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arXiv 1008.2648hep-thhep-lat
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从有效弦action对Nambu-Goto能级的修正

Corrections to Nambu-Goto energy levels from the effective string action

Ofer Aharony, Nizan Klinghoffer

摘要:

长弦上的有效作用量,例如纯杨-米尔斯理论中的约束弦,可以用南武-后藤作用量很好地近似,但这个作用量不可能是精确的。洛伦兹不变性所允许的对这个作用(在静态规范中的长弦展开)的主要可能修正,最近被发现,对闭弦和开弦都是如此。在本文中,我们计算显式的哈密顿形式主义的最低的南武-后藤能级在这两种情况下的领先的修正,并验证它们是一致的,与以前计算的有效弦配分函数。对于长度为R的开弦,超前修正是1/R^4阶,对于D>3时空维中长度为R的受激闭弦,超前修正是1/R^5阶,而对于任意维中闭弦的基态,超前修正是1/R^7阶。我们试图将我们的闭弦修正与晶格结果相匹配,但后者仍然大多在我们使用的1/R展开的收敛范围之外。

英文摘要:

The effective action on long strings, such as confining strings in pure Yang-Mills theories, is well-approximated by the Nambu-Goto action, but this action cannot be exact. The leading possible corrections to this action (in a long string expansion in the static gauge), allowed by Lorentz invariance, were recently identified, both for closed strings and for open strings. In this paper we compute explicitly in a Hamiltonian formalism the leading corrections to the lowest-lying Nambu-Goto energy levels in both cases, and verify that they are consistent with the previously computed effective string partition functions. For open strings of length R the leading correction is of order 1/R^4, for excited closed strings of length R in D>3 space-time dimensions it is of order 1/R^5, while for the ground state of the closed string in any dimension it is of order 1/R^7. We attempt to match our closed string corrections to lattice results, but the latter are still mostly outside the range of convergence of the 1/R expansion that we use.

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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