臺灣博碩士論文加值系統

建構相對論性量子波色弦的過程，引入light-cone gauge將使開弦在時空中的運動可為波動方程所描述。其解由弦兩個端點的邊界條件得到NN、DD、ND、DN四類string coordinate的mode展開形式，並且說明D-brane存在於弦理論的物理意義。本論文中將討論兩個時空維度相當之D-brane在X2-X3平面相交θ角時的特殊結構，計算張附於此D-brane結構上的開弦mode展開與質量。最後，探討對應於真實四維時空的D3-D3branes交於一角時，開弦質量若為零之情形。

To construct the relativistic quantum bosonic string, the motion of the open string will be described by the wave equation when introducing light-cone gauge. Due to the boundary conditions of the endpoints, the solution can express four types of mode expansions of string coordinate, and has stated the physical meaning in which D-branes exist in the string theory. In this thesis, we will discuss that two D-Branes have been the same dimension of spacetime when this special structure intersects with angels. We can calculate the solution and the mass of open string which stretched between the configurations of D-branes. Finally, we additionally to confer the massless quantum state of the open string that is on D3-D3 branes intersecting correspond with real four dimensional spacetime of world.

Abstract Ⅰ

中文摘要 Ⅱ

CH 1 Introduction 1

CH 2 Relativistic Quantum Open String 5
2-1 Light-cone relativistic open string 6
2-2 The quantization of open string 15
2-3 The type of string coordinate 20
2-4 Lorentz symmetry and Lorentz covariant quantization 28

CH 3 Intersecting D-Branes at Angles 32
3-1 The boundary condition for open string 33
3-2 The mode expansion of string coordinates 36
3-3 The mass spectrum of open string 42

CH 4 Conclusion 47

Appendix A 53

Appendix B 55

Appendix C 57

Appendix D 63

Reference Ⅲ

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[4] Brian Hatfield, Quantum Field Theory of Point Particles and Strings, Redwood City, Calif. Addison-Wesley, 1992

[5] Micha Berkooz, Michael R. Douglas, Robert G. Leigh, Branes Intersecting at Angles, Nuclear Physics B 480 (1996) 265-278

[6] Friedel Epple, Dieter Lust, Tachyon Condensation for Intersecting Branes at Small and Large Angles, Fortsch. Phys. 52 (2004) 367-387 [arXiv: hep-th/0311182]

[7] Jorge G. Russo,Konstadinos Sfetsos, Rotating D3-branes and QCD in three dimensions, Adv. Theor. Math. Phys. 3 (1999) 131-146 [arXiv: hep-th/9901056]