Lattice2010

Undefined control sequence \aplha perturbative Green's functions of the fermion propagator, and of local and extended fermion bilinear operators, with Symanzik improved gluons and SLiNC fermions.

15 Jun 2010, 18:00

2h

Villasimius, Sardinia

Standard model parameters and renormalization Poster session

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 $\overline{\mathrm{\Psi }}\mathrm{\Psi }$ - Local fermion bilinear operators $\overline{\mathrm{\Psi }}\mathrm{\Gamma }\mathrm{\Psi }$ - Extended fermion bilinear operators $\overline{\mathrm{\Psi }}{\mathrm{\Gamma }}_{\{\mu }{\overleftrightarrow{D}}_{\nu \}}\mathrm{\Psi }$ where $\mathrm{\Gamma }$ corresponds to the Dirac operators and $\overleftrightarrow{D}=\frac{1}{2}(\overrightarrow{D}-\overleftarrow{D})$, 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.