183 research outputs found
Spectrum of k-string tensions in SU(N) gauge theories
We compute, for the four-dimensional SU(4) and SU(6) gauge theories
formulated on a lattice, the string tensions sigma_k related to sources with
Z_N charge k, using Monte Carlo simulations. Our results are compatible with
sigma_k \propto sin (k pi/N), and show sizeable deviations from Casimir
scaling.Comment: Lattice2001(confinement
Duality cascades and duality walls
We recast the phenomenon of duality cascades in terms of the Cartan matrix
associated to the quiver gauge theories appearing in the cascade. In this
language, Seiberg dualities for the different gauge factors correspond to Weyl
reflections. We argue that the UV behavior of different duality cascades
depends markedly on whether the Cartan matrix is affine ADE or not. In
particular, we find examples of duality cascades that can't be continued after
a finite energy scale, reaching a "duality wall", in terminology due to M.
Strassler. For these duality cascades, we suggest the existence of a UV
completion in terms of a little string theory.Comment: harvmac, 24 pages, 4 figures. v2: references added. v3: reference
adde
Induced N=2 composite supersymmetry in 2+1 dimensions
Starting from N=1 scalar supermultiplets in 2+1 dimensions, we build
explicitly the composite superpartners which define a N=2 superalgebra induced
by the initial N=1 supersymmetry. The occurrence of this extension is linked to
the topologically conserved current out of which the composite superpartners
are constructed.Comment: 11 pages LATEX, no figure
A Composite Little Higgs Model
We describe a natural UV complete theory with a composite little Higgs. Below
a TeV we have the minimal Standard Model with a light Higgs, and an extra
neutral scalar. At the TeV scale there are additional scalars, gauge bosons,
and vector-like charge 2/3 quarks, whose couplings to the Higgs greatly reduce
the UV sensitivity of the Higgs potential. Stabilization of the Higgs mass
squared parameter, without finetuning, occurs due to a softly broken shift
symmetry--the Higgs is a pseudo Nambu-Goldstone boson. Above the 10 TeV scale
the theory has new strongly coupled interactions. A perturbatively
renormalizable UV completion, with softly broken supersymmetry at 10 TeV is
explicitly worked out. Our theory contains new particles which are odd under an
exact "dark matter parity", (-1)^{(2S+3B+L)}. We argue that such a parity is
likely to be a feature of many theories of new TeV scale physics. The lightest
parity odd particle, or "LPOP", is most likely a neutral fermion, and may make
a good dark matter candidate, with similar experimental signatures to the
neutralino of the MSSM. We give a general effective field theory analysis of
the calculation of corrections to precision electroweak observables.Comment: 28 page
On the M-theory description of supersymmetric gluodynamics
We study the stringy description of N=1 supersymmetric SU(N) gauge theory on
R^{1,2} X S^1. Our description is based on the known Klebanov-Strassler and
Maldacena-Nunez solutions, properly modified to account for the compact
dimension. The presence of this circle turns out to be a non trivial
modification and it leads us to consider the up-lifted eleven dimensional
solution. We discuss some of its properties. Perhaps the most interesting one
is that extra BPS M-branes are present. These generate a non-perturbative
superpotential that we explicitly compute. Our findings, besides their interest
in the gauge-string correspondence, may also have applications in the
cosmological KKLT and KKLMMT scenarios.Comment: 24 pages; typos corrected and references adde
Structures in the Gauge/Gravity Duality Cascade
We study corrections to the anomalous mass dimension and their effects in the
Seiberg duality cascade in the Klebanov-Strassler throat, where
supersymmetric gauge theory with bifundamental chiral
superfields and a quartic tree level superpotential in four dimensions is dual
to type IIB string theory on background. Analyzing the
renormalization group flow of the couplings on the gauge theory side, we
propose specific corrections to the anomalous mass dimension. Applying
gauge/gravity duality, we then show that the corrections reveal structures on
the supergravity side with steps appearing in the running of the fluxes and the
metric. The "charges" at the steps provide a gravitational source for Seiberg
duality transformations. The finiteness of these corrections suggests that the
