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开玻色子弦的规范不变量Action：快子Action

Gauge Invariant Action for the Open Bosonic String: Tachyon Action

B. Sathiapalan

备注：
31 pages, Latex
发表信息：
JHEP 0907:045,2009
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摘要：

开玻色弦的规范不变作用量在早期的论文中已经提出。我们工作的最低模式，即。快子的这一建议的后果。在快子场中，一般动量的作用量可以通过微扰一阶一阶地计算出来。对于壳层快子，我们明确地计算了立方作用量，并表明它再现了正确的运动方程，与$β$函数符合所需的阶数。计算是在具有有限截止的裸场中进行的，这是原始的规定。我们还表明，在某些动量区域，有可能重整化理论，消除截止依赖，使连续极限可以采取。重整化后，参数$R\over a$被$R\over L$替换，其中$R$是IR截止值，$a$是UV截止值，而$L$是某种重整化尺度。由于正则化方案的选择，整体归一化也有一些任意性-这不会影响壳层上的量。我们也重新推导在这个计划中，在零动量的区域，这给出了确切的（树级）快子潜力的行动。快子势与森的猜想一致，即势的高度与膜的张力相同。

英文摘要：

A gauge invariant action for the open bosonic string has been proposed in an earlier paper. We work out the consequences of this proposal for the lowest mode, viz. the tachyon. The action can be calculated for generic momenta, perturbatively, order by order in the tachyon field. For on shell tachyons we explicitly calculate the cubic action and show that it reproduces the correct equations of motion and coincides wih the $β$ function to the required order. The calculation is done in terms of bare fields with a finite cutoff, which is the original prescription. We also show that it is possible in some momentum regions to renormalize the theory and eliminate the cutoff dependence so that the continuum limit can be taken. After renormalization, the parameter $R\over a$ is replaced by $R\over L$ where $R$ is an IR cutoff, $a$ is the UV cutoff and $L$ is some renormalization scale. There is also some arbitrariness in the overall normalization due to the choice of regularization scheme - this does not affect on-shell quantities. We also rederive within this scheme, the action in the region of zero momentum, which gives the exact (tree level) tachyon potential. The tachyon potential is consistent with Sen's conjecture that the height of the potential is the same as the tension of the brane.

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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