论文标题

夸克禁闭的概率机制

A probabilistic mechanism for quark confinement

论文作者

Chatterjee, Sourav

论文摘要

夸克的限制是现代物理学的持久奥秘之一。有一个长期存在的物理启发式,即限制是“不间断中心对称性”的结果。本文通过严格地定义晶格仪理论中的中心对称性,并证明当中心对称性不间断时,理论限制了这种启发式的数学确认。此外,给出了不间断的中心对称性的足够条件:显示出仪表组的中心是不平凡的,并且在任意边界条件下相关性呈指数衰减,则中心对称性不会破裂。

The confinement of quarks is one of the enduring mysteries of modern physics. There is a longstanding physics heuristic that confinement is a consequence of `unbroken center symmetry'. This article gives mathematical confirmation of this heuristic, by rigorously defining of center symmetry in lattice gauge theories and proving that a theory is confining when center symmetry is unbroken. Furthermore, a sufficient condition for unbroken center symmetry is given: It is shown that if the center of the gauge group is nontrivial, and correlations decay exponentially under arbitrary boundary conditions, then center symmetry does not break.

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