218 research outputs found
Infrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory
We prove that the Faddeev-Popov ghost dressing function in the Yang-Mills
theory is non-zero and finite in the limit of vanishing momenta and hence the
ghost propagator behaves like free in the deep infrared regime, within the
Gribov-Zwanziger framework of the -dimensional SU(N) Yang-Mills theory in
the Landau gauge for any . This result implies that the Kugo-Ojima color
confinement criterion is not satisfied in its original form. We point out that
the result crucially depends on the explicit form of the non-local horizon term
adopted. The original Gribov prediction in the Landau gauge should be
reconsidered in connection with color confinement.Comment: 22 pages, 2 figures, minor changes: typo corrected. Appendix A, B
added. Sect. 4.1 rewritten. References adde
Gauge-invariant description of Higgs phenomenon and quark confinement
We propose a novel description for the Higgs mechanism by which a gauge boson
acquires the mass. We do not assume spontaneous breakdown of gauge symmetry
signaled by a non-vanishing vacuum expectation value of the scalar field. In
fact, we give a manifestly gauge-invariant description of the Higgs mechanism
in the operator level, which does not rely on spontaneous symmetry breaking.
This enables us to discuss the confinement-Higgs complementarity from a new
perspective. The "Abelian" dominance in quark confinement of the Yang-Mills
theory is understood as a consequence of the gauge-invariant Higgs phenomenon
for the relevant Yang-Mills-Higgs model.Comment: 7 pages, no figures, final version to be published in Physics Letters
B, Title change
Bosonization and Duality of Massive Thirring Model
Starting from a reformulation of the Thirring model as a gauge theory, we
consider the bosonization of the -dimensional multiflavor massive Thirring
model with four-fermion interaction of the current-current type.
Our method leads to a novel interpolating Lagrangian written in terms of two
gauge fields. Especially we pay attention to the case of very massive fermion
in (2+1) and (1+1) dimensions. Up to the next-to-leading order of
, we show that the (2+1)-dimensional massive Thirring model is mapped to
the Maxwell-Chern-Simons theory and that the (1+1)-dimensional massive Thirring
model is equivalent to the massive free scalar field theory. In the process of
the bosonization of the Thirring model, we point out the importance of the
gauge-invariant formulation. Finally we discuss a possibility of extending this
method to the non-Abelian case.Comment: 20 pages, LaTeX (minor changes and the final section is added
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