Baryons from supergravity
Baryons from supergravity
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来自超重力的重子
DOI：
10.1088/1126-6708/1998/07/020
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发表时间：
1998
影响因子：
5.4
通讯作者：
S. Yankielowicz
中科院分区：
文献类型：
--
作者：
A. Brandhuber;N. Itzhaki;Jacob Sonnenschein;S. Yankielowicz
我们沿着Witten以及Gross和Ooguri最近提出的路线，研究了通过超引力构造重子的过程。我们计算重子的能量作为其大小的函数。正如预期的那样，能量与N呈线性关系。对于非超对称理论(三维和四维)，我们发现了一个线性关系，这是禁闭的一个标志。对于=4理论，我们得到结果(EL=-const.)它与共形不变性是兼容的。令人惊讶的是，我们的计算表明，当N≥k≥5N/8时，存在k夸克的束缚态。我们还研究了=4理论，并在有限温度下发现了小尺寸重子的零温行为，以及相对于热波长较大的重子的屏蔽行为。
We study the construction of baryons via supergravity along the line suggested recently by Witten and by Gross and Ooguri. We calculate the energy of the baryon as a function of its size. As expected the energy is linear with N. For the non-supersymmetric theories (in three and four dimensions) we find a linear relation which is an indication of confinement. For the = 4 theory we obtain the result (EL = - const.) which is compatible with conformal invariance. Surprisingly, our calculation suggests that there is a bound state of k quarks if N ≥ k ≥ 5N/8. We study the = 4 theory also at finite temperature and find the zero temperature behavior for small size of the baryon, and screening behavior for baryon, whose size is large compared to the thermal wavelength.