本文關(guān)鍵詞：W弦場論實現(xiàn)的新進展和黑洞背景下的強引力效應(yīng)　出處：《蘭州大學(xué)》2012年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： W弦 BRST荷 黑洞 粒子加速器 強引力透鏡

【摘要】：本文主要研究了w弦的自由場實現(xiàn)及Becchi-Rouet-Stora-Tyutin (BRST)荷的構(gòu)造,以及黑洞背景下的強引力效應(yīng)這兩個方面的問題。 論文的第一部分主要是對W2,s弦的標量場和旋量場實現(xiàn)進行了研究：首先,研究了Virasoro代數(shù)和W2,s弦的標量場和旋量場實現(xiàn)。結(jié)果表明BRST方法不僅適用于W弦的標量場實現(xiàn),而且對于旋量場的實現(xiàn)也非常有效。其次,利用旋量場的性質(zhì),借助于BRST荷的階化假設(shè)QB=Qo+Q1和冪零性質(zhì)QB2=0,我們首次對半整數(shù)的W2,s弦進行了實現(xiàn)并得到了許多有意義的結(jié)果,與其相應(yīng)的BRST荷也一一進行了構(gòu)造。第三,基于線性的W1,2,s代數(shù),我們得到了W2,s弦的雙標量場和雙旋量場實現(xiàn)。另外,在對W2,s弦的自旋為s的流重新標度后,我們還研究了W2,sM(?)W2,sL弦系統(tǒng)中Liouville子系統(tǒng)在中心荷奇異點的實現(xiàn)問題。該子系統(tǒng)的物理態(tài)也給出了初步的探討。這是W弦理論在國際上的新的發(fā)展。 論文的第二部分主要針對當前國際引力學(xué)界關(guān)注的強引力效應(yīng),黑洞粒子加速器和強引力透鏡效應(yīng)進行了深入的研究。主要完成的工作包括： 第一,研究了彎曲時空中兩個粒子從無窮遠處由引力場的作用運動到黑洞視界面上進行碰撞的碰撞質(zhì)心能問題。研究指出,對于Kerr-Newman (KN)黑洞,為了得到一個無窮大的碰撞質(zhì)心能,碰撞粒子需要具有臨界角動量,而且極端黑洞的自旋參數(shù)也需要滿足一定的約束。但是考慮到粒子的反沖效應(yīng)后,碰撞的最大質(zhì)心能將被極大的降低到普朗克能標以下,從而會破壞KN黑洞作為一個極高能標粒子加速器。而對于弦理論黑洞來說,考慮了反沖效應(yīng)之后,一個近極端黑洞仍可以作為一極高能標粒子加速器。這一結(jié)果提供了一種探測Planck能標物理的機制,為用天文觀測數(shù)據(jù)來研究極高能標物理提供了一條有效的途徑。 第二,利用光子在彎曲時空中的運動方程,分別對靜態(tài)、球?qū)ΨQ時空和穩(wěn)態(tài)、軸對稱時空下的強引力透鏡效應(yīng)進行了深入的研究。在靜態(tài)、球?qū)ΨQ黑洞背景下的強引力透鏡效應(yīng)和黑洞的高能吸收散射截面之間建立了直接的關(guān)系,通過該關(guān)系,我們可以將對黑洞高能吸收散射截面的理論研究轉(zhuǎn)化為對黑洞的強引力效應(yīng)的天文觀測。另外我們還對帶宇宙弦的Kerr黑洞的強引力透鏡效應(yīng)給出了深入的研究。計算得到了光子在經(jīng)過黑洞時的偏轉(zhuǎn)角和相應(yīng)的天文可觀測量。借助于光子的逆向行進軌道,考察了透鏡效應(yīng)的臨界曲線和焦散結(jié)構(gòu)。為天文上對強引力透鏡的有效觀測提供了一定的理論依據(jù)。
[Abstract]:In this paper, we mainly study the realization of the free field of w string and the construction of Becchi-Rouet-Stora-Tyutin / BRST load. And the strong gravitational effect in the background of black hole. The first part of the thesis mainly studies the realization of scalar field and spinor field of W2s string. Firstly, the Virasoro algebra and W2 are studied. The results show that the BRST method is not only suitable for the realization of the scalar field of the W string, but also very effective for the realization of the spinor field. Secondly, the properties of the spinor field are used. With the help of the QB=Qo Q _ 1 and nilpotent property QB _ 2N _ 0 of BRST charge, we have realized the W _ 2s string of semi-integers for the first time and obtained many meaningful results. The corresponding BRST load is constructed one by one. Thirdly, based on the linear W _ 1N _ 2s algebra, we obtain the realization of the double scalar field and the double spin field of the W _ 2s string. In addition, in the case of W _ 2, we obtain the realization of the double scalar field and the double spin field of the W _ 2s string. After the spin of s string has been rescaled to s, we have also studied the W _ 2s M ~ ((1))? The realization of Liouville subsystem at the singularity point of central charge in W2SL chord system is discussed. The physical state of the subsystem is also discussed. This is a new development of W string theory in the world. The second part of the thesis mainly focuses on the strong gravitational effect, the black hole particle accelerator and the strong gravitational lensing effect, which are paid close attention to in the current international gravitational field. First, the collisional centroid energy of two particles moving from the action of gravitational field to the visible interface of black hole from infinity is studied. For the Kerr-Newman KN) black hole, in order to obtain an infinite collisional centroid energy, the collision particles need to have critical angular momentum. The spin parameters of extreme black holes also need to satisfy certain constraints, but considering the recoil effect of particles, the maximum centroid energy of collision will be greatly reduced below the Planck energy scale. This will destroy the KN black hole as an extremely high energy particle accelerator. For string theory black holes, the recoil effect is considered. A near-extreme black hole can still be used as an extremely high energy particle accelerator. This result provides a mechanism for detecting the physics of Planck. It provides an effective way to study the physics of very high energy scale with astronomical observation data. Secondly, using the equations of motion of photons in curved spacetime, the strong gravitational lensing effects in static, spherical symmetric spacetime and steady state, axisymmetric spacetime are studied. A direct relationship between the strong gravitational lensing effect and the high energy absorption and scattering cross sections of a spherically symmetric black hole is established. We can convert the theoretical study of high energy absorption scattering cross section of black hole into astronomical observation of strong gravitational effect on black hole. In addition, we also give an in-depth study of the strong gravitational lensing effect of Kerr black hole with cosmic strings. The deflection angle of photons passing through a black hole and the corresponding astronomical observable measurements are calculated. The critical curve and the caustic structure of the lens effect are investigated, which provides a theoretical basis for the effective observation of the strong gravitational lens in astronomy.
【學(xué)位授予單位】：蘭州大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2012
【分類號】：P145.8

【共引文獻】

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相關(guān)博士學(xué)位論文 前3條

1 王偉;與W代數(shù)相關(guān)聯(lián)的幾類無限維李代數(shù)的結(jié)構(gòu)和表示[D];中國科學(xué)技術(shù)大學(xué);2011年

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相關(guān)碩士學(xué)位論文 前1條

1 李陽;Kerr-（anti-）de Sitter黑洞作為粒子加速器[D];蘭州大學(xué);2012年

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本文編號：1405650