振荡子谱学
Oscillon spectroscopy
AI总结：
本文研究3+1维sine-Gordon模型的振荡子谱，发现带节点的高振幅球对称新态，并揭示其不稳定碎裂行为及重无节点振荡子的相对论性束缚态特性。
摘要：
已知3+1维中的sine-Gordon模型存在两个能量和频率不同但寿命相当的振荡子。我们证明振荡子谱包含更多球对称“态”。通过允许场剖面具有若干节点，我们识别出新的高振幅振荡子。对于每个节点数，我们发现2个与无节点振荡子寿命相当的态。然而，有节点的振荡子对非球对称扰动不稳定，因此其寿命显著缩短。有趣的是，这些态被观察到碎裂为一组无节点振荡子。重的无节点振荡子相当引人注目：尽管能量很高，它对碎裂是稳定的。此外，它具有相当小的振荡频率，这意味着它可以被解释为一个相当相对论性的束缚态。
英文摘要：
The sine-Gordon model in 3+1 dimensions is known to admit two oscillons of different energy and frequency but comparable lifetime. We show that the oscillon spectrum includes more spherically symmetric ``states''. We identify new high-amplitude oscillons by allowing the field profile to have a number of nodes. For each number of nodes, we find 2 states with a comparable lifetime to the nodeless ones. Oscillons with nodes are, however, unstable to non-spherical perturbations and so their lifetime is significantly reduced. Interestingly, these states are seen to fragment into a collection of nodeless oscillons. The heavy nodeless oscillon is quite remarkable: despite its energy it is stable against fragmentation. Moreover, it has considerably small oscillation frequency, meaning that it can be interpreted as a rather relativistic bound state.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
