Vector, axial, tensor, and pseudoscalar vacuum susceptibilities

Abstract

Using a recently developed three-point formalism within the method of QCD Sum Rules we determine the vacuum susceptibilities needed in the two-point formalism for the coupling of axial, vector, tensor and pseudoscalar currents to hadrons. All susceptibilities are determined by the space-time scale of condensates, which is estimated from data for deep inelastic scattering on nucleons.

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

“…It is obvious that this calculation depends on the rainbow-ladder approximation of the DSEs approach. In the literature, there are few theoretical studies related to the vector and axial-vector vacuum susceptibilities, among them, L. S. Kisslinger determined them using a three-point formalism within the method of QCD sum rules [15], M. Harada et al discussed the effective degrees of freedom at chiral restoration and the vector manifestation in hidden local symmetry theory [125], and K. Jo et al calculated vector susceptibility and QCD phase transition in anti-de Sitter (AdS)/QCD models [126]. In the following, we will show how the authors of Ref.…”

“…For the theoretical studies of the scalar and the following pseudo-scalar vacuum susceptibilities using the QCD sum rules, please refer to Ref. [15].…”

“…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].…”

Basic treatment of QCD phase transition bubble nucleation

“…where we make use of the study [27] of the vector vacuum susceptibility defined by the three-point function,…”

Modified approach for calculating axial vector vacuum susceptibility

“…In particular, the strong and parityviolating pion-nucleon coupling depends crucially upon the π susceptibility [6]. Tensor susceptibility of the vacuum [7][8][9][10][11][12] is relevant for the determination of the tensor charge of the nucleon [13]. Recently, we have derived an expression for the vacuum susceptibility using the method of differentiating the dressed quark propagator with respect to a constant external field [14].…”