26 research outputs found
Superpotentials for Gauge and Conformal Supergravity Backgrounds
Effective superpotentials obtained by integrating out matter in super
Yang-Mills and conformal supergravity backgrounds in N=1 SUSY theories are
considered. The pure gauge and supergravity contributions (generalizing
Veneziano-Yankielowicz terms) are derived by considering the case with matter
fields in the fundamental representation of the gauge group. These
contributions represent quantum corrections to the tree-level Yang-Mills and
conformal supergravity actions. The classical equations of motion following
from the conformal supergravity action require the background to be
(super)conformally flat. This condition is unchanged by quantum corrections to
the effective superpotential, irrespective of the matter content of the theory.Comment: 12 pages, no figure
The `BRST-invariant' Condensate of Dimension Two in QCD
The status of the `BRST-invariant' condensate of mass dimension two in QCD is
explained. The condensate is only invariant under an `on-shell' BRST symmetry
which includes a partial gauge-fixing. The on-shell BRST symmetry represents
the residual gauge symmetry under gauge transformations which preserve the
partial gauge fixing. The gauge-invariant operators which correspond to the
BRST-invariant condensate are identified in the Lorentz and maximal Abelian
gauges and are shown to be invariant under the residual gauge transformations.Comment: 6 page
Forbidden Landscape from Holography
We present a class of field configurations that are forbidden in the quantum
gravity because of inconsistency in the dual field theory from holography.
Scale invariant but non-conformal field theories are impossible in (1+1)
dimension, and so should be the corresponding gravity dual. In particular, the
"spontaneous Lorentz symmetry breaking" models and the "ghost condensation"
models, which are well-studied in phenomenology literatures, are forbidden in
any consistent quantum theories of gravity in (1+2) dimension since they
predict such inconsistent field configurations.Comment: 4pages, v2: some improvements, reference adde
Gravitational F-terms of N=1 Supersymmetric SU(N) Gauge Theories
We use the generalized Konishi anomaly equations and R-symmetry anomaly to
compute the exact perturbative and non-perturbative gravitational F-terms of
four-dimensional N=1 supersymmetric gauge theories. We formulate the general
procedure for computation and consider chiral and non-chiral SU(N) gauge
theories.Comment: 25 pages, v2: minor changes in section 4, references adde
Gravitational F-terms of N=1 Supersymmetric Gauge Theories
We consider four-dimensional N=1 supersymmetric gauge theories in a
supergravity background. We use generalized Konishi anomaly equations and
R-symmetry anomaly to compute the exact perturbative and non-perturbative
gravitational F-terms. We study two types of theories: The first model breaks
supersymmetry dynamically, and the second is based on a gauge group. The
results are compared with the corresponding vector models. We discuss the
diagrammatic expansion of the theory.Comment: LaTeX2e, 23 pages, 2 figures. Added a reference and converted into
JHEP styl
Dynamics of Gravity in a Higgs Phase
We investigate the universal low-energy dynamics of the simplest Higgs phase
for gravity, `ghost condensation.' We show that the nonlinear dynamics of the
`ghostone' field dominate for all interesting gravitational sources. Away from
caustic singularities, the dynamics is equivalent to the irrotational flow of a
perfect fluid with equation of state p \propto \rho^2, where the fluid
particles can have negative mass. We argue that this theory is free from
catastrophic instabilities due to growing modes, even though the null energy
condition is violated. Numerical simulations show that solutions generally have
singularities in which negative energy regions shrink to zero size. We exhibit
partial UV completions of the theory in which these singularities are smoothly
resolved, so this does not signal any inconsistency in the effective theory. We
also consider the bounds on the symmetry breaking scale M in this theory. We
argue that the nonlinear dynamics cuts off the Jeans instability of the linear
theory, and allows M \lsim 100MeV.Comment: 54 pages, 15 figures; postscript figures downloadable from
http://schwinger.harvard.edu/~wiseman/Ghost/ghostepsfigs.tar.gz ; v2:
substantial revision to section 5 on bound
A Symmetry for the Cosmological Constant
We study a symmetry, schematically Energy -> - Energy, which suppresses
matter contributions to the cosmological constant. The requisite negative
energy fluctuations are identified with a "ghost" copy of the Standard Model.
Gravity explicitly, but weakly, violates the symmetry, and naturalness requires
General Relativity to break down at short distances with testable consequences.
If this breakdown is accompanied by gravitational Lorentz-violation, the decay
of flat spacetime by ghost production is acceptably slow. We show that
inflation works in our scenario and can lead to the initial conditions required
for standard Big Bang cosmology.Comment: 18 pages, 3 figures, References correcte
Exact Superpotentials, Theories with Flavor and Confining Vacua
In this paper we study some interesting properties of the effective
superpotential of N=1 supersymmetric gauge theories with fundamental matter,
with the help of the Dijkgraaf--Vafa proposal connecting supersymmetric gauge
theories with matrix models.
We find that the effective superpotential for theories with N_f fundamental
flavors can be calculated in terms of quantities computed in the pure (N_f=0)
gauge theory. Using this property we compute in a remarkably simple way the
exact effective superpotential of N=1 supersymmetric theories with fundamental
matter and gauge group SU(N_c), at the point in the moduli space where a
maximal number of monopoles become massless (confining vacua). We extend the
analysis to a generic point of the moduli space, and show how to compute the
effective superpotential in this general case.Comment: 16 pages, no figure
More about spontaneous Lorentz-violation and infrared modification of gravity
We consider a model with Lorentz-violating vector field condensates, in which
dispersion laws of all perturbations, including tensor modes, undergo
non-trivial modification in the infrared. The model is free of ghosts and
tachyons at high 3-momenta. At low 3-momenta there are ghosts, and at even
lower 3-momenta there exist tachyons. Still, with appropriate choice of
parameters, the model is phenomenologically acceptable. Beyond a certain large
distance scale and even larger time scale, the gravity of a static source
changes from that of General Relativity to that of van Dam--Veltman--Zakharov
limit of the Fierz--Pauli theory. Yet the late time cosmological evolution is
always determined by the standard Friedmann equation, modulo small correction
to the ``cosmological Planck mass'', so the modification of gravity cannot by
itself explain the accelerated expansion of the Universe. We argue that the
latter property is generic in a wide class of models with condensates.Comment: 15 pages, 1 figure, JHEP3.cls; Added reference
Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale
We present an extension of the Randall--Sundrum model in which, due to
spontaneous Lorentz symmetry breaking, graviton mixes with bulk vector fields
and becomes quasilocalized. The masses of KK modes comprising the
four-dimensional graviton are naturally exponentially small. This allows to
push the Lorentz breaking scale to as high as a few tenth of the Planck mass.
The model does not contain ghosts or tachyons and does not exhibit the van
Dam--Veltman--Zakharov discontinuity. The gravitational attraction between
static point masses becomes gradually weaker with increasing of separation and
gets replaced by repulsion (antigravity) at exponentially large distances.Comment: 28 page