格子上飞行介子的螺旋度算符
Helicity operators for mesons in flight on the lattice
摘要：
为了研究格点量子色动力学中的共振现象，我们构造了一组具有确定相对动量的介子-介子算符。这些运营商遵循从俯冲运营商的明确螺旋到不可约表示适当的小团体。我们显示了它们的有效性，在显式计算中，我们发现，这些运营商插入的状态的频谱是接近对角线的螺旋度，承认在单介子状态的确定J^{PC}的描述。变分确定的最佳叠加的运营商为每个国家提供快速放松在欧几里德时间的状态，理想的介子介子运营商的建设和评价矩阵元素在有限的动量。
英文摘要：
Motivated by the desire to construct meson-meson operators of definite relative momentum in order to study resonances in lattice QCD, we present a set of single-meson interpolating fields at non-zero momentum that respect the reduced symmetry of a cubic lattice in a finite cubic volume. These operators follow from the subduction of operators of definite helicity into irreducible representations of the appropriate little groups. We show their effectiveness in explicit computations where we find that the spectrum of states interpolated by these operators is close to diagonal in helicity, admitting a description in terms of single-meson states of identified J^{PC}. The variationally determined optimal superpositions of the operators for each state give rapid relaxation in Euclidean time to that state, ideal for the construction of meson-meson operators and for the evaluation of matrix elements at finite momentum.
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