Georg Bergner

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We present the current results of our simulations of N = 1 supersymmetric Yang-Mills theory on a lattice. The masses of the gluino-glue particle, the a–η, the a–f0 meson, and the scalar glueball are obtained at finer lattice spacing than before, and extrapolations towards vanishing gluino mass are made. The calculations employ different levels of stout(More)
In this paper, we present a method for the computation of the low-lying real eigenvalues of the Wilson-Dirac operator based on the Arnoldi algorithm. These eigenvalues contain information about several observables. We used them to calculate the sign of the fermion determinant in oneflavor QCD and the sign of the Pfaffian in N = 1 super Yang-Mills theory.(More)
We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action. We solve the flow equation nonperturbatively in a systematic supercovariant derivative expansion and concentrate on systems with unbroken supersymmetry. Already at next-to-leading(More)
We study lattice formulations of the two-dimensional N = 2 Wess-Zumino model with a cubic superpotential. Discretizations with and without lattice supersymmetries are compared. We observe that the “Nicolai improvement” introduces new problems to simulations of the supersymmetric model. With high statistics we check the degeneracy of bosonic and fermionic(More)
We study lattice formulations of the two-dimensional N = 2 Wess-Zumino model with a cubic superpotential. Discretizations with and without lattice supersymmetries are compared. We observe that the “Nicolai improvement” introduces new problems to simulations of the supersymmetric model. With high statistics we check the degeneracy of bosonic and fermionic(More)
Supersymmetry provides a well-established theoretical framework for extensions of the standard model of particle physics and the general understanding of quantum field theories. We summarise here our investigations of N = 1 supersymmetric Yang-Mills theory with SU(2) gauge symmetry using the non-perturbative first-principles method of numerical lattice(More)
We study and simulate N = 2 supersymmetric Wess-Zumino models in one and two dimensions. For any choice of the lattice derivative, the theories can be made manifestly supersymmetric by adding appropriate improvement terms corresponding to discretizations of surface integrals. In particular, we check that fermionic and bosonic masses coincide and the(More)
We introduce a lattice symmetry relation for field theories with general linear symmetries. For chiral symmetry the well-known Ginsparg-Wilson relation is reproduced. The new relation encodes the remnant of the original symmetry on the lattice and guides the construction of invariant lattice actions. We apply this approach to lattice supersymmetry. There,(More)
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