976 research outputs found
Tensor Meson Production in Proton-Proton Collisions from the Color Glass Condensate
We compute the inclusive cross-section of tensor mesons production in
proton-proton collisions at high-energy. We use an effective theory inspired
from the tensor meson dominance hypothesis that couples gluons to
mesons. We compute the differential cross-section in the
-factorization and in the Color Glass Condensate formalism in the
low density regime. We show that the two formalisms are equivalent for this
specific observable. Finally, we study the phenomenology of mesons by
comparing theoretical predictions of different parameterizations of the
unintegrated gluon distribution function. We find that -meson production
is another observable that can be used to put constraints on these
distributions.Comment: 26 pages, 3 figures, to be submitted in Phys. Rev.
Generating loop graphs via Hopf algebra in quantum field theory
We use the Hopf algebra structure of the time-ordered algebra of field
operators to generate all connected weighted Feynman graphs in a recursive and
efficient manner. The algebraic representation of the graphs is such that they
can be evaluated directly as contributions to the connected n-point functions.
The recursion proceeds by loop order and vertex number.Comment: 22 pages, LaTeX + AMS + eepic; new section with alternative recursion
formula added, further minor changes and correction
Intersection theory from duality and replica
Kontsevich's work on Airy matrix integrals has led to explicit results for
the intersection numbers of the moduli space of curves. In this article we show
that a duality between k-point functions on matrices and N-point
functions of matrices, plus the replica method, familiar in the
theory of disordered systems, allows one to recover Kontsevich's results on the
intersection numbers, and to generalize them to other models. This provides an
alternative and simple way to compute intersection numbers with one marked
point, and leads also to some new results
A remark on the matrix Airy function
An integral representation for matrix Airy function is presentedComment: 4 page
Many-Body Theory of the Electroweak Nuclear Response
After a brief review of the theoretical description of nuclei based on
nonrelativistic many-body theory and realistic hamiltonians, these lectures
focus on its application to the analysis of the electroweak response. Special
emphasis is given to electron-nucleus scattering, whose experimental study has
provided a wealth of information on nuclear structure and dynamics, exposing
the limitations of the shell model. The extension of the formalism to the case
of neutrino-nucleus interactions, whose quantitative understanding is required
to reduce the systematic uncertainty of neutrino oscillation experiments, is
also discussed.Comment: Lectures delivered at the DAE-BRNS Workshop on Hadron Physics.
Aligarh Muslim University, Aligarh (India), February 18-23, 200
Relation between phase and dwell times for quantum tunneling of a relativistically propagating particle
The general and explicit relation between the phase time and the dwell time
for quantum tunneling of a relativistically propagating particle is
investigated and quantified. In analogy with previously obtained
non-relativistic results, it is shown that the group delay can be described in
terms of the dwell time and a self-interference delay. Lessons concerning the
phenomenology of the relativistic tunneling are drawn
Surface plasmon modes and the Casimir energy
We show the influence of surface plasmons on the Casimir effect between two
plane parallel metallic mirrors at arbitrary distances. Using the plasma model
to describe the optical response of the metal, we express the Casimir energy as
a sum of contributions associated with evanescent surface plasmon modes and
propagative cavity modes. In contrast to naive expectations, the plasmonic
modes contribution is essential at all distances in order to ensure the correct
result for the Casimir energy. One of the two plasmonic modes gives rise to a
repulsive contribution, balancing out the attractive contributions from
propagating cavity modes, while both contributions taken separately are much
larger than the actual value of the Casimir energy. This also suggests
possibilities to tailor the sign of the Casimir force via surface plasmons.Comment: 4 pages, 3 figures, revtex
No Drama Quantum Theory?
This work builds on the following result of a previous article
(quant-ph/0509044): the matter field can be naturally eliminated from the
equations of the scalar electrodynamics (the Klein-Gordon-Maxwell
electrodynamics) in the unitary gauge. The resulting equations describe
independent dynamics of the electromagnetic field (they form a closed system of
partial differential equations). An improved derivation of this surprising
result is offered in the current work. It is also shown that for this system of
equations, a generalized Carleman linearization (Carleman embedding) procedure
generates a system of linear equations in the Hilbert space, which looks like a
second-quantized theory and is equivalent to the original nonlinear system on
the set of solutions of the latter. Thus, the relevant local realistic model
can be embedded into a quantum field theory. This model is equivalent to a
well-established model - the scalar electrodynamics, so it correctly describes
a large body of experimental data. Although it does not describe the electronic
spin and possibly some other experimental facts, it may be of great interest as
a "no drama quantum theory", as simple (in principle) as classical
electrodynamics. Possible issues with the Bell theorem are discussed.Comment: 4 page
Viability of vector-tensor theories of gravity
We present a detailed study of the viability of general vector-tensor
theories of gravity in the presence of an arbitrary temporal background vector
field. We find that there are six different classes of theories which are
indistinguishable from General Relativity by means of local gravity
experiments. We study the propagation speeds of scalar, vector and tensor
perturbations and obtain the conditions for classical stability of those
models. We compute the energy density of the different modes and find the
conditions for the absence of ghosts in the quantum theory. We conclude that
the only theories which can pass all the viability conditions for arbitrary
values of the background vector field are not only those of the pure Maxwell
type, but also Maxwell theories supplemented with a (Lorentz type) gauge fixing
term.Comment: 13 pages, 2 figures, 1 table. Final version to appear in JCA
Potentially Large One-loop Corrections to WIMP Annihilation
We compute one-loop corrections to the annihilation of non--relativistic
particles due to the exchange of a (gauge or Higgs) boson with
mass in the initial state. In the limit this leads to
the "Sommerfeld enhancement" of the annihilation cross section. However, here
we are interested in the case \mu \lsim m_\chi, where the one--loop
corrections are well--behaved, but can still be sizable. We find simple and
accurate expressions for annihilation from both and wave initial
states; they differ from each other if . In order to apply our
results to the calculation of the relic density of Weakly Interacting Massive
Particles (WIMPs), we describe how to compute the thermal average of the
corrected cross sections. We apply this formalism to scalar and Dirac fermion
singlet WIMPs, and show that the corrections are always very small in the
former case, but can be very large in the latter. Moreover, in the context of
the Minimal Supersymmetric Standard Model, these corrections can decrease the
relic density of neutralinos by more than 1%, if the lightest neutralino is a
strongly mixed state.Comment: 25 pages, 8 figures. Added an appendix showing that the approximation
works well in a scalar toy model. To be published in PRD
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