快子凝聚、洛仑兹群的卡罗收缩和基本弦
Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings
摘要:
我们研究了规范场存在下的滚动快子凝聚。一般的真空允许两个滚动快子,\dot{T},和一个均匀的电场,\vec{E},它们共同影响有效度规支配的开弦模式的波动。如果完全抑制规范场,光锥就会完全坍缩。这就是卡罗极限,光速消失,信号不可能传播。然而,在存在规范场的情况下,光锥被压缩成扇形,使得信号以|E| =<1的速度沿着\pm \vec{E}的方向传播。这表明,存在沿电通量线传播的扰动自由度。这样的因果行为似乎是一个非常普遍的特点快子有效拉格朗日跑道潜力。我们推测这可能与基本弦的出现有关。
英文摘要:
We study the rolling tachyon condensate in the presence of a gauge field. The generic vacuum admits both a rolling tachyon, \dot{T}, and a uniform electric field, \vec{E}, which together affect the effective metric governing the fluctuations of open string modes. If one suppresses the gauge field altogether, the light-cone collapses completely. This is the Carrollian limit, with vanishing speed of light and no possible propagation of signals. In the presence of a gauge field, however, the lightcone is squeezed to the shape of a fan, allowing propagation of signals along the direction of \pm \vec{E} at speed |E|=<1. This shows that there are perturbative degrees of freedom propagating along electric flux lines. Such causal behavior appears to be a very general feature of tachyon effective Lagrangian with runway potentials. We speculate on how this may be connected to appearance of fundamental strings.
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