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SUMMARY:Renormalization Group Equation and Dynamical Symmetry Breaking in
a Supersymmetry Abelian Chern-Simons Model with Arbitrary Parameter of G
auge
DTSTART;VALUE=DATE-TIME:20150827T235000Z
DTEND;VALUE=DATE-TIME:20150828T001000Z
DTSTAMP;VALUE=DATE-TIME:20200222T124703Z
UID:indico-contribution-1720372@indico.cern.ch
DESCRIPTION:Speakers: Andres Quinto (Universidade Federal do ABC)\nI
n this work\, we investigate the consequences of the Renormalization Group
Equation (RGE) in the determination of the effective superpotential in a
supersymmetric model with an arbitrary parameter of gauge and\, t
he impact of this improved calculation in the study of dynamical sym
metry breaking. We consider an $\\mathcal{N}=1$ supersymmetric theory
\, including an Abelian Chern-Simons superfield coupled to N scalar sup
erfields in (2+1) dimensional spacetime. The classical Lagrangian presents
scale invariance\, which is broken by radiative corrections to the effect
ive superpotential. We calculate perturbative corrections\, up to two-loop
s\, to the divergent vertex functions of the model\, using dimensional reg
ularization and minimal subtraction scheme\, in order to calculate the ren
ormalization group functions $\\beta$ and $\\gamma$. Additionally\, we
compute the superpotential from the one point vertex function up to two-l
oops with an arbitrary parameter of gauge. In order to understand it
\, was necessary to use the identity of Nielsen for st
udying the behaviour of the superpotential minima. Using thes
e\n\, together with the RGE\, we are able to calculate an improved v
ersion of the effective superpotential\, from which the dynamical symmetry
breaking can be studied and\, the results can also be\n\nhttps:/
/indico.cern.ch/event/331032/contributions/1720372/
LOCATION: Alumni
URL:https://indico.cern.ch/event/331032/contributions/1720372/
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