弦理論與場論對偶

Abstract

我們計畫研究AdS/QCD 對偶理論中一般的D 膜超引力解得到的模型— Dp-Dq 膜模型，即在Dp 膜的時空背景下，研究在Dq 膜上的開弦激發態。在Dp-Dq 膜 模型中，D 膜的空間維數p 和q 被看成兩個獨立的理論參數。同時我們還將進 一步引入紅外截斷，這會導致背景時空度規中彎曲因數（warp factor）的改變， 此外dilaton 場也會隨紅外截斷而改變。這些改變也提供了更多的理論參數。 這樣我們就可以用實驗資料來擬合這些理論參數，找出與實驗符合的最好的理 論圖像，從而更系統、更有效地研究現象學中的問題。我們希望在此模型的基 礎上研究強子物理中的一些問題。包括強子譜的Regge 行為、手征對稱性破缺 與π介子質量、膠球的能譜以及與其他粒子的相互作用。

We plan to study a type of models of AdS/QCD duality theory with the gerenal D-branes supergravity backgrounds — Dp-Dq branes models, i.e. we study the open string states on the probe Dq-branes in the space-time background of Dp-branes. In these Dp-Dq brane models, the space dimensions p and q are considered as two independent tjepretoca; parameters. Furthermore, we are going to introduce a IR cutoff, which modifies the warp factor of the space-time backgrounds, as well as the dilaton fields. These modifications create some more theoretical parameters. Therefore, we can fix these parameters by comparing them with the experimental data to obtain the best fitting theoretical picture. Finally, we are going to use the best fitting theoretical picture we got to systematically study some interesting problems in the phenomenology physics, such as the Regge behavior of the hadrons spectrum, the spontaneously chiral symmetry breaking and pion mass, the glueball spectrum and their interactions with other particles, etc.