Contribution of higher gluon condensates to light-quark vacuum polarization

1987 ◽  
Vol 33 (3) ◽  
pp. 419-425 ◽  
Author(s):  
A. G. Grozin ◽  
Yu. F. Pinelis
2019 ◽  
Author(s):  
Thomas Blum ◽  
Christopher Aubin ◽  
Maarten Golterman ◽  
Chulwoo Jung ◽  
Santiago Paris ◽  
...  

1986 ◽  
Vol 166 (4) ◽  
pp. 429-435 ◽  
Author(s):  
A.G. Grozin ◽  
Yu.F. Pinelis

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
Christopher Aubin ◽  
Thomas Blum ◽  
Cheng Tu ◽  
Maarten Golterman ◽  
Chulwoo Jung ◽  
...  

1995 ◽  
Vol 10 (24) ◽  
pp. 3497-3529 ◽  
Author(s):  
A.G. GROZIN

Although the methods of calculation of power corrections in QCD sum rules are well known, algebraic complexity rapidly grows with the increase of vacuum condensates’ dimensions. Currently, state-of-the-art calculations include dimension 7 and 8 condensates. I summarize and extend algorithms of such calculations. First, I present all the formulae necessary for application of the systematic classification of bilinear quark condensates proposed earlier, and extend this method to the case of gluon condensates. Then I apply these systematic procedures to expansions of bilinear and noncollinear quark and gluon condensates in local ones, and of noncollinear condensates in bilocal ones. The formulae obtained can be used for calculation of correlators involving non-local condensates, and for inventing consistent ansätze for these condensates. Finally, I summarize the methods of calculation of heavy and light quark currents’ correlators. This paper aims both to present new results on gluon and nonlocal condensates and to be a self-contained handbook of formulae necessary for calculation of power corrections in QCD sum rules.


1999 ◽  
Vol 30 (1) ◽  
pp. 1
Author(s):  
O. A. Zaı̆midoroga
Keyword(s):  

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Luke Gayer ◽  
Nicolas Lang ◽  
Sinéad M. Ryan ◽  
David Tims ◽  
Christopher E. Thomas ◽  
...  

Abstract Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6 fm)3 and with a light quark mass corresponding to mπ ≈ 239 MeV. The spectrum of the elastic Dπ energy region is computed yielding 20 energy levels. Using the Lüscher finite-volume quantisation condition, these energies are translated into constraints on the infinite-volume scattering amplitudes and hence enable us to map out the energy dependence of elastic Dπ scattering. By analytically continuing a range of scattering amplitudes, a $$ {D}_0^{\ast } $$ D 0 ∗ resonance pole is consistently found strongly coupled to the S-wave Dπ channel, with a mass m ≈ 2200 MeV and a width Γ ≈ 400 MeV. Combined with earlier work investigating the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , and $$ {D}_0^{\ast } $$ D 0 ∗ with heavier light quarks, similar couplings between each of these scalar states and their relevant meson-meson scattering channels are determined. The mass of the $$ {D}_0^{\ast } $$ D 0 ∗ is consistently found well below that of the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , in contrast to the currently reported experimental result.


2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Jonathan Wernersson ◽  
Jochen Zahn
Keyword(s):  

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Matteo Becchetti ◽  
Roberto Bonciani ◽  
Vittorio Del Duca ◽  
Valentin Hirschi ◽  
Francesco Moriello ◽  
...  

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