Low-dimensional quantum systems

统计力学和量子场论的可积系理论是当前理论物理和数学中发展最快、最引人入胜的学科之一。 它可以获得一维或两维空间中强相互作用量子系统的精确描述，并为理解量子线、碳纳米管和约瑟夫森结等小系统的临界现象和物理提供了基本工具。该项目解决了这一领域的两个特殊问题：具有连续自旋的三维晶格模型和具有超对称性的二维质量场理论中的形状因子的计算。

The theory of integrable systems of statistical mechanics and quantum field theory is currently one of most rapidly developing and fascinating subjects in theoretical physics and mathematics. It allows to obtain an exact description of strongly-interacting quantum systems in one or two space dimensions and provides fundamental tools for understanding of critical phenomena and physics of small systems like quantum wires, carbon nanotubes and Josephson junctions. The project addresses two particular problems in this field: the three-dimensional lattice model with continuous spins and calculation of form factors in a two-dimensional massive field theory with a supersymmetry.