29 research outputs found
Hamiltonian light-front field theory within an AdS/QCD basis
Non-perturbative Hamiltonian light-front quantum field theory presents
opportunities and challenges that bridge particle physics and nuclear physics.
Fundamental theories, such as Quantum Chromodynmamics (QCD) and Quantum
Electrodynamics (QED) offer the promise of great predictive power spanning
phenomena on all scales from the microscopic to cosmic scales, but new tools
that do not rely exclusively on perturbation theory are required to make
connection from one scale to the next. We outline recent theoretical and
computational progress to build these bridges and provide illustrative results
for nuclear structure and quantum field theory. As our framework we choose
light-front gauge and a basis function representation with two-dimensional
harmonic oscillator basis for transverse modes that corresponds with
eigensolutions of the soft-wall AdS/QCD model obtained from light-front
holography.Comment: To appear in the proceedings of Light-Cone 2009: Relativistic
Hadronic and Particle Physics, July 8-13, 2009, Sao Jose dos Campos, Brazi
Spectroscopy of fermionic operators in AdS/CFT
We compute the spectrum of color-singlet fermionic operators in the N=2 gauge
theory on intersecting D3 and D7-branes using the AdS/CFT correspondence. The
operator spectrum is found analytically by solving the equations for the dual
D7-brane fluctuations. For the fermionic part of the D7-brane action, we use
the Dirac-like form found by Martucci et al. (hep-th/0504041). We also consider
the baryon spectrum of a large class of supersymmetric gauge theories using a
phenomenological approach to the gauge/gravity duality.Comment: 19 pages, 2 tables, references adde
Mesons and baryons in a soft-wall holographic approach
We discuss a holographic soft-wall model developed for the description of
mesons and baryons with adjustable quantum numbers n, J, L, S. This approach is
based on an action which describes hadrons with broken conformal invariance and
which incorporates confinement through the presence of a background dilaton
field.Comment: 6 pages, Presented by Valery E. Lyubovitskij at LIGHTCONE 2011, 23 -
27 May, 2011, Dalla
Regge Trajectories for Mesons in the Holographic Dual of Large-N_c QCD
We discuss Regge trajectories of dynamical mesons in large-N_c QCD, using the
supergravity background describing N_c D4-branes compactified on a thermal
circle. The flavor degrees of freedom arise from the addition of N_f<<N_c D6
probe branes. Our work provides a string theoretical derivation, via the
gauge/string correspondence, of a phenomenological model describing the meson
as rotating point-like massive particles connected by a flux string. The
massive endpoints induce nonlinearities for the Regge trajectory. For light
quarks the Regge trajectories of mesons are essentially linear. For massive
quarks our trajectories qualitatively capture the nonlinearity detected in
lattice calculations.Comment: 21 pages, 4 figures. v2: typos corrected, references and
acknowledgments adde
Light-Front Holography, Light-Front Wavefunctions, and Novel QCD Phenomena
Light-Front Holography, a remarkable feature of the AdS/CFT correspondence,
maps amplitudes in anti-de Sitter (AdS) space to frame-independent light-front
wavefunctions of hadrons in physical space-time. The model leads to an
effective confining light-front QCD Hamiltonian and a single-variable
light-front Schrodinger equation which determines the eigenspectrum and the
light-front wavefunctions of hadrons for general spin and orbital angular
momentum. The coordinate z in AdS space is identified with a Lorentz-invariant
coordinate zeta which measures the separation of the constituents within a
hadron at equal light-front time and determines the off-shell dynamics of the
bound-state wavefunctions and the fall-off in the invariant mass of the
constituents. The soft-wall holographic model, modified by a positive-sign
dilaton metric, leads to a remarkable one-parameter description of
nonperturbative hadron dynamics -- a semi-classical frame-independent first
approximation to the spectra and light-front wavefunctions of meson and
baryons. The model predicts a Regge spectrum of linear trajectories with the
same slope in the leading orbital angular momentum L of hadrons and the radial
quantum number n. The hadron eigensolutions projected on the free Fock basis
provides the complete set of valence and non-valence light-front Fock state
wavefunctions which describe the hadron's momentum and spin distributions
needed to compute measures of hadron structure at the quark and gluon level.
The effective confining potential also creates quark- antiquark pairs. The
AdS/QCD 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 to systematically include the QCD interaction
terms. A new perspective on quark and gluon condensates is also presented.Comment: Presented at LIGHTCONE 2011, 23 - 27 May, 2011, Dallas, T
Electron Anomalous Magnetic Moment in Basis Light-Front Quantization Approach
We apply the Basis Light-Front Quantization (BLFQ) approach to the
Hamiltonian field theory of Quantum Electrodynamics (QED) in free space. We
solve for the mass eigenstates corresponding to an electron interacting with a
single photon in light-front gauge. Based on the resulting non-perturbative
ground state light-front amplitude we evaluate the electron anomalous magnetic
moment. The numerical results from extrapolating to the infinite basis limit
reproduce the perturbative Schwinger result with relative deviation less than
0.6%. We report significant improvements over previous works including the
development of analytic methods for evaluating the vertex matrix elements of
QED.Comment: 6 pages, 1 figure, proceeding for Lightcone 2011 conferenc
Hamiltonian Light-Front Field Theory: Recent Progress and Tantalizing Prospects
Fundamental theories, such as Quantum Electrodynamics (QED) and Quantum
Chromodynamics (QCD) promise great predictive power addressing phenomena over
vast scales from the microscopic to cosmic scales. However, new
non-perturbative tools are required for physics to span from one scale to the
next. I outline recent theoretical and computational progress to build these
bridges and provide illustrative results for Hamiltonian Light Front Field
Theory. One key area is our development of basis function approaches that cast
the theory as a Hamiltonian matrix problem while preserving a maximal set of
symmetries. Regulating the theory with an external field that can be removed to
obtain the continuum limit offers additional possibilities as seen in an
application to the anomalous magnetic moment of the electron. Recent progress
capitalizes on algorithm and computer developments for setting up and solving
very large sparse matrix eigenvalue problems. Matrices with dimensions of 20
billion basis states are now solved on leadership-class computers for their
low-lying eigenstates and eigenfunctions.Comment: 8 pages with 2 figure
Dynamics of Baryons from String Theory and Vector Dominance
We consider a holographic model of QCD from string theory, a la Sakai and
Sugimoto, and study baryons. In this model, mesons are collectively realized as
a five-dimensional \ Yang-Mills field and baryons
are classically identified as solitons with a unit Pontryagin number
and electric charges. The soliton is shown to be very small in the large
't Hooft coