Finite temperature sum rules in the vector channel at finite momentum

有限温度かつ有限運動量におけるベクター・チャンネルの和則

Gubler, P. ; 佐藤 大輔*

Gubler, P.; Sato, Daisuke*

本論文ではベクター・チャンネルのlongitudinalとtransverse成分に関する厳密な和則を初めて導出する。和則は真空成分を差し引かれた有限温度のスペクトル関数について導出され、以前調べたゼロ運動量の場合の一般化である。論文の後半では導出した和則はいかにして格子QCDデータを使ったスペクトル関数の特定に用いることができるかを示す。

Exact sum rules for the longitudinal and transverse part of the vector channel spectral functions at nonzero momentum are derived in the first part of the paper. The sum rules are formulated for the finite temperature spectral functions, from which the vacuum component has been subtracted, and represent a generalization of previous work in which sum rules were derived only for the zero-momentum limit. In the second part of the paper, we demonstrate how the sum rules can be used as constraints in spectral fits to lattice data at various temperatures, with the latest dynamical lattice quantum chromodynamics data at zero momentum.