标题： de Sitter时空中的加速诱导去禁闭转变 显示英文标题

标题： Acceleration-Induced Deconfinement Transitions in de Sitter Spacetime

摘要： 在这篇短文中，我们考虑定义于$D=2,3,4$的限制性规范理论，这些理论由高维共形场论（具有引力对偶）的$S^2$或$T^2$紧化来定义。 我们研究了这些理论在de Sitter时空中的行为，作为哈勃参数的函数。 我们发现，在每种情况下，由球面欧几里得延拓定义的场论的de Sitter真空态都会在哈勃参数超过某一临界值时经历去禁闭转变。 在每种情况下，相应的临界de Sitter温度都比对应Minkowski空间的去禁闭温度低一个接近de Sitter时空维度大小的因素。 这种行为在定性和定量上都与最近arXiv:1007.3996中研究的由CFT的$S^1$紧化定义的限制性理论的行为相似。 显示英文摘要

摘要： In this note, we consider confining gauge theories in $D=2,3,4$ defined by $S^2$ or $T^2$ compactification of higher-dimensional conformal field theories with gravity duals. We investigate the behavior of these theories on de Sitter spacetime as a function of the Hubble parameter. We find that in each case, the de Sitter vacuum state of the field theory (defined by Euclidian continuation from a sphere) undergoes a deconfinement transition as the Hubble parameter is increased past a critical value. In each case, the corresponding critical de Sitter temperature is smaller than the corresponding Minkowski-space deconfinement temperature by a factor nearly equal to the dimension of the de Sitter spacetime. The behavior is qualitatively and quantitatively similar to that for confining theories defined by $S^1$ compactification of CFTs, studied recently in arXiv:1007.3996.