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Induced Field Theory on the Brane World

膜世界的感应场论

基本信息

批准号：
13640297
负责人：
AKAMA Keiichi
金额：
$ 1.73万
依托单位：
Saitama Medical University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2003
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640297/
关键词：
brane world brane induced gravity soliton Gauss-Codazzi-Ricci equation naturalness bound compositeness scale invariance string theory Brane World brane geometro-dynamics dipole moment 非可換非線形シグマ模型

项目摘要

We obtained the following new results about induce field theory on the brane world or field theories in general. (1)We derived, in a quantum theoretical way, field theories for the geometrical objects, solitonic fluctuations, and trapped objects on the brane worlds, which is localized by higher dimensional soliton. (2)In the non-abelian gauge theories, gauge fields can be composite (i. e. induced field theory) only if there exist so many fermion species as the asymptotic freedom is violated. The composite field coupling constants in the induced field theories are exactly scale invariant. (3)Assuming naturalness, we derived general bounds on the fermion-dipole moments arising from new physics and applied them to the observed results. (4)We extended the three dimensional non-linear sigma model to the non-commutative field theory, and obtained several new results on structure of the solitonic solutions, properties of the moduli, and low energy scattering of the solitons. (5)We successfully constructed CP(n) nonlinear sigma model on non-anti-commutative super spaces in four dimensions and in two dimensions. (6)We investigated phenomenological properties of the SU(3) x SU(3) x U(1) model. (7)The dimensional reduction is reconsidered for the random-field Ising model. (8)Given a two-loop beta function for multiple marginal coupling constants, we derived an asymptotic formula for the running coupling constants driven to an infrared fixed point.

我们得到了关于膜世界上的诱导场论或一般场论的下列新结果。(1)We用量子理论的方法导出了高维孤子局域化的膜世界上的几何对象、孤子涨落和囚禁对象的场论。(2)In在非阿贝尔规范理论中，规范场可以是复合的（即，e.诱导场论），只有当存在如此多的费米子物种，因为渐近自由被违反。感应场理论中的复合场耦合常数是精确标度不变的。（3）在自然性假设下，我们导出了由新物理产生的费米子-偶极矩的一般界，并将其应用于观测结果。(4)We将三维非线性sigma模型推广到非对易场论中，得到了孤子解的结构、模的性质以及孤子的低能散射等新结果. (5)We成功地构造了四维和二维非反交换超空间上的CP（n）非线性sigma模型。(6)We研究了SU（3）x SU（3）x U（1）模型的唯象性质。（7）重新考虑了无规场伊辛模型的降维问题。（8）在给定多个边缘耦合常数的双环β函数的情况下，我们导出了驱动到红外不动点的运行耦合常数的渐近公式。