标题： 关于D膜解的alpha'修正 显示英文标题

标题： On alpha'-corrections to D-brane solutions

摘要： 我们讨论由于相应低能有效作用量中的高阶导数项而导致的D膜解的领先修正。 我们开发了几种分析该问题的替代方法。 特别是，我们从一个有效的二维一维作用量中推导出球对称双块膜解的场方程，说明如何获得一阶方程，并讨论了几种其他方法。 我们对极端膜进行了积分，并以在最低阶解上评估高阶导数项的积分形式得到修正。 要获得完全显式的结果，需要知道所有领先的高阶导数修正，而目前这些修正尚不可用。 已知的高阶导数项之一是R^4项，我们仅由于该项获得了D3膜解的修正。 然而，我们注意到（目前未知）依赖于F_5的更高阶项预计会修改我们的结果。 我们分析了存在这些量子修正时膜解的热力学性质。 我们发现R^4项会对D3膜的张力和电势产生修正，但不会对其电荷产生修正，并且张力仍然与电势乘以电荷成正比。 在近视界极限下，修正后的解变为 AdS_5 \times S^5，具有与最低阶解相同的宇宙学常数，但有不同的（常数）稀释子值。 显示英文摘要

摘要： We discuss the computation of the leading corrections to D-brane solutions due to higher derivative terms in the corresponding low energy effective action. We develop several alternative methods for analyzing the problem. In particular, we derive an effective one-dimensional action from which the field equations for spherically symmetric two-block brane solutions can be derived, show how to obtain first order equations, and discuss a few other approaches. We integrate the equations for extremal branes and obtain the corrections in terms of integrals of the evaluation of the higher derivative terms on the lowest order solution. To obtain completely explicit results one would need to know all leading higher derivative corrections which at present are not available. One of the known higher derivative terms is the R^4 term, and we obtain the corrections to the D3 brane solution due to this term alone. We note, however, that (unknown at present) higher terms depending on F_5 are expected to modify our result. We analyze the thermodynamics of brane solutions when such quantum corrections are present. We find that the R^4 term induces a correction to the tension and the electric potential of the D3 brane but not to its charge, and the tension is still proportional to the electric potential times the charge. In the near-horizon limit the corrected solution becomes AdS_5 \times S^5 with the same cosmological constant as the lowest order solution but a different value of the (constant) dilaton.