Mathematical Sciences: Wavelets and Mathematical Physics

巴特尔教授将继续他的工作， 非平凡量子场论 特别是，该项目 将集中在非线性sigma模型，严格 可重整渐近自由理论 他的技术 构造将使用相对较新的小波概念， 他将开发满足量子的特殊要求， 场理论 量子场是被认为 粒子之间的相互作用 存在于自然界中。 因此，值得注意的是， 本质上是数学实体，还没有被证明 存在. 巴特尔教授是为数不多的 他们致力于量子场论的构建 他的项目涉及一个模型理论的建设，称为 非线性sigma模型 巴特尔工作的一个附带好处是， 在这个结构中的小波。 这些物体被证明是 在纯数学和应用数学的许多其他领域都有用， 战斗已经并将继续为他们的 发展

Professor Battle will continue his work to construct nontrivial quantum field theories. In particular, this project will concentrate on the nonlinear sigma model, a strictly renormalizable asymptotically free theory. His technique of construction will use the relatively new concept of wavelet which he will develop to meet the particular requirements of quantum field theory. Quantum fields are the basic quantities which are thought to be responsible for all the interactions between particles which exist in nature. It is therefore notable that these objects which are essentially mathematical entities, have not been shown to exist. Professor Battle is one of the few mathematical physicists who work in the area of construction of quantum field theories. His project involves the construction of a model theory called the nonlinear sigma model. A side benefit of Battle's work is his use of wavelets in this construction. These objects have turned out to be of use in many other areas of pure and applied mathematics, and Battle has and will continue to contribute toward their development.