洛倫茲對(duì)稱性自發(fā)破缺理論中的拓?fù)淙毕莸难芯?/H1>
發(fā)布時(shí)間：2018-09-04 17:23
【摘要】：洛倫茲不變性是物理學(xué)的基礎(chǔ)之一，但是一些量子引力模型已經(jīng)暗示了洛倫茲對(duì)稱性違背的可能性。斯特萊茨基等人發(fā)展了標(biāo)準(zhǔn)模型理論，在此理論框架下我們可以廣泛探討低于普朗克能標(biāo)的領(lǐng)域中的洛倫茲違背現(xiàn)象。由反對(duì)稱二階張量場(chǎng)構(gòu)建的洛倫茲違背理論引起人們廣泛地興趣，本文探討了此理論中簡(jiǎn)并真空態(tài)的拓?fù)浣Y(jié)構(gòu)，研究了此理論中拓?fù)淙毕萦绕涫菃螛O子的引力場(chǎng)的性質(zhì)。 本文的結(jié)構(gòu)如下：在第一章中我們以基本的概念為線索對(duì)規(guī)范理論中的拓?fù)淙毕莸睦碚摶A(chǔ)進(jìn)行了概述。在第二章中我們簡(jiǎn)要介紹了標(biāo)準(zhǔn)模型擴(kuò)展理論，然后著重考察了反對(duì)稱二階張量場(chǎng)理論中洛倫茲對(duì)稱性自發(fā)破缺后簡(jiǎn)并真空的拓?fù)浣Y(jié)構(gòu)。在規(guī)范理論中真空流形與規(guī)范對(duì)稱群關(guān)于未破缺子群的陪集空間同構(gòu)，但在此理論中情形有所不同。真空流形的拓?fù)浣Y(jié)構(gòu)允許單極子解。在第三章中我們?cè)敿?xì)探討了單極子的引力性質(zhì)。我們給出了單極子的引力場(chǎng)的解析的近似解，利用數(shù)值方法討論了引力場(chǎng)中的測(cè)地線，比較了此單極子與標(biāo)量單極子引力場(chǎng)中光線偏折效應(yīng)并指出在天文觀測(cè)中區(qū)分它們是可行的。最后，在第四章中我們對(duì)上述結(jié)果進(jìn)行了總結(jié)。
[Abstract]:Lorentz invariance is one of the foundations of physics, but some quantum gravitational models have indicated the possibility of Lorentz symmetry violation. Straitsky et al developed the standard model theory, under which we can discuss the Lorentz violation in the field of energy target of Planck extensively. The Lorentz violation theory constructed from the antisymmetric second-order Zhang Liang field has attracted widespread interest. In this paper, the topological structure of degenerate vacuum state in this theory is discussed, and the properties of the topological defects, especially the gravitational field of monopole, in this theory are studied. The structure of this paper is as follows: in the first chapter, we summarize the theoretical basis of topological defects in gauge theory based on the basic concepts. In the second chapter, we briefly introduce the standard model extension theory, and then we focus on the topological structure of Lorentz symmetry degenerate vacuum after spontaneous breaking of Lorentz symmetry in the antisymmetric second-order Zhang Liang field theory. In the gauge theory, the vacuum manifold is isomorphic to the coset space of the normal symmetric group with respect to the unbroken subgroup, but the situation is different in this theory. The topological structure of the vacuum manifold allows the monopole solution. In chapter 3, we discuss the gravitational properties of monopole in detail. We give the analytical approximate solution of the gravitational field of the monopole, and discuss the geodesy in the gravitational field by using the numerical method. The light deflection effects in the gravitational field between the monopole and the scalar monopole are compared and it is pointed out that it is feasible to distinguish them in astronomical observations. Finally, in the fourth chapter, we summarize the above results.
【學(xué)位授予單位】：上海師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：P142
【共引文獻(xiàn)】
相關(guān)期刊論文 前1條
1 曾定方;;含磁單極電動(dòng)力學(xué)的電磁對(duì)偶對(duì)稱性自發(fā)破缺問(wèn)題[J];大學(xué)物理;2014年10期
，
本文編號(hào)：2222841
本文鏈接：http://sikaile.net/kejilunwen/tianwen/2222841.html
[Abstract]:Lorentz invariance is one of the foundations of physics, but some quantum gravitational models have indicated the possibility of Lorentz symmetry violation. Straitsky et al developed the standard model theory, under which we can discuss the Lorentz violation in the field of energy target of Planck extensively. The Lorentz violation theory constructed from the antisymmetric second-order Zhang Liang field has attracted widespread interest. In this paper, the topological structure of degenerate vacuum state in this theory is discussed, and the properties of the topological defects, especially the gravitational field of monopole, in this theory are studied. The structure of this paper is as follows: in the first chapter, we summarize the theoretical basis of topological defects in gauge theory based on the basic concepts. In the second chapter, we briefly introduce the standard model extension theory, and then we focus on the topological structure of Lorentz symmetry degenerate vacuum after spontaneous breaking of Lorentz symmetry in the antisymmetric second-order Zhang Liang field theory. In the gauge theory, the vacuum manifold is isomorphic to the coset space of the normal symmetric group with respect to the unbroken subgroup, but the situation is different in this theory. The topological structure of the vacuum manifold allows the monopole solution. In chapter 3, we discuss the gravitational properties of monopole in detail. We give the analytical approximate solution of the gravitational field of the monopole, and discuss the geodesy in the gravitational field by using the numerical method. The light deflection effects in the gravitational field between the monopole and the scalar monopole are compared and it is pointed out that it is feasible to distinguish them in astronomical observations. Finally, in the fourth chapter, we summarize the above results.
【學(xué)位授予單位】：上海師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2013
【分類號(hào)】：P142
【共引文獻(xiàn)】
相關(guān)期刊論文 前1條
1 曾定方;;含磁單極電動(dòng)力學(xué)的電磁對(duì)偶對(duì)稱性自發(fā)破缺問(wèn)題[J];大學(xué)物理;2014年10期
，本文編號(hào)：2222841
本文鏈接：http://sikaile.net/kejilunwen/tianwen/2222841.html
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