Orientifold平面等价:猝灭介子谱
Orientifold Planar Equivalence: The Quenched Meson Spectrum
摘要:
本文对N= 2,3,4,6的SU(N)Yang-Mills理论中的定向折叠平面等价进行了数值研究。在赝标和矢量通道的反对称、对称和伴随表示中提取了猝灭介子质量。外推的矢量质量作为一个函数的赝标量质量的大N限制表明,数值结果同意误差范围内的三个理论,预测Orientifold平面等效。作为外推的一个副产品,估计了高达O(1/N^3)的校正的大小。外推的一个重要先决条件是在对称和反对称表示中的校正之间的分析关系的确定,顺序在1/N扩展。
英文摘要:
A numerical study of Orientifold Planar Equivalence is performed in SU(N) Yang-Mills theories for N=2,3,4,6. Quenched meson masses are extracted in the antisymmetric, symmetric and adjoint representations for the pseudoscalar and vector channels. An extrapolation of the vector mass as a function of the pseudoscalar mass to the large-N limit shows that the numerical results agree within errors for the three theories, as predicted by Orientifold Planar Equivalence. As a byproduct of the extrapolation, the size of the corrections up to O(1/N^3) are evaluated. A crucial prerequisite for the extrapolation is the determination of an analytical relationship between the corrections in the symmetric and in the antisymmetric representations, order by order in a 1/N expansion.
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