Compactification of Space-Time Dimensions in Lattice Gauge Theory
Compactification of Space-Time Dimensions in Lattice Gauge Theory
复制标题
格子规范理论中时空维度的紧化
DOI：
10.1142/s0217751x88000618
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发表时间：
1988
影响因子：
1.6
通讯作者：
B. Skagerstam
中科院分区：
文献类型：
--
作者：
C. Lang;M. Pilch;B. Skagerstam
在D=5维欧氏空间中研究了纯SU（2）Yang-Mills规范场理论，在这种情况下连续统理论是不可重整化的.通过一维的紧化，在树的层次上，有效理论等价于一个D=4的SU（2）规范理论与伴随标量场。在蒙特卡罗（MC）模拟的晶格正则化理论，我们确认存在一个一阶相变，在非对称晶格上，我们也发现了一个更高的阶相“有限温度”的转变。我们认为，在D=4的情况下，紧化理论的低能连续极限与可重正化的伴随Higgs模型在不间断的封闭相的低能连续极限是一致的。
The pure SU(2) Yang-Mills gauge field theory is studied in D=5 Euclidean dimensions in which case the continuum theory is nonrenormalizable. By a compactification of one dimension the effective theory, on the tree level, is equivalent to a D=4 SU(2) gauge theory with adjoint scalar fields. In a Monte Carlo (MC) simulation of the lattice regularized theory we confirm the existence of a first order phase transition; on asymmetric lattices we also find a higher order phase “finite temperature” transition. It is argued that the low energy continuum limit of the compactified theory nonperturbatively agrees with the renormalizable adjoint Higgs model in D=4 in the unbroken, confining phase.