scholarly journals OPE of Green functions of chiral currents

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Tomáš Kadavý ◽  
Karol Kampf ◽  
Jiří Novotný

Abstract In this paper, we investigate the high-energy behavior of two-point and three-point Green functions of the QCD chiral currents and densities using the framework of the operator product expansion in the chiral limit. In detail, we study the contributions of the quark, gluon, quark-gluon and four-quark condensates to all the relevant non-vanishing three-point correlators.

2019 ◽  
Vol 199 ◽  
pp. 05025
Author(s):  
Tomáš Kadavý ◽  
Karol Kampf ◽  
Jiří Novotný

A framework of operator product expansion (OPE) allows us to study high-energy behaviour of Green functions. A calculation of such Green functions within chiral perturbation theory (χPT) or resonance chiral theory (RχT) and subsequent matching of the result to the OPE enables us to determine constraints for unknown parameters of the effective theories. We present such procedure for Green functions in the odd-intrinsic parity sector of QCD.


2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Matthew Dodelson ◽  
Hirosi Ooguri

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Giovanni Antonio Chirilli

Abstract The high energy Operator Product Expansion for the product of two electromagnetic currents is extended to the sub-eikonal level in a rigorous way. I calculate the impact factors for polarized and unpolarized structure functions, define new distribution functions, and derive the evolution equations for unpolarized and polarized structure functions in the flavor singlet and non-singlet case.


1972 ◽  
Vol 6 (9) ◽  
pp. 2483-2487
Author(s):  
Michael Creutz

1989 ◽  
Vol 326 (1) ◽  
pp. 73-107 ◽  
Author(s):  
David J. Gross ◽  
J.L. Mañes

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