Quantum field theory, solitons and other quantum dynamical systems

量子场论、孤子和其他量子动力学系统

• 批准号: 9394-2011
• 负责人: Paranjape, Manu
• 金额: $ 1.82万
• 依托单位: Université de Montréal
• 依托单位国家: 加拿大
• 项目类别: Subatomic Physics Envelope - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=521271
• 关键词: Quantum; field; theory; solitons; other

NUMERCIAL SIMULATIONS IN LATTICE (GAUGE) THEORY AND ANYONS: We wish to study of gauge field theory extending the analysis of U(1) gauge theory on a tetrahedral lattice in 3 Euclidean dimensions. Now we wish to extend our results to a Z3 lattice gauge theory a truncation of a non-abelian SU(3) gauge theory to its centre. The tetrahedral lattice affords the novelty that it allows for gauge flux tubes of magnetic flux one third. We hope to see confinement in this theory. Also we wish to continue our study of anyons in this model. It is an interesting question to compute higher virial coefficients and other thermodynamic quantities of an anyon gas.

晶格(规范)理论和任意子的数值模拟：我们希望研究规范场理论，将U(1)规范理论的分析推广到三维欧氏四面体晶格上。现在我们想把我们的结果推广到Z3格点规范理论，这是一个非阿贝尔SU(3)规范理论的中心截断。四面体晶格提供了一种新颖性，它允许测量磁通量为三分之一的磁通量管。我们希望在这一理论中看到限制。我们还希望继续研究这个模型中的任意子。计算更高的维里系数和任意子气体的其他热力学参数是一个有趣的问题。