We study the N = 1 supersymmetric gauge theories with Nf flavors of quarks in the fundamental vector representation. We find dynamically generated superpotentials, smooth quantum moduli space, quantum moduli space with additional mesons, non trivial IR fixed points. E-mail [email protected], [email protected], 31890::I PESANDO Work supported by the EU grant ERB4001GT930141.

A new algorithm for simulating compact U(1) lattice gauge theory in three dimensions is presented which is based on global changes in the configuration space. We show that this algorithm provides an effective way to extract partition functions at given external flux. As an application, we study numerically the finite temperature deconfinement phase transition.

We are entering an era where a number of large-scale lattice simulations of four-dimensional supersymmetric theories are under way. Moreover, proposals for how to approach such studies continue to progress. One particular line of research in this direction is described here. General actions for super-QCD, including counterterms required on the lattice, are given. We obtain the number of fine-tu...

We determine the low-energy N = (0, 2) worldsheet dynamics of vortex strings in a large class of non-Abelian N = 1 supersymmetric gauge theories.

We study the Abelian and non-Abelian action density near the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles belonging to the percolating cluster decreases when we approach the monopole center. Our estimate of the monopole radius is R ≈ 0.04 fm.

We examine the relation between supersymmetric lattice gauge theories constructed by the link approach and by orbifolding and show that they are equivalent. We discuss the number of preserved supersymmetries. [email protected] [email protected]

We construct a supermatrix model whose classical background gives two-dimensional noncommutative supersphere. Quantum fluctuations around it give the supersymmetric gauge theories on the fuzzy supersphere constructed by Klimcik. This model has a parameter β which can tune masses of the particles in the model and interpolate various supersymmetric gauge theories on sphere.

We look at the continuum limit of the two universal predictions of the hadronic string theory namely the Lüscher term and the energy difference between successive energy states in three dimensional SU(2) lattice gauge theory using Wilson loops and Polyakov loop correlators. We also compare our simulation data with the theoretical predictions in [10].