22 research outputs found
Mesons and Nucleons in Soft-Wall AdS/QCD with Constrained Infrared Background
The purpose of this paper is to further study the soft-wall AdS/QCD model
with constrained IR background. By including a quartic bulk scalar potential we
study various meson and nucleon spectra. This model naturally realizes the
asymptotical linearity of these mass spectra simultaneously, together with
correctly pattern of explicit and dynamical chiral symmetry breaking. The
agreement between the theoretical calculations and the experimental data is
good.Comment: 17 pages,5 table
Light-Front Quantization and AdS/QCD: An Overview
We give an overview of the light-front holographic approach to strongly
coupled QCD, whereby a confining gauge theory, quantized on the light front, is
mapped to a higher-dimensional anti de Sitter (AdS) space. The framework is
guided by the AdS/CFT correspondence incorporating a gravitational background
asymptotic to AdS space which encodes the salient properties of QCD, such as
the ultraviolet conformal limit at the AdS boundary at , as well as
modifications of the geometry in the large infrared region to describe
confinement and linear Regge behavior. There are two equivalent procedures for
deriving the AdS/QCD equations of motion: one can start from the Hamiltonian
equation of motion in physical space time by studying the off-shell dynamics of
the bound state wavefunctions as a function of the invariant mass of the
constituents. To a first semiclassical approximation, where quantum loops and
quark masses are not included, this leads to a light-front Hamiltonian equation
which describes the bound state dynamics of light hadrons in terms of an
invariant impact variable which measures the separation of the partons
within the hadron at equal light-front time. Alternatively, one can start from
the gravity side by studying the propagation of hadronic modes in a fixed
effective gravitational background. Both approaches are equivalent in the
semiclassical approximation. This allows us to identify the holographic
variable in AdS space with the impact variable . Light-front
holography thus allows a precise mapping of transition amplitudes from AdS to
physical space-time. The internal structure of hadrons is explicitly introduced
and the angular momentum of the constituents plays a key role.Comment: Invited talk presented by GdT at the XIV School of Particles and
Fields, Morelia, Mexico, November 8-12, 201
Meson Transition Form Factors in Light-Front Holographic QCD
We study the photon-to-meson transition form factors (TFFs) F_{M \gamma}(Q^2)
for gamma gamma^* \to M using light-front holographic methods. The Chern-Simons
action, which is a natural form in 5-dimensional anti-de Sitter (AdS) space,
leads directly to an expression for the photon-to-pion TFF for a class of
confining models. Remarkably, the predicted pion TFF is identical to the
leading order QCD result where the distribution amplitude has asymptotic form.
The Chern-Simons form is local in AdS space and is thus somewhat limited in its
predictability. It only retains the q \bar q component of the pion
wavefunction, and further, it projects out only the asymptotic form of the
meson distribution amplitude. It is found that in order to describe
simultaneously the decay process \pi^0 \rightarrow gamma gamma and the pion TFF
at the asymptotic limit, a probability for the q \bar q component of the pion
wavefunction P_{q \bar q}=0.5 is required; thus giving indication that the
contributions from higher Fock states in the pion light-front wavefunction need
to be included in the analysis. The probability for the Fock state containing
four quarks (anti-quarks) which follows from analyzing the hadron matrix
elements, P_{q \bar q q \bar q} \sim 10 %, agrees with the analysis of the pion
elastic form factor using light-front holography including higher Fock
components in the pion wavefunction. The results for the TFFs for the eta and
eta^\prime mesons are also presented. The rapid growth of the pion TFF
exhibited by the BaBar data at high Q^2 is not compatible with the models
discussed in this article, whereas the theoretical calculations are in
agreement with the experimental data for the eta and eta^\prime TFFs.Comment: 37 pages, 7 figures; matches the version published in PRD:
http://link.aps.org/doi/10.1103/PhysRevD.84.07501
Possible Origin of Fermion Chirality and Gut Structure From Extra Dimensions
The fundamental chiral nature of the observed quarks and leptons and the
emergence of the gauge group itself are most puzzling aspects of the standard
model. Starting from general considerations of topological properties of gauge
field configurations in higher space-time dimensions, it is shown that the
existence of non-trivial structures in ten dimensions would determine a class
of models corresponding to a grand unified GUT structure with complex fermion
representations with respect to . The
discussion is carried out within the framework of string theories with
characteristic energy scales below the Planck mass. Avoidance of topological
obstructions upon continuous deformation of field configurations leads to
global chiral symmetry breaking of the underlying fundamental theory, imposes
rigorous restrictions on the structure of the vacuum and space-time itself and
determines uniquely the gauge structure and matter content.Comment: final version to appear in Phys. Rev.
