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Color superconductivity, Z_{N} flux tubes and monopole confinement in deformed {N}=2^* super Yang-Mills theories

M. A. C. Kneipp

2003

Dados da publicação

Autores
M. A. C. Kneipp
Tipo
Nota de Física
Status
Publicado
Data de publicação
2003
Descrição
We study the \( Z_{N} \) flux tubes and monopole confinement in deformed \( \mathcal{N}=2^{*} \) super Yang-Mills theories. In order to do that we consider an \( \mathcal{N}=4 \) super Yang-Mills theory with an arbitrary gauge group \( G \) and add some \( \mathcal{N}=2 \), \( \mathcal{N}=1 \) and \( \mathcal{N}=0 \) deformation terms. We analyze some possible vacuum solutions and phases of the theory, depending on the deformation terms which are added. In the Coulomb phase for the \( N=2^{*} \) theory, \( G \) is broken to \( U(1)^{r} \) and the theory has monopole solutions. Then, by adding some deformation terms, the theory passes to the Higgs or color superconducting phase, in which G is broken to its center \( C_{G} \). In this phase we construct the \( Z_{N} \) flux tubes ansatz and obtain the BPS string tension. We show that the monopole magnetic fluxes are linear integer combinations of the string fluxes and therefore the monopoles can become confined. Then, we obtain a bound for the threshold length of the string-breaking. We also show the possible formation of a confining system with 3 different monopoles for the \( SU(3) \) gauge group. Finally we show that the BPS string tensions of the theory satisfy the Casimir scaling law.
Ano
2003
Número
CBPF-NF-028/03
Vínculo com tese
Não
Vínculo com bolsa
Não
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