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SUMMARY:Renormalization of Supersymmetric QCD on the Lattice
DTSTART;VALUE=DATE-TIME:20170620T173000Z
DTEND;VALUE=DATE-TIME:20170620T183000Z
DTSTAMP;VALUE=DATE-TIME:20200222T202129Z
UID:indico-contribution-37@cern.ch
DESCRIPTION:Speakers: Dr. COSTA\, Marios (University of Cyprus)\nWe perfor
m a pilot study of the perturbative renormalization of a Supersymmetric ga
uge theory with matter fields on the lattice. As a specific example\, we c
onsider Supersymmetric N =1 QCD (SQCD). We study the self-energies of all
particles which appear in this theory\, as well as the renormalization of
the coupling constant. To this end we compute\, perturbatively to one-loop
\, the relevant two-point and three-point Green’s functions using both t
he dimensional and the lattice regularizations. Our lattice formulation in
volves the Wilson discretization for the gluino and quark fields\; for glu
ons we employ the Wilson gauge action\; for scalar fields (squarks) we use
naive discretization. The gauge group that we consider is SU(Nc)\, while
the number of colors\, Nc \, the number of flavors\, Nf \, and the gauge p
arameter\, α\, are left unspecified. We obtain analytic expressions for t
he renormalization functions of the coupling constant (Zg) and of the quar
k (Zψ)\, gluon (Zu)\, gluino (Zλ)\, squark (ZA± )\, ghost (Zc) fields\,
on the lattice. We also compute the critical values of the gluino\, quark
and squark masses. Finally\, we address the mixing which occurs among squ
ark degrees of freedom beyond tree level: we calculate the corresponding m
ixing matrix\nwhich is necessary in order to disentangle the components of
the squark field via an additional finite renormalization.\n\nhttps://mak
ondo.ugr.es/event/0/session/24/contribution/37
LOCATION:Palacio de Congresos
URL:https://makondo.ugr.es/event/0/session/24/contribution/37
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