AdS/QCD and Light Front Holography: A New Approximation to QCD
The combination of Anti-de Sitter space (AdS) methods with light-front
holography leads to a semi-classical first approximation to the spectrum and
wavefunctions of meson and baryon light-quark bound states. Starting from the
bound-state Hamiltonian equation of motion in QCD, we derive relativistic
light-front wave equations in terms of an invariant impact variable zeta which
measures the separation of the quark and gluonic constituents within the hadron
at equal light-front time. These equations of motion in physical space-time are
equivalent to the equations of motion which describe the propagation of spin-J
modes in anti--de Sitter (AdS) space. Its eigenvalues give the hadronic
spectrum, and its eigenmodes represent the probability distributions of the
hadronic constituents at a given scale. Applications to the light meson and
baryon spectra are presented. The predicted meson spectrum has a string-theory
Regge form ; i.e., the square of the
eigenmass is linear in both L and n, where n counts the number of nodes of the
wavefunction in the radial variable zeta. The space-like pion and nucleon form
factors are also well reproduced. One thus obtains a remarkable connection
between the description of hadronic modes in AdS space and the Hamiltonian
formulation of QCD in physical space-time quantized on the light-front at fixed
light-front time. The model can be systematically improved by using its
complete orthonormal solutions to diagonalize the full QCD light-front
Hamiltonian or by applying the Lippmann-Schwinger method in order to
systematically include the QCD interaction terms.Comment: Invited talk, presented by SJB at the Fifth International Conference
On Quarks and Nuclear Physics (QNP09), 21-26 Sep 2009, Beijing, China. Figure
update
Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
This document presents the initial scientific case for upgrading the
Continuous Electron Beam Accelerator Facility (CEBAF) at Jefferson Lab (JLab)
to 22 GeV. It is the result of a community effort, incorporating insights from
a series of workshops conducted between March 2022 and April 2023. With a track
record of over 25 years in delivering the world's most intense and precise
multi-GeV electron beams, CEBAF's potential for a higher energy upgrade
presents a unique opportunity for an innovative nuclear physics program, which
seamlessly integrates a rich historical background with a promising future. The
proposed physics program encompass a diverse range of investigations centered
around the nonperturbative dynamics inherent in hadron structure and the
exploration of strongly interacting systems. It builds upon the exceptional
capabilities of CEBAF in high-luminosity operations, the availability of
existing or planned Hall equipment, and recent advancements in accelerator
technology. The proposed program cover various scientific topics, including
Hadron Spectroscopy, Partonic Structure and Spin, Hadronization and Transverse
Momentum, Spatial Structure, Mechanical Properties, Form Factors and Emergent
Hadron Mass, Hadron-Quark Transition, and Nuclear Dynamics at Extreme
Conditions, as well as QCD Confinement and Fundamental Symmetries. Each topic
highlights the key measurements achievable at a 22 GeV CEBAF accelerator.
Furthermore, this document outlines the significant physics outcomes and unique
aspects of these programs that distinguish them from other existing or planned
facilities. In summary, this document provides an exciting rationale for the
energy upgrade of CEBAF to 22 GeV, outlining the transformative scientific
potential that lies within reach, and the remarkable opportunities it offers
for advancing our understanding of hadron physics and related fundamental
phenomena.Comment: Updates to the list of authors; Preprint number changed from theory
to experiment; Updates to sections 4 and 6, including additional figure