3,213 research outputs found
Frozen ghosts in thermal gauge field theory
We review an alternative formulation of gauge field theories at finite
temperature where unphysical degrees of freedom of gauge fields and the
Faddeev-Popov ghosts are kept at zero temperature.Comment: 6 page
Lorentz Violation and Faddeev-Popov Ghosts
We consider how Lorentz-violating interactions in the Faddeev-Popov ghost
sector will affect scalar QED. The behavior depends sensitively on whether the
gauge symmetry is spontaneously broken. If the symmetry is not broken, Lorentz
violations in the ghost sector are unphysical, but if there is spontaneous
breaking, radiative corrections will induce Lorentz-violating and
gauge-dependent terms in other sectors of the theory.Comment: 13 page
New form of the NSVZ relation at the two-loop level
Recently the exact NSVZ -function was rewritten in the form of a
relation between the -function and the anomalous dimensions of the
quantum gauge superfield, of the Faddeev--Popov ghosts, and of the matter
superfields. It was also suggested that this form of the NSVZ equation follows
from an underlying equation relating two-point Green functions of the theory.
Here we demonstrate that this relation is satisfied at the two-loop level for
the non-Abelian supersymmetric gauge theories in the case of using
the simplest (BRST non-invariant) version of the higher covariant derivative
regularization. Consequently, the integrals giving the two-loop
-function can be reduced to the one-loop integrals giving the anomalous
dimensions of the quantum gauge superfield, of the Faddeev--Popov ghosts, and
of the matter superfields.Comment: 12 pages, 3 figures, the version accepted for publication in Physics
Letters
Gauge Fixing in Higher Derivative Gravity
Linearized four-derivative gravity with a general gauge fixing term is
considered. By a Legendre transform and a suitable diagonalization procedure it
is cast into a second-order equivalent form where the nature of the physical
degrees of freedom, the gauge ghosts, the Weyl ghosts, and the intriguing
"third ghosts", characteristic to higher-derivative theories, is made explicit.
The symmetries of the theory and the structure of the compensating
Faddeev-Popov ghost sector exhibit non-trivial peculiarities.Comment: 21 pages, LaTe
Gauge Group TQFT and Improved Perturbative Yang-Mills Theory
We reinterpret the Faddeev-Popov gauge-fixing procedure of Yang-Mills
theories as the definition of a topological quantum field theory for gauge
group elements depending on a background connection. This has the advantage of
relating topological gauge-fixing ambiguities to the global breaking of a
supersymmetry. The global zero modes of the Faddeev-Popov ghosts are handled in
the context of an equivariant cohomology without breaking translational
invariance. The gauge-fixing involves constant fields which play the role of
moduli and modify the behavior of Green functions at subasymptotic scales. At
the one loop level physical implications from these power corrections are gauge
invariant.Comment: 28 pages, uuencoded and compressed tar-file, LATEX+4 PS-figures, uses
psfig.sty. New appendix and some clarifying modifications, references adde
B.R.S. renormalisation of some on-shell closed algebras of symmetry transformations : N=2 and 4 supersymmetric non-linear sigma models
We analyse with the algebraic, regularisation independant, cohomological
B.R.S. methods, the renormalisability of torsionless N=2 and N= 4
supersymmetric non-linear \si models built on K\"ahler spaces. Surprisingly
enough with respect to the common wisdom, in the case of N=2 supersymmetry, we
obtain an anomaly candidate, at least in the compact K\"ahler Ricci-flat case.
If its coefficient does differ from zero, such anomaly would imply the breaking
of global N=2 supersymmetry and get into trouble some schemes of superstring
compactification as such non-linear \si models offer candidates for the
superstring vacuum state. In the compact homogeneous K\"ahler case, as
expected, the anomaly candidate disappears. The same phenomena occurs when one
enforces N=4 supersymmetry : in that case, we obtain the first rigorous proof
of the expected all-orders renormalisability -`` in the space of metrics"- of
the corresponding non-linear \si models. PAR/LPTHE/94-11Comment: 22 pages, latex, PAR/LPTHE/94-1
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