theory flows to a baryonic branch rather than to a confining branch. The
cosmological implication of the duality cascade and the gauge/gravity duality
on the brane inflationary scenario and the cosmic microwave background
radiation is pointed out.Comment: v3: 40 pages, minor changes and typos fixe
Parton picture for the strongly coupled SYM plasma
Deep inelastic scattering off the strongly coupled N=4 supersymmetric
Yang-Mills plasma at finite temperature can be computed within the AdS/CFT
correspondence, with results which are suggestive of a parton picture for the
plasma. Via successive branchings, essentially all partons cascade down to very
small values of the longitudinal momentum fraction x and to transverse momenta
smaller than the saturation momentum Q_s\sim T/x. This scale Q_s controls the
plasma interactions with a hard probe, in particular, the jet energy loss and
its transverse momentum broadening.Comment: 4 pages, Talk given at Quark Matter 2008: 20th International
Conference on Ultra-Relativistic Nucleus Nucleus Collisions (QM 2008),
Jaipur, India, 4-10 Feb 200
Anomalies in field theories with extra dimensions
We give an overview of the issue of anomalies in field theories with extra
dimensions. We start by reviewing in a pedagogical way the computation of the
standard perturbative gauge and gravitational anomalies on non-compact spaces,
using Fujikawa's approach and functional integral methods, and discuss the
available mechanisms for their cancellation. We then generalize these analyses
to the case of orbifold field theories with compact internal dimensions,
emphasizing the new aspects related to the presence of orbifold singularities
and discrete Wilson lines, and the new cancellation mechanisms that are
becoming available. We conclude with a very brief discussion on global and
parity anomalies.Comment: Review article written for Int.J.Mod.Phys. A, 63 pages; v2: mistake
in subsection 4.3 corrected, some comments and references added, a few
misprints fixe
Eutectic Colony Formation: A Stability Analysis
Experiments have widely shown that a steady-state lamellar eutectic
solidification front is destabilized on a scale much larger than the lamellar
spacing by the rejection of a dilute ternary impurity and forms two-phase cells
commonly referred to as `eutectic colonies'. We extend the stability analysis
of Datye and Langer for a binary eutectic to include the effect of a ternary
impurity. We find that the expressions for the critical onset velocity and
morphological instability wavelength are analogous to those for the classic
Mullins-Sekerka instability of a monophase planar interface, albeit with an
effective surface tension that depends on the geometry of the lamellar
interface and, non-trivially, on interlamellar diffusion. A qualitatively new
aspect of this instability is the occurence of oscillatory modes due to the
interplay between the destabilizing effect of the ternary impurity and the
dynamical feedback of the local change in lamellar spacing on the front motion.
In a transient regime, these modes lead to the formation of large scale
oscillatory microstructures for which there is recent experimental evidence in
a transparent organic system. Moreover, it is shown that the eutectic front
dynamics on a scale larger than the lamellar spacing can be formulated as an
effective monophase interface free boundary problem with a modified
Gibbs-Thomson condition that is coupled to a slow evolution equation for the
lamellar spacing. This formulation provides additional physical insights into
the nature of the instability and a simple means to calculate an approximate
stability spectrum. Finally, we investigate the influence of the ternary
impurity on a short wavelength oscillatory instability that is already present
at off-eutectic compositions in binary eutectics.Comment: 26 pages RevTex, 14 figures (28 EPS files); some minor changes;
references adde
Quark-hadron-duality in the charmonium and upsilon system
In this work we discuss the practical and conceptual issues related to
quark-hadron-duality in heavy-heavy systems. Recent measurements in the
charmonium region allow a direct test of quark-hadron-duality. We present a
formula for non-resonant background production in e^+ e^- \to D{\bar D} and
extract the resonance parameters of the \psi(3S)-\psi(6S). The obtained results
are used to investigate the upsilon energy range.Comment: 21 pages, 3 figures, references adde
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