55 research outputs found
Inelastic Channels in the Electroweak Symmetry-Breaking Sector
It has been argued that if light Higgs bosons do not exist then the
self--interactions of 's become strong in the TeV region and can be observed
in longitudinal scattering. We present a model with many inelastic
channels in the scattering process, corresponding to the creation of heavy
fermion pairs. The presence of these heavy fermions affects the elastic
scattering of 's by propagating in loops, greatly reducing the amplitudes in
some charge channels. Consequently, the symmetry--breaking sector cannot be
fully explored by using, for example, the mode alone; all scattering modes must be measured.}Comment: 10 pages, phyzzx, JHU-TIPAC-92001
Can the Electroweak Symmetry-breaking Sector Be Hidden?
In a recent paper, Chivukula and Golden claimed that the electroweak
symmetry--breaking sector could be hidden if there were many inelastic channels
in the longitudinal scattering process. They presented a model in which
the 's couple to pseudo--Goldstone bosons, which may be difficult to detect
experimentally. Because of these inelastic channels, the interactions do
not become strong in the TeV region. We demonstrate that, despite the reduced
elastic amplitudes in this model, the total event rate ( extra
longitudinal pairs produced in one standard SSC year) does not
decrease with an increasing number of inelastic channels, and is roughly the
same as in a model with a broad high--energy resonance and no inelastic
channels.Comment: 10 pages, phyzzx, JHU-TIPAC-92001
Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
We study the phases and geometry of the N=1 A_2 quiver gauge theory using
matrix models and a generalized Konishi anomaly. We consider the theory both in
the Coulomb and Higgs phases. Solving the anomaly equations, we find that a
meromorphic one-form sigma(z)dz is naturally defined on the curve Sigma
associated to the theory. Using the Dijkgraaf-Vafa conjecture, we evaluate the
effective low-energy superpotential and demonstrate that its equations of
motion can be translated into a geometric property of Sigma: sigma(z)dz has
integer periods around all compact cycles. This ensures that there exists on
Sigma a meromorphic function whose logarithm sigma(z)dz is the differential. We
argue that the surface determined by this function is the N=2 Seiberg-Witten
curve of the theory.Comment: 41 pages, 2 figures, JHEP style. v2: references adde
More on N=1 Matrix Model Curve for Arbitrary N
Using both the matrix model prescription and the strong-coupling approach, we
describe the intersections of n=0 and n=1 non-degenerated branches for quartic
(polynomial of adjoint matter) tree-level superpotential in N=1 supersymmetric
SO(N)/USp(2N) gauge theories with massless flavors. We also apply the method to
the degenerated branch. The general matrix model curve on the two cases we
obtain is valid for arbitrary N and extends the previous work from
strong-coupling approach. For SO(N) gauge theory with equal massive flavors, we
also obtain the matrix model curve on the degenerated branch for arbitrary N.
Finally we discuss on the intersections of n=0 and n=1 non-degenerated branches
for equal massive flavors.Comment: 36pp; to appear in JHE
Improved matrix-model calculation of the N=2 prepotential
We present a matrix-model expression for the sum of instanton contributions
to the prepotential of an N=2 supersymmetric U(N) gauge theory, with matter in
various representations. This expression is derived by combining the
renormalization-group approach to the gauge theory prepotential with
matrix-model methods. This result can be evaluated order-by-order in
matrix-model perturbation theory to obtain the instanton corrections to the
prepotential. We also show, using this expression, that the one-instanton
prepotential assumes a universal form.Comment: 20 pages, LaTeX, 2 figure
Perturbative Computation of Glueball Superpotentials for SO(N) and USp(N)
We use the superspace method of hep-th/0211017 to prove the matrix model
conjecture for N=1 USp(N) and SO(N) gauge theories in four dimensions. We
derive the prescription to relate the matrix model to the field theory
computations. We perform an explicit calculation of glueball superpotentials.
The result is consistent with field theory expectations.Comment: 24 pages, 10 figure
The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
Using generalized Konishi anomaly equations, it is known that one can
express, in a large class of supersymmetric gauge theories, all the chiral
operators expectation values in terms of a finite number of a priori arbitrary
constants. We show that these constants are fully determined by the requirement
of gauge invariance and an additional anomaly equation. The constraints so
obtained turn out to be equivalent to the extremization of the Dijkgraaf-Vafa
quantum glueball superpotential, with all terms (including the
Veneziano-Yankielowicz part) unambiguously fixed. As an application, we fill
non-trivial gaps in existing derivations of the mass gap and confinement
properties in super Yang-Mills theories.Comment: 31 pages, 1 figure; v2: typos corrected; references, a note on
Kovner-Shifman vacua (section 4.3) and a few clarifying comments in Section 3
added; v3: cosmetic changes, JHEP versio
(Anti)symmetric matter and superpotentials from IIB orientifolds
We study the IIB engineering of N=1 gauge theories with unitary gauge group
and matter in the adjoint and (anti)symmetric representations. We show that
such theories can be obtained as Z2 orientifolds of Calabi-Yau A2 fibrations,
and discuss the explicit T-duality transformation to an orientifolded
Hanany-Witten construction. The low energy dynamics is described by a geometric
transition of the orientifolded background. Unlike previously studied cases, we
show that the orientifold 5-`plane' survives the transition, thus bringing a
nontrivial contribution to the effective superpotential. We extract this
contribution by using matrix model results and compare with geometric data. A
Higgs branch of our models recovers the engineering of SO/Sp theories with
adjoint matter through an O5-`plane' T-dual to an O6-plane. We show that the
superpotential agrees with that produced by engineering through an O5-`plane'
dual to an O4-plane, even though the orientifold of this second construction is
replaced by fluxes after the transition.Comment: 40 page
Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
We consider a supersymmetric U(N) gauge theory with matter fields in the
adjoint, fundamental and anti-fundamental representations. As in the framework
which was put forward by Dijkgraaf and Vafa, this theory can be described by a
matrix model. We analyze this theory along the lines of [F. Cachazo, M.
Douglas, N.S. and E. Witten, ``Chiral Rings and Anomalies in Supersymmetric
Gauge Theory'' hep-th/0211170] and show the equivalence of the gauge theory and
the matrix model. In particular, the anomaly equations in the gauge theory is
identified with the loop equations in the matrix model.Comment: 14 page
On the Geometry of Matrix Models for N=1*
We investigate the geometry of the matrix model associated with an N=1 super
Yang-Mills theory with three adjoint fields, which is a massive deformation of
N=4. We study in particular the Riemann surface underlying solutions with
arbitrary number of cuts. We show that an interesting geometrical structure
emerges where the Riemann surface is related on-shell to the Donagi-Witten
spectral curve. We explicitly identify the quantum field theory resolvents in
terms of geometrical data on the surface.Comment: 17 pages, 2 figures. v2: reference adde
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