论文标题
通用晶体的量子校正：DBI，NLSM等
Quantum Corrections to Generic Branes: DBI, NLSM, and More
论文作者
论文摘要
我们研究了嵌入在通用高维间距中的尺寸$ d+1> 2 $的高度曲面的量子校正。在整个分析过程中保持了明显的协方差，我们的方法对于任意共同量和任意体积度量有效。在现代振幅文献中很突出的各种理论都以特殊的限制出现：狄拉克出生式传播理论及其多场变体的标量领域，以及通用的非线性Sigma模型及其扩展。我们明确的单循环结果将所有此类模型的领先校正结合在单个伞下。与幼稚的计算相反，这些计算产生了有效的动作，似乎违反了其经典对应物的非线性对称性，我们的有效方法在各个阶段都保持了明显的协方差，并使量子动作的对称性变得清晰。我们在紧凑的结构和其他方法之间提供了明确的比较，并证明了表面上不同的结果之间的最终物理等效性。
We study quantum corrections to hypersurfaces of dimension $d+1>2$ embedded in generic higher-dimensional spacetimes. Manifest covariance is maintained throughout the analysis and our methods are valid for arbitrary co-dimension and arbitrary bulk metric. A variety of theories which are prominent in the modern amplitude literature arise as special limits: the scalar sector of Dirac-Born-Infeld theories and their multi-field variants, as well as generic non-linear sigma models and extensions thereof. Our explicit one-loop results unite the leading corrections of all such models under a single umbrella. In contrast to naive computations which generate effective actions that appear to violate the non-linear symmetries of their classical counterparts, our efficient methods maintain manifest covariance at all stages and make the symmetry properties of the quantum action clear. We provide an explicit comparison between our compact construction and other approaches and demonstrate the ultimate physical equivalence between the superficially different results.
