Tensor susceptibility of the QCD vacuum from an effective quark–quark interaction

Abstract

Treating the bilocal quark-quark interaction kernel as an input parameter, the self-energy functions can be determined from the "rainbow" Dyson-Schwinger equation, which is obtained in the global color symmetry model. The tensor susceptibility of QCD vacuum can be calculated directly from these self-energy functions. The values we obtained are much smaller than the estimations from QCD sum rules and from chiral constituent quark model.

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

“…Broniowski et al (1998) got -(0.0083 ∼ 0.0104) GeV 2 using the chiral constituent model [14], and H. T. Yang et al (2003) got -(0.0014 ∼ 0.0020) GeV 2 within global color symmetry model [17]. Clearly, in order to get a reliable theoretical prediction of the tensor charge, we should determine the tensor vacuum susceptibility as precise as possible.…”

“…In the QCD sum rules external field formula, QCD vacuum susceptibilities play important roles in determining the hadron properties [2,3,5,6]. For example, the strong and parity-violating pion-nucleon coupling depends crucially upon the vacuum susceptibilities of pion [7,8], and the tensor vacuum susceptibility is closely related to the tensor charge of nucleon [9,10,11,12,13,14,15,16,17]. The nonlinear susceptibilities are also found to be correlated with the cumulant of baryon-number fluctuations in experiments [18,19,20,21,22].…”