We discuss a quantum-theoretical aspect of the massive Abelian antisymmetric tensor gauge theory with antisymmetric tensor current. To this end, an
We derive an effective Abelian gauge theory (EAGT) of a modified SU (2) Yang-Mills theory. The modification is made by explicitly introducing mass terms of the off-diagonal gluon fields into pure SU (2) Yang-Mills theory, in order that Abelian dominance at a long-distance scale is realized in the modified theory. In deriving the EAGT, the off-diagonal gluon fields involving longitudinal modes are treated as fields that produce quantum effects on the diagonal gluon field and other fields relevant at a long-distance scale. Unlike earlier papers, a necessary gauge fixing is carried out without spoiling the global SU (2) gauge symmetry. We show that the EAGT allows a composite of the Yukawa and the linear potentials which also occurs in an extended dual Abelian Higgs model. This composite potential is understood to be a static potential between color-electric charges. In addition, we point out that the EAGT involves the Skyrme-Faddeev model.Understanding the color-confinement mechanism based on quantum chromodynamics (QCD) is a long-standing subject in particle physics. It has been argued that the colormagnetic monopole condensation leads to color confinement through the dual Meissner effect which is described by the dual Abelian Higgs model or the dual Ginzburg-Landau theory [1-3]. To confirm this picture within the framework of QCD, it is necessary to realize magnetic monopoles in QCD [4] and to accept Abelian dominance [5,6] as a fact. Here Abelian dominance means that, at a long-distance scale, only diagonal gluons dominate, while effects of off-diagonal gluons are strongly suppressed. When the idea of Abelian dominance was first proposed by Ezawa and Iwazaki, it was only a hypothesis [5]. They conjectured that Abelian dominance may be achieved if off-diagonal gluons possess effective non-zero mass at a long-distance scale and hence do not propagate at this scale. A recent Monte Carlo simulation performed by Amemiya and Suganuma shows that, in the maximal Abelian (MA) gauge, off-diagonal gluons indeed behave like massive vector fields with the effective mass M off ≃ 1.2 GeV [6]. This result strongly supports Ezawa-Iwazaki's conjecture, so that the Abelian dominance must be realized at a long-distance scale.Mass generation of off-diagonal gluons would be a nonperturbative effect of QCD at a long-distance scale and should be understood within the analytic framework of QCD. In fact, an analytic approach based on condensation of the Faddeev-Popov ghosts has been made to explain the mass-generation mechanism of off-diagonal gluons [7,8]. This attempt seems to be interesting. However the ghost condensation may lead to breaking of the Becchi-Rouet-Stora-Tyutin (BRST) symmetry, which causes the problem of spoiling unitarity.Although the mass-generation mechanism of off-diagonal gluons is not well understood analytically at present, respecting the result of Monte Carlo simulation, we accept the mass generation as true in the beginning of our discussion without questioning its mechanism. Accordingly, in the present letter,...
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.