法的光电子能量分辨率在1~2 cm^-1,可以和在真空紫外激光脉冲场电离光电子(VUV-PFI-PE)的测量媲美. 类似真空紫外PFI-PE测量,真空紫外VMI-光电子(真空紫外VMI-PE)和真空紫外VMI-TPE测量能量分辨率依赖于直流电场在光电离区加速电子. C₆H₅Cl和C₃H₃的电离初始值的降低为F的函数表示Stark偏移校正为VUV-VMI-TPE测量由-3.1√F管辖,这是半经典预测值-6.1√F的一半. 我们还测量C₆H₅Cl和C₃H₅的真空紫外光能量的真空紫外VMI-PE谱接近其电离初始值. 在VUV-VMI-PE测量中观察到的C₃H₅⁺阳离子振动谱和振动级数,nv₇⁺(n=0~3). 真空紫外VMI-TPE可以实现更高的实验灵敏度和类似真空紫外PFI-PE测量的能量分辨率,使真空紫外VMI-TPE法成为高分辨率真空紫外PFI-PE测量一个很好的替代.     

低维规范理论中的费米子真空凝聚

我们把么正变换、变分法和纯规范场准确基态结合在一起,系统研究(1+1)维和(2+1)维带费米子格点规范理论的真空结构和手征对称性自发破缺,得到〈ψψ〉深入到弱耦合区的标度行为.本文结果与连续Schwinger模型一致,并预言了QCD₂、QED₃和QCD₃的费米子真空凝聚值.     

Effect of vacuum energy on evolution of primordial black holes in Einstein gravity

We study the evolution of primordial black holes by considering present universe is no more matter dominated rather vacuum energy dominated. We also consider the accretion of radiation, matter and vacuum energy during respective dominance period. In this scenario, we found that radiation accretion efficiency should be less than 0.366 and accretion rate is much larger than previous analysis by Nayak et al. (2009) [1]. Thus here primordial black holes live longer than previous works Nayak and Singh (2011) [1]. Again matter accretion slightly increases the mass and lifetime of primordial black holes. However, the vacuum energy accretion is slightly complicated one, where accretion is possible only up to a critical time. If a primordial black hole lives beyond critical time, then its? lifespan increases due to vacuum energy accretion. But for presently evaporating primordial black holes, critical time comes much later than their evaporating time and thus vacuum energy could not affect those primordial black holes.     

Creation of Schwarzschild-de Sitter wormholes by a cosmological first-order phase transition

It has been pointed out that the universe may contain Schwarzschild wormholes produced by first-order phase transitions of a vacuum. In this letter, we consider this possibility for the more general case in which the vacuum energy density inside growing bubbles remains finite. We show that (1) Schwarzschild-de Sitter wormholes are created instead of simple Schwarzschild ones, and (2) if the remaining vacuum energy density is greater than a critical value, no wormholes are created.     

Energy loss of photoelectrons by interaction with image charge

By measuring the photoelectron spectra of the Cu(001) and Cu(110) surfaces excited by tunable-laser photons of very low energy (4.50-4.95 eV), we have found that the photoelectron can lose energy through interaction with its image charge. This energy loss occurs just outside the solid surface and appears as a spike structure at the vacuum edge in the photoemission spectra. The requirement for observing this energy loss structure is the absence of unoccupied states at the vacuum level at the Gamma point to which zero kinetic energy electrons can return.     

On quantum radiation in curved spacetime

In the context of quantum field theories in curved spacetime, we compute the effective action of the transition amplitude from vacuum to vacuum in the presence of an external gravitational field. The imaginary part of the resulted effective action determines the probability of vacuum decay via a quantum tunneling process, giving the rate and spectrum of particle creations. We show that (i) the gravitational field polarizes the vacuum and discretizes its spectrum; (ii) vacuum gains gravitational energy by such a polarization. On the basis of gravitational vacuum polarization, we discuss the quantum origin of vacuum decay in curved spacetime as pair-creations of particles and anti-particles. The thermal spectrum of particle creations is attributed to (i) the CPT invariance of pair-creations (annihilations) from (into) vacuum and (ii) vacuum acts as a reserve with the temperature determined by gravitational energy-gain.     

Renormalization of the two-photon vacuum polarization and the self energy vacuum polarization for a tightly bound electron

The renormalization method of Bogoljubov-Parasiuk-Hepp-Zimmermann (BPHZ) is used in order to derive the renormalized energy shift due to the gauge invariant K?llén-Sabry diagram of the two-photon vacuum polarization (VPVP) as well as the self energy vacuum polarization S(VP)E beyond the Uehling approximation. It is outlined, that no outer renormalization is required for the two-photon vacuum polarization and that only the inner renormalization has to be accomplished. It is shown that the so-called nongauge invariant spurious term is absent for a wide class of vacuum polarization (VP) diagrams if one applies the widely used spherical expansion of bound and free-electron propagator. This simplifies significantly calculations in bound state quantum electrodynamics. As one result of our paper the use of the BPHZ-approach in bound state QED is established. Received 28 September 2001     

Vacuum energy: Quantum hydrodynamics vs. quantum gravity

We compare quantum hydrodynamics and quantum gravity. They share many common features. In particular, both have quadratic divergences, and both lead to the problem of the vacuum energy, which, in quantum gravity, transforms to the cosmological constant problem. We show that, in quantum liquids, the vacuum energy density is not determined by the quantum zero-point energy of the phonon modes. The energy density of the vacuum is much smaller and is determined by the classical macroscopic parameters of the liquid, including the radius of the liquid droplet. In the same manner, the cosmological constant is not determined by the zero-point energy of quantum fields. It is much smaller and is determined by the classical macroscopic parameters of the Universe dynamics: the Hubble radius, the Newton constant, and the energy density of matter. The same may hold for the Higgs mass problem: the quadratically divergent quantum correction to the Higgs potential mass term is also cancelled by the microscopic (trans-Planckian) degrees of freedom due to the thermodynamic stability of the whole quantum vacuum.     

A new look at the accelerating universe

We show that the cosmological model having zero cosmological constant, but containing the vacuum energy of a simple quantized free scalar field of low mass (VCDM model), agrees with the cosmic microwave background radiation (CMBR) and supernova (SNe-Ia) data at least as well as the classical cosmological model with a small nonzero cosmological constant. We also show that in the VCDM model the ratio of vacuum pressure to vacuum energy density is less than -1. We display the VCDM results for a set of parameters that give a very good fit to the CMBR power spectrum, and show that the same parameters also give a good fit to the SNe-Ia data.     

Laser conditioning of high-reflective and anti-reflective coatings in vacuum environments

Laser conditioning effects of the dielectric mirror coatings in vacuum environments were investigated. The laser-induced damage thresholds (LIDT) in vacuum environments before and after laser conditioning were compared. It is found that laser conditioning in vacuum environments decrease the LIDT of the component. Laser conditioning effects in vacuum and atmosphere environments were also compared and investigated. The negative effects of laser conditioning in vacuum environments were discussed and analyzed with defect statistical model, energy dispersive X-ray analysis and absorption measurements.     

On the problem of divergences in Quantumelectrodynamics

In a first step we have tried to show that very probably in Quantumelectrodynamics (QED) due to vacuum polarization effects the original bare charges of electrons and positrons are smeared out so much that their original divergent energy distances from the vacuum energy become finite. Furthermore, we have sketched how one has to generalize the calculations to refine the considerations presented in this paper.