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Dynamical supersymmetry breaking and noncommutative quantum field theory

Grant number: 07/08604-1
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): April 01, 2008
Effective date (End): January 31, 2009
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal researcher:Adilson José da Silva
Grantee:André Carlos Lehum
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:05/59479-7 - Aspects of the quantum theory of non-commutative fields, AP.TEM


The presence of divergences is certainly one of the main characteristics of the quantum field theory. A way to treat these divergences is through the use of renormalization methods, another one is to look for finite quantum field theories. The hope to find such theories is strong related with Supersymmetry, that improves the ultraviolet behavior of the theories due to a cancellation between bosonic and fermionic divergent contributions. In the 40's decade of the last century, Heisenberg suggested that an uncertainty principle for the coordinates of the spacetime would improve the problem of the ultraviolet divergences that appeared in the perturbative approach in quantum field theory. Currently is given credit that noncommutative theories can be a simple mathematical formulation to represent the proposal of "spacetime foam", i.e., of the idea that in distances of the order of the Planck length, the spacetime loses its continuous structure, and must involve quantum fluctuations of geometry and topology. There are several ways to implement the noncommutativity in quantum field theory, but apparently, all formulations share one same property, the "IR/UV mixing" (infrared/ultraviolet mixing), that is a transmutation of originally UV divergences of the usual theory, to IR divergences in its noncommutative extension. A way to prevent this problem is to work with less UV divergent models. Therefore, natural candidates are supersymmetric theories. However, to construct realistic models of particle physics, Supersymmetry must be broken, because until the moment the supersymmetric partners of the usual particles had not been observed. Therefore it is essential to understand under which conditions supersymmetry can be broken. Thus, our main objective in this project is to study the mechanisms of gauge symmetry and supersymmetry breaking in supersymmetric noncommutative field theories. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FERRARI, A. F.; GOMES, M.; LEHUM, A. C.; NASCIMENTO, J. R.; PETROV, A. YU.; DA SILVA, A. J.. Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield. Physics Letters B, v. 678, n. 2, p. 233-239, . (07/08604-1)
FERRARI, A. F.; GOMES, M.; LEHUM, A. C.; NASCIMENTO, J. R.; PETROV, A. YU.; SILVA, E. O.; DA SILVA, A. J.. On the superfield effective potential in three dimensions. Physics Letters B, v. 678, n. 5, p. 500-503, . (07/08604-1)

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