341 research outputs found
Large Representation Recurrences in Large N Random Unitary Matrix Models
In a random unitary matrix model at large N, we study the properties of the
expectation value of the character of the unitary matrix in the rank k
symmetric tensor representation. We address the problem of whether the standard
semiclassical technique for solving the model in the large N limit can be
applied when the representation is very large, with k of order N. We find that
the eigenvalues do indeed localize on an extremum of the effective potential;
however, for finite but sufficiently large k/N, it is not possible to replace
the discrete eigenvalue density with a continuous one. Nonetheless, the
expectation value of the character has a well-defined large N limit, and when
the discreteness of the eigenvalues is properly accounted for, it shows an
intriguing approximate periodicity as a function of k/N.Comment: 24 pages, 11 figure
On CPT Symmetry: Cosmological, Quantum-Gravitational and other possible violations and their phenomenology
I discuss various ways in which CPT symmetry may be violated, and their
phenomenology in current or immediate future experimental facilities, both
terrestrial and astrophysical. Specifically, I discuss first violations of CPT
symmetry due to the impossibility of defining a scattering matrix as a
consequence of the existence of microscopic or macroscopic space-time
boundaries, such as Planck-scale Black-Hole (event) horizons, or cosmological
horizons due to the presence of a (positive) cosmological constant in the
Universe. Second, I discuss CPT violation due to breaking of Lorentz symmetry,
which may characterize certain approaches to quantum gravity, and third, I
describe models of CPT non invariance due to violations of locality of
interactions. In each of the above categories I discuss experimental
sensitivities. I argue that the majority of Lorentz-violating cases of CPT
breaking, with minimal (linear) suppression by the Planck-mass scale, are
already excluded by current experimental tests. There are however some
(stringy) models which can evade these constraints.Comment: 27 pages latex, Conference talk Beyond the Desert 200
The Hagedorn spectrum and large QCD in 2+1 and 3+1 dimensions
We show that a Hagedorn spectrum (i.e., spectrum where the number of hadrons
grows exponentially with the mass) emerges automatically in large QCD in
2+1 and 3+1 dimensions. The approach is based on the study of Euclidean space
correlation functions for composite operators constructed from quark and gluon
fields and exploits the fact that the short time behavior of the correlators is
known in QCD. The demonstration relies on one critical assumption: that
perturbation theory accurately describes the trace of the logarithm of a matrix
of point-to-point correlation functions in the regime where the perturbative
corrections to the asymptotically free value are small.Comment: 18 pages, 5 figure
Testing A (Stringy) Model of Quantum Gravity
I discuss a specific model of space-time foam, inspired by the modern
non-perturbative approach to string theory (D-branes). The model views our
world as a three brane, intersecting with D-particles that represent stringy
quantum gravity effects, which can be real or virtual. In this picture, matter
is represented generically by (closed or open) strings on the D3 brane
propagating in such a background. Scattering of the (matter) strings off the
D-particles causes recoil of the latter, which in turn results in a distortion
of the surrounding space-time fluid and the formation of (microscopic, i.e.
Planckian size) horizons around the defects. As a mean-field result, the
dispersion relation of the various particle excitations is modified, leading to
non-trivial optical properties of the space time, for instance a non-trivial
refractive index for the case of photons or other massless probes. Such models
make falsifiable predictions, that may be tested experimentally in the
foreseeable future. I describe a few such tests, ranging from observations of
light from distant gamma-ray-bursters and ultra high energy cosmic rays, to
tests using gravity-wave interferometric devices and terrestrial particle
physics experients involving, for instance, neutral kaons.Comment: 25 pages LATEX, four figures incorporated, uses special proceedings
style. Invited talk at the third international conference on Dark Matter in
Astro and Particle Physics, DARK2000, Heidelberg, Germany, July 10-15 200
New D1-D5-P geometries from string amplitudes
We derive the long range supergravity fields sourced by a D1-D5-P bound state
from disk amplitudes for massless closed string emission. We suggest that since
the parameter controlling the string perturbation expansion for this
calculation decreases with distance from the bound state, the resulting
asymptotic fields are valid even in the regime of parameters in which there is
a classical black hole solution with the same charges. The supergravity fields
differ from the black hole solution by multipole moments and are more general
than those contained within known classes of solutions in the literature,
whilst still preserving four supersymmetries. Our results support the
conjecture that the black hole solution should be interpreted as a
coarse-grained description rather than an exact description of the
gravitational field sourced by D1-D5-P bound states in this regime of
parameters.Comment: 48 pages, 2 figures, v2: typos correcte
A Non-relativistic Logarithmic Conformal Field Theory from a Holographic Point of View
We study a fourth-order derivative scalar field configuration in a fixed
Lifshitz background. Using an auxiliary field we rewrite the equations of
motion as two coupled second order equations. We specialize to the limit that
the mass of the scalar field degenerates with that of the auxiliary field and
show that logarithmic modes appear. Using non-relativistic holographic methods
we calculate the two-point correlation functions of the boundary operators in
this limit and find evidence for a non-relativistic logarithmic conformal field
theory at the boundary.Comment: 17 pages, v2 : refs. adde
Nonlinear Dynamics of Parity-Even Tricritical Gravity in Three and Four Dimensions
Recently proposed "multicritical" higher-derivative gravities in Anti de
Sitter space carry logarithmic representations of the Anti de Sitter isometry
group. While generically non-unitary already at the quadratic, free-theory
level, in special cases these theories admit a unitary subspace. The simplest
example of such behavior is "tricritical" gravity. In this paper, we extend the
study of parity-even tricritical gravity in d = 3, 4 to the first nonlinear
order. We show that the would-be unitary subspace suffers from a linearization
instability and is absent in the full non-linear theory.Comment: 22 pages; v2: references added, published versio
AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
For cosmological topologically massive gravity at the chiral point we
calculate momentum space 2- and 3-point correlators of operators in the
postulated dual CFT on the cylinder. These operators are sourced by the bulk
and boundary gravitons. Our correlators are fully consistent with the proposal
that cosmological topologically massive gravity at the chiral point is dual to
a logarithmic CFT. In the process we give a complete classification of
normalizable and non-normalizeable left, right and logarithmic solutions to the
linearized equations of motion in global AdS_3.Comment: 39 pages + appendices, 1 eps figure, v2: minor changes in text in
4.1.2, corrected typo in (2.31
On Non-Linear Actions for Massive Gravity
In this work we present a systematic construction of the potentially
ghost-free non-linear massive gravity actions. The most general action can be
regarded as a 2-parameter deformation of a minimal massive action. Further
extensions vanish in 4 dimensions. The general mass term is constructed in
terms of a "deformed" determinant from which this property can clearly be seen.
In addition, our formulation identifies non-dynamical terms that appear in
previous constructions and which do not contribute to the equations of motion.
We elaborate on the formal structure of these theories as well as some of their
implications.Comment: v3: 22 pages, minor comments added, version to appear in JHE
5D UED: Flat and Flavorless
5D UED is not automatically minimally flavor violating. This is due to flavor
asymmetric counter-terms required on the branes. Additionally, there are likely
to be higher dimensional operators which directly contribute to flavor
observables. We document a mostly unsuccessful attempt at utilizing
localization in a flat extra dimension to resolve these flavor constraints
while maintaining KK-parity as a good quantum number. It is unsuccessful
insofar as we seem to be forced to add brane operators in such a way as to
precisely mimic the effects of a double throat warped extra dimension. In the
course of our efforts, we encounter and present solutions to a problem common
to many extra dimensional models in which fields are "doubly localized:"
ultra-light modes. Under scrutiny, this issue seems tied to an intrinsic
tension between maintaining Kaluza-Klein parity and resolving mass hierarchies
via localization.Comment: 27 pages, 6 figure
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