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领导的巴西圣保罗天主教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在衬底电位中超流体HeII薄膜层的临界性质的一个猜想，本项目旨在利用摄动和非摄动技术研究统计力学理论中既有有序算子又有无序算子的可重整和超重整算子。本研究旨在引导对高维理论重整化方面的理解，其中拓扑激励在描述动力学方面起着主导作用。该项目涉及的量子场论主题是美国小组和巴西小组共同感兴趣的，并且两个小组的合作者都有经验。联合项目将使两个小组能够结合他们的专业知识，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.