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We investigate the two flavor chiral Gross-Neveu model in the Schrödinger functional on the lattice. The procedure necessary to recover chiral symmetry in the continuum limit of this model with Wilson fermions is discussed. We introduce several useful observables and present a first demonstration of the feasibility of Monte-Carlo simulations in this model.(More)
We present results on the mass of the nucleon and the ∆ using two dynamical degenerate twisted mass quarks. The evaluation is performed at four quark masses corresponding to a pion mass in the range of 690-300 MeV on lattices of size 2.1 fm and 2.7 fm. We check for cutoff effects by evaluating these baryon masses on lattices of spatial size 2.1 fm with(More)
We present results on the mass of the baryon octet and decuplet using two flavors of light dynam-ical twisted mass fermions. The strange quark mass is fixed to its physical value from the kaon sector in a partially quenched set up. Calculations are performed for light quark masses corresponding to a pion mass in the range 270-500 MeV and lattice sizes of(More)
We discuss the determination of the strong coupling α_{MS[over ¯]}(m_{Z}) or, equivalently, the QCD Λ parameter. Its determination requires the use of perturbation theory in α_{s}(μ) in some scheme s and at some energy scale μ. The higher the scale μ, the more accurate perturbation theory becomes, owing to asymptotic freedom. As one step in our computation(More)
We present results on the mass of the baryon octet and decuplet using two flavors of light dynam-ical twisted mass fermions. The strange quark mass is fixed to its physical value from the kaon sector in a partially quenched set up. Calculations are performed for light quark masses corresponding to a pion mass in the range 270-500 MeV and lattice sizes of(More)
We study the chiral Gross-Neveu model with Wilson fermions. In the framework of the Schrödinger functional we show that in general not only the bare mass has to be tuned to achieve chiral symmetry in the continuum, but also coupling constants multiplying chirally non-invariant four fermion terms. The strategy for fixing the parameters of the theory is(More)
We present results on the nucleon axial charge and the lowest moment x of the quark distribution using two degenerate flavors of light dynamical twisted mass fermions. The calculation is performed for pion masses in the range of 500 MeV to 300 MeV on a lattice of spatial size of about 2.1 fm.