Speaker
Apostolos Skouroupathis
(University of Cyprus, Department of Physics)
Description
In this work we compute the one-loop 1PI 2-point perturbative bare Green's functions of:
- The fermion propagator $\bar{\Psi} \Psi$
- Local fermion bilinear operators $\bar{\Psi} \Gamma \Psi$
- Extended fermion bilinear operators $\bar{\Psi} \Gamma_{\{\mu} \overleftrightarrow{D}_{\nu\}} \Psi$
where $\Gamma$ corresponds to the Dirac operators and $\overleftrightarrow{D} = \frac{1}{2}\left( \overrightarrow{D} - \overleftarrow{D} \right)$, in the lattice formulation of QCD. The calculation is carried out up to $O(\alpha_L^2)$ ($\alpha_L$: lattice spacing).
We employ the Symanzik improved gauge actions and stout link clover (SLiNC) fermions. Our results are given as a polynomial in $c_{SW}$ ($c_{SW}$: clover parameter) in terms of the bare coupling constant. The gauge parameter $\alpha$, the SLiNC parameter $\omega$, the Symanzik coefficients $c_i$, the fermion masses $m_i$ and the number of colors $N_c$ are kept as free parameters.
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Primary authors
Apostolos Skouroupathis
(University of Cyprus, Department of Physics)
Prof.
Haralambos Panagopoulos
(University of Cyprus, Department of Physics)
