三角推广的Cornell势与解除禁闭
Trigonometrically extended Cornell potential and deconfinement
摘要：
有效场论的非微扰方法，如格点量子色动力学，已经允许在量子色动力学拉格朗日模型和夸克势模型之间建立联系，一个突出的成果是康奈尔（线性加库仑）势。在解释重味强子（无论是夸克偶素还是重子）的性质方面，这种势相当成功，但在描述非奇异重子、核子和德尔塔时，这种势就不那么引人注目了。这表明单胶子交换和流管相互作用不能完全解释三个轻夸克动力学的复杂性。最近，我们把无限程的Cornell势提升到精确可解的有限程三角势上，它插在距离倒数势和无限阱之间，并通过一个线性增长区域，这是它在Taylor级数分解中包含距离倒数和线性势作为第一项的原因。我们在这里首先指出，升级的康奈尔势可以被看作是弯曲空间上平坦空间1/r势的精确对应物，这种情况使它具有两个同时对称性SO（4）和SO（2，1）。这些允许放置在AdS_5/CFT对应的上下文中的三角约束势，从而建立后者的代数方面的联系QCD势。接下来，我们报告说，上述潜力时，在夸克双夸克系统中，提供了一个非常充分的描述核子和德尔塔光谱和质子的均方电荷半径，以及，而且意味着一个有趣的场地夸克解除禁闭关闭的曲率被认为是温度依赖。
英文摘要：
Non-perturbative methods of effective field theory such like Lattice QCD have allowed to establish connection between the QCD Lagrangian and quark potential models, a prominent outcome being the Cornell (linear plus Coulomb) potential. In being quite successful in explaining properties of heavy flavor hadrons, be them quarkonia or baryons, this potential has been found less spectacular in the description of the non-strange baryons, the nucleon and the Delta. This behavior indicates that the one-gluon exchange and the flux-tube interaction do not fully account for the complexity of the dynamics of three light quarks. Very recently, the Cornell potential which is of infinte range has been upgraded by us toward an exactly solvable trigonometric potential of finite range that interpolates between the inverse-distance potential and the infinite wells while passing through a region of linear growth, a reason for which it contains the inverse distance and the linear potentials as first terms in its Taylor series decomposition. We here first make the point that the upgraded Cornell potential can be viewed as the exact counterpart on a curved space to a flat space 1/r potential, a circumstance that equips it by two simultaneous symmetries, SO(4), and SO(2,1). These allow to place the trigonometric confinement potential in the context of AdS_5/CFT correspondence and thus to establish the link of the algebraic aspects of the latter to QCD potentiology. Next we report that the above potential when employed in the quark-diquark system, provides a remarkably adequate description of both nucleon and Delta spectra and the proton mean square charge radius as well, and moreover implies an intriguing venue toward quark deconfinement as shut-down of the curvature considered as temperature dependent.
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