U.S.- Brazil Cooperative Research: Investigation in QuantumField Theory

该奖项将支持由Daniel Boyanovsky领导的匹兹堡大学物理研究小组和由Carlos Aragao de Carvalho领导的巴西里约热内卢Catolica大学的一个小组在量子场论方面的合作。基于最近的不动点理论描述了衬底电势中超流HeII薄膜的临界性质的猜想，这个项目的目的是用微扰和非微扰技术研究统计力学理论中既有有序算符又有无序算符的可重整化和超重整化区域。这项研究的目的是为了理解高维理论的重整化方面，其中拓扑激发在描述动力学方面起主导作用。该项目涉及美国小组和巴西小组共同感兴趣的量子场论主题，两个小组的合作者都有经验。该联合项目将使两个小组能够结合他们的专业知识，并加快研究成果。

This award will support collaboration in quantum field theory between a physics research group at the University of Pittsburgh led by Daniel Boyanovsky, and a group at the Pontificia Universidade Catolica in Rio de Janeiro, Brazil, led by Carlos Aragao de Carvalho. Based on a conjecture that a recently fixed point theory describes the critical properties of thin film layers of superfluid HeII in a substrate potential, the project aims to study with pertur- bative and non-perturbative techniques both the renormalizable and the superrenormalizable regime in statistical mechanics theories in which both order and disorder operators are present. The research is designed to lead to an understanding of the renormalization aspects of theories in higher dimensions in which topological excitations play a leading role in describing the dynamics. The project involves topics in quantum field theory that are of common interest to both the U.S. group and the Brazilian group, and in which the collaborators in both groups have experience. The joint project will enable the two groups to combine their expertise and expedite the research results.