Mass gap in the weak coupling limit of $(2+1)$ SU(2) lattice gauge theory

R. Anishetty, T. Sreeraj
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引用次数: 6

Abstract

We develop the dual description of $2+1$ SU(2) lattice gauge theory as interacting `abelian like' electric loops by using Schwinger bosons. "Point splitting" of the lattice enables us to construct explicit Hilbert space for the gauge invariant theory which in turn makes dynamics more transparent. Using path integral representation in phase space, the interacting closed loop dynamics is analyzed in the weak coupling limit to get the mass gap.
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$(2+1)$ SU(2)晶格规范理论弱耦合极限中的质量间隙
利用Schwinger玻色子将$2+1$ SU(2)晶格规范理论发展为相互作用的“类阿贝尔”电环的对偶描述。点阵的“点分裂”使我们能够为规范不变理论构造显式希尔伯特空间,从而使动力学更加透明。利用相空间中的路径积分表示,分析了弱耦合极限下的相互作用闭环动力学,得到了质量间隙。
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