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arXiv 0901.0949hep-th
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平均场方法应用于新世界片场论:弦的形成

Mean Field Method Applied To The New World Sheet Field Theory: String Formation

Korkut Bardakci

摘要:

本文是在前一篇文章的基础上发展起来的,在前一篇文章中,我们提出了世界片上的第二种量子化场论,用于对φ ^3理论的平面图求和。在这个早期的工作中,模型的基态是用变分近似确定的。在这里,我们从相同的世界片理论出发,而不是使用平均场方法来计算的基态,并发现与变分计算的结果一致。平均场方法除了可以检验变分计算外,还可以使我们超越基态计算模型的激发态。这些状态的谱是一个具有线性轨道的弦,加上一个从更高能量开始的连续谱。我们表明,通过适当地调整模型的参数,弦谱可以干净地从连续谱中分离出来。

英文摘要:

The present article is based on a previous one, where a second quantized field theory on the world sheet for summing the planar graphs of phi^3 theory was developed. In this earlier work, the ground state of the model was determined using a variational approximation. Here, starting with the same world sheet theory, we instead use the mean field method to compute the ground state, and find results in agreement with the variational calculation. Apart from serving as a check on the variational calculation, the mean field method enables us to go beyond the ground state to compute the excited states of the model. The spectrum of these states is that of a string with linear trajectories, plus a continuum that starts at higher energy. We show that, by appropriately tuning the parameters of the model, the string spectrum can be cleanly seperated from the continuum.

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。

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