Contribution Oral Presentation
Measuring SU(3) monopole witn non-Abelian charge in lattice QCD
Speakers
- Dr. Gustavo MOREIRA SIMÕES
Primary authors
- Dr. Gustavo MOREIRA SIMÕES (IFSC-USP)
Co-authors
- Prof. Tereza Cristina DA ROCHA MENDES (University of São Paulo / São Carlos Physics Institute)
- Prof. Luis Esteban OXMAN (Universidade Federal Fluminense)
- Mr. Rafael TONHON (University of São Paulo/ São Carlos Physics Institute)
Content
Dual superconductivity is a popular scenario to describe the property of confinement in QCD. Even though it has been successfully proved in compact QED, the same cannot be said for SU(N) Yang-Mills, and one important obstacle is the difficulty of reproducing the property of $N$-ality with Abelian monopoles alone. It is clear that non-Abelian information must be included when performing ensembles of topological defects that aim to reproduce the phenomenology of confinement.
In this presentation, we would like to motivate a modification of the usual deGrand-Toussaint method to measure monopoles that takes into account the non-Abelian nature of SU(N) by assigning roots to the monopole charges. This is in consonance with the usual representation of non-oriented center vortices in the continuum, where the vortices carry fundamental charges while the attached monopoles carry adjoint ones. Additionally, we hope that such modification will lead to a more streamlined way to study correlations of oriented and non-oriented center vortices as well as provide important insights to guide future proposals of ensembles of these topological defects.
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