Eclectic Particle Theory II

这个项目的目标是扩展和进一步发展量子场论中一些新发现的计算技术，并将这些技术应用于基本粒子物理中的问题。其中一些应用将应用于弦理论和量子膜，但也将应用于具有边界的拓扑理论。PI还打算根据包含动量和坐标依赖的Wigner泛函来扩展他的方法来描述量子过程。量子场和膜的时间演化将在量子Wigner泛函的时间演化的背景下进行研究。人们希望，在这种形式主义中，二元性将更加透明。PI还计划使用MoYal括号研究膜理论。

The goal of this project is to extend and further develop some newly discovered computational techniques in quantum field theory and to apply these to problems in elementary particle physics. Some of the application will be to string theory and quantum membranes but also to topological theories with boundaries. The PI also intends to extend his approach for formulating quantum processes in terms of Wigner functionals, which contain both momentum and coordinate dependence. The time evolution of quantum fields and membranes will be studied in the context of the time evolution of the quantum Wigner functional. It is hoped that Duality will be more transparent in this formalism. The PI also plans to study Membrane theory with the use of Moyal brackets.