On the Global Structure of Deformed Yang-Mills Theory and QCD(adj) on R^3XS^1
On the Global Structure of Deformed Yang-Mills Theory and QCD(adj) on R^3XS^1
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变形Yang-Mills理论的整体结构与R^3XS^1上的QCD(adj)
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
E. Poppitz
中科院分区：
文献类型：
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作者：
M. Anber;E. Poppitz
在小的S1-尺寸L下，R×SL上的空间紧化通常会导致可计算的真空结构，其中各种“拓扑分子”负责限制和实现中心和离散手征对称性。在这个半经典可计算的框架内，我们研究了具有相同SU（Nc）/Zk规范群（标记为“离散θ角”）的不同理论是如何在测量SU（Nc）规范理论的整体中心对称性的适当Zk子群时产生的。我们确定了可能的Zk行动的当地的电和磁的有效自由度，找到基态，并使用域壁和限制字符串给不同的SU（NC）/Zk理论的真空结构的物理图片。我们的一些结果重现了早期超对称研究的结果，但大多数是新的，并没有引用超对称性。我们还进一步研究了R2 × Sβ × SL的有限温度紧化。我们认为，在变形的Yang-Mills理论中，在解除禁闭温度βc L附近的有效理论表现出涌现的Kramers-Wannier对偶性，它交换了具有不同整体结构的高低温理论，具有N = 4超对称Yang-Mills理论中Ising模型和S-对偶性的特征.
Spatial compactification on R×SL at small S1-size L often leads to a calculable vacuum structure, where various “topological molecules” are responsible for confinement and the realization of the center and discrete chiral symmetries. Within this semiclassically calculable framework, we study how distinct theories with the same SU(Nc)/Zk gauge group (labeled by “discrete θ-angles”) arise upon gauging of appropriate Zk subgroups of the oneform global center symmetry of an SU(Nc) gauge theory. We determine the possible Zk actions on the local electric and magnetic effective degrees of freedom, find the ground states, and use domain walls and confining strings to give a physical picture of the vacuum structure of the different SU(Nc)/Zk theories. Some of our results reproduce ones from earlier supersymmetric studies, but most are new and do not invoke supersymmetry. We also study a further finite-temperature compactification to R2 × Sβ × SL. We argue that, in deformed Yang-Mills theory, the effective theory near the deconfinement temperature βc L exhibits an emergent Kramers-Wannier duality and that it exchanges highand low-temperature theories with different global structure, sharing features with both the Ising model and S-duality in N = 4 supersymmetric Yang-Mills theory.