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Search Results: 1 - 10 of 5375 matches for " Olivier Piguet "
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On the Role of Vector Supersymmetry in Topological Field Theory
Olivier Piguet
Physics , 1995,
Abstract: Vector supersymmetry is typical of topological field theory. Its role in the construction of gauge invariant quantities is explained, as well as its role in the cancellation of the ultraviolet divergences. The example of the Chern-Simons theory in three dimensions is treated in details.
Supersymmetry, Ultraviolet Finiteness and Grand Unification
Olivier Piguet
Physics , 1996,
Abstract: A general criterion is given for the vanishing of the beta-functions in N=1 supersymmetric gauge theories.
Supersymmetry, Supercurrent and Scale Invariance
Olivier Piguet
Physics , 1996,
Abstract: Contents: Generalities, Chiral supermultiplets, Super Yang-Mills theory, Superspace Feynman graphs, Renormalization, Supercurrent, Finite theories.
Introduction to Supersymmetric Gauge Theories
Olivier Piguet
Physics , 1997,
Abstract: In these lectures I present a basic introduction to supersymmetry, especially to N=1 supersymmetric gauge theories and their renormalization, in the Wess-Zumino gauge. I also discuss the various ways supersymmetry may be broken in order to account for the lack of exact supersymmetry in the actual world of elementary particles.
Ghost Equations and Diffeomorphism Invariant Theories
Olivier Piguet
Physics , 2000, DOI: 10.1088/0264-9381/17/18/314
Abstract: Four-dimensional Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the same type as found in the topological theories for Yang-Mills fields. A peculiar feature of the gravitational theory, characterized by diffeomorphism invariance, is a direct link of vector supersymmetry with the field equation of motion for the Faddeev-Popov ghost of diffeomorphisms.
Diffeomorphism Invariant Theories and Vector Supersymmetry
Olivier Piguet
Physics , 2000,
Abstract: Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the type encountered in the topological gauge theories. A peculiar feature of the gravitationel theory is the link of this vector supersymmetry with the field equation of motion of the Faddeev-Popov ghost associated to diffeomorphism invariance.
The Supercurrent Trace Identities of the N=1, D=4 Super-Yang-Mills Theory in the Wess-Zumino Gauge
Olivier Piguet,Sylvain Wolf
Physics , 1998, DOI: 10.1088/1126-6708/1998/04/001
Abstract: The supercurrent components of the N=1, D=4 Super-Yang-Mills theory in the Wess-Zumino gauge are coupled to the components of a background supergravitation field in the ``new minimal'' representation, in order to describe the various conservation laws in a functional way through the Ward identities for the diffeomorphisms and for the local supersymmetry, Lorentz and R-transformations. We also incorporate in the same functional formalism the supertrace identities, which leads however to a slight modification of the new minimal representation for supergravity, thus leading to a conformal version of it. The most general classical action obeying all the symmetry constraints is constructed.
On the finiteness of the BRS modulo-d cocycles
Olivier Piguet,Silvio P. Sorella
Physics , 1993, DOI: 10.1016/0550-3213(92)90652-R
Abstract: Ladders of field polynomial differential forms obeying systems of descent equations and corresponding to observables and anomalies of gauge theories are renormalized. They obey renormalized descent equations. Moreover they are shown to have vanishing anomalous dimensions. As an application a simple proof of the nonrenormalization theorem for the nonabelian gauge anomaly is given.
The Antighost Equation in N=1 Super-Yang-Mills Theories
Olivier Piguet,Silvio Paolo Sorella
Physics , 1995, DOI: 10.1016/0370-2693(95)01605-8
Abstract: The antighost equation valid for usual gauge theories in the Landau gauge, is generalized to the case of $N=1$ supersymmetric gauge theories in a supersymmetric version of the Landau gauge. This equation, which expresses the nonrenormalization of the Faddeev-Popov ghost field, plays an important role in the proof of the nonrenormalization theorems for the chiral anomalies.
Induced mass in N=2 super Yang-Mills theories
Sortelano A. Diniz,Olivier Piguet
Physics , 2002, DOI: 10.1088/1126-6708/2003/02/002
Abstract: The masses of the matter fields of N=2 Super-Yang-Mills theories can be defined as parameters of deformed supersymmetry transformations. The formulation used involves central charges for the matter fields. The explicit form of the deformed supersymmetry transformations and of the invariant Lagrangian in presence of the gauge supermultiplet are constructed. This works generalizes a former one, due to the same authors, which presented the free matter case.
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