规范-希格斯分析性悖论的解决方案
Solution to the gauge-Higgs analyticity paradox
摘要：
弗拉德金-申克定理证明了在一个将希格斯玻色子与约束态连接起来的区域中的解析性，排除了相变。这与一个更简单的分析论证相冲突，该论证适用于任何需要相图分叉的破缺相变。在弗拉德金-申克和相关的Osterwalder-Seiler证明中发现了一个缺陷，消除了这个悖论。希格斯和禁闭区到处都被相界隔开。引入了一个新的序参量，使得这种转变可以用蒙特卡罗模拟来追踪，而不需要规范固定。
英文摘要：
The Fradkin-Shenker theorem proves analyticity in a region that connects Higgs to confinement regimes, precluding a phase transition. This conflicts with a simpler analyticity argument applicable to any symmetry-breaking phase transition that requires the phase diagram to be bifurcated. A flaw in the Fradkin-Shenker and related Osterwalder-Seiler proofs is found which removes this paradox. Higgs and Confinement regions are everywhere separated by a phase boundary. A new order parameter allowing this transition to be traced with Monte-Carlo simulations without gauge fixing is introduced.
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