次超前势长距离行为的有效弦论约束
Effective string theory constraints on the long distance behavior of the subleading potentials
摘要：
在强耦合区中，重夸克偶素系统的动力学简化为一个量子力学问题，其中有许多可以以1/m的幂来组织的势，m是重夸克的质量。势必须非微扰地计算，例如在格点量子色动力学中。众所周知，有效弦论可以很好地再现静态（1/m^0）势的长距离行为。我们表明，这种有效的弦论，如果正确的话，也应该重现所有1/m抑制电位的长距离行为。我们证明了这一结果的实际用途，找到一个合适的参数化最近计算的1/m潜力。我们还计算了1/m^2速度相关势和自旋相关势。一旦实现庞加莱不变性，大部分自旋无关势的形状完全预测的弦张力，和自旋相关的形状的一个单一的参数。
英文摘要：
The dynamics of heavy quarkonium systems in the strong coupling regime reduces to a quantum mechanical problem with a number of potentials which may be organized in powers of 1/m, m being the heavy quark mass. The potentials must be calculated non-perturbatively, for instance in lattice QCD. It is well known that the long distance behavior of the static (1/m^0) potential is well reproduced by an effective string theory. We show that this effective string theory, if correct, should also reproduce the long distance behavior of all 1/m suppressed potentials. We demonstrate the practical usefulness of this result by finding a suitable parameterization of the recently calculated 1/m potential. We also calculate the 1/m^2 velocity dependent and spin dependent potentials. Once Poincaré invariance is implemented, the shapes of most of the spin independent potentials are fully predicted in terms of the string tension, and the shapes of the spin dependent ones in terms of a single parameter.
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