Publicação
Lattice Computation of the Kugo-Ojima Correlation Function
| Resumo: | As of today, color confinement in Quantum Chromodynamics remains a mystery from the theoretical point of view. So far no analytical proof of color confinement has been found and the mechanism that confines states from the space of physical states is still unknown. Taichiro Kugo and Izumi Ojima proposed such confinement mechanism, using as basis the BRST-symmetry and derived the requirements for the realization of this mechanism. One such requirement, which happens to be the non-trivial one is that a special correlation function, the Kugo-Ojima correlation function u(p^2), approaches —1 at the origin (u(p^2)= 0). This correlation function can be obtained on the Lattice within the lattice formulation of gauge theories. The present work consists on lattice results for this correlation function on the Landau gauge. We present results obtained from 4 symmetric large volume lattices: (32^4, 48^4, 64^4, 80^4) with \beta=6.0 on the Landau gauge. A test on the transversality of the Kugo-Ojima correlation in the Landau gauge function is also performed, along with some statistical considerations of the results. The results present further evidence that the Kugo-Ojima confinement scenario is not realized on the lattice and that the Kugo-Ojima correlation function, in the Landau gauge, is transverse. Our findings align qualitatively with existing literature, contributing to our understanding of Quantum Chromodynamics. This ongoing pursuit to unravel color confinement remains a central challenge in particle physics. |
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| Autores principais: | Brito, Nuno Miguel Rebelo |
| Assunto: | Color Confinement Lattice QCD Kugo-Ojima function Quantum Field Theory Landau Gauge Confinamento de cor QCD na rede Função de Kugo-Ojima Teoria Quântica de Campos Gauge de Landau |
| Ano: | 2023 |
| País: | Portugal |
| Tipo de documento: | dissertação de mestrado |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Coimbra |
| Idioma: | inglês |
| Origem: | Estudo Geral - Universidade de Coimbra |
| Resumo: | As of today, color confinement in Quantum Chromodynamics remains a mystery from the theoretical point of view. So far no analytical proof of color confinement has been found and the mechanism that confines states from the space of physical states is still unknown. Taichiro Kugo and Izumi Ojima proposed such confinement mechanism, using as basis the BRST-symmetry and derived the requirements for the realization of this mechanism. One such requirement, which happens to be the non-trivial one is that a special correlation function, the Kugo-Ojima correlation function u(p^2), approaches —1 at the origin (u(p^2)= 0). This correlation function can be obtained on the Lattice within the lattice formulation of gauge theories. The present work consists on lattice results for this correlation function on the Landau gauge. We present results obtained from 4 symmetric large volume lattices: (32^4, 48^4, 64^4, 80^4) with \beta=6.0 on the Landau gauge. A test on the transversality of the Kugo-Ojima correlation in the Landau gauge function is also performed, along with some statistical considerations of the results. The results present further evidence that the Kugo-Ojima confinement scenario is not realized on the lattice and that the Kugo-Ojima correlation function, in the Landau gauge, is transverse. Our findings align qualitatively with existing literature, contributing to our understanding of Quantum Chromodynamics. This ongoing pursuit to unravel color confinement remains a central challenge in particle physics. |
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