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Journals and Conferences
We extend the Wilson renormalization group (RG) to supersymmetric theories. As this regularization scheme preserves supersymmetry, we exploit the superspace technique. To set up the formalism we first derive the RG flow for the massless Wess-Zumino model and deduce its perturbative expansion. We then consider N=1 supersymmetric Yang-Mills and show that the… (More)
A cutoff regularization for a pure Yang-Mills theory is implemented within the background field method keeping explicit the gauge invariance of the effective action. The method has been applied to compute the beta function at one loop order.
A lattice formulation of the four dimensional Wess-Zumino model that uses Ginsparg-Wilson fermions and keeps exact supersymmetry is presented. The supersymmetry transformation that leaves invariant the action at finite lattice spacing is determined by performing an iterative procedure in the coupling constant. The closure of the algebra, generated by this… (More)
A new proof of perturbative renormalizability and infrared finiteness for a scalar massless theory is obtained from a formulation of renormalized field theory based on the Wilson renormalization group. The loop expansion of the renormalized Green functions is deduced from the Polchinski equation of renormalization group. The resulting Feynman graphs are… (More)
The major obstacle in formulating a supersymmetric theory on the lattice arises from the fact that the supersymmetry algebra is actually an extension of the Poincaré algebra, which is explicitly broken by the lattice. Indeed, in an interacting theory, translation invariance is broken since the Leibniz rule is not valid for lattice derivatives . We know… (More)
We extend the Wilson renormalization group (RG) formulation to chiral gauge theories and show that local gauge symmetry can be implemented by a suitable choice of the RG flow boundary conditions. Since the space-time dimension is four, there is no ambiguity in handling the matrix γ5 and left and right fermions are not coupled. As a result the ultraviolet… (More)
In the exact renormalization group (RG) flow in the infrared cutoff Λ one needs boundary conditions. In a previous paper on SU(2) Yang-Mills theory we proposed to use the nine physical relevant couplings of the effective action as boundary conditions at the physical point Λ = 0 (these couplings are defined at some non-vanishing subtraction point μ 6= 0). In… (More)
The most relevant results include the increasingly detailed correspondence between states in this theory with string states on AdS5×S, the technical improvements in the evaluation of the anomalous dimension of operators which led to the discovery of quantum integrability, some unexpected relations with high energy sectors of quantum chromodynamics. We… (More)
By using the exact renormalization group formulation we prove perturbatively the Slavnov-Taylor (ST) identities in SU(2) Yang-Mills theory. This results from two properties: locality, i.e. the ST identities are valid if their local part is valid; solvability, i.e. the local part of ST identities is valid if the couplings of the effective action with… (More)
We use the Wilson renormalization group (RG) formulation to solve the fine-tuning procedure needed in renormalization schemes breaking the gauge symmetry. To illustrate this method we systematically compute the non-invariant couplings of the ultraviolet action of the SU(2) pure Yang-Mills theory at one-loop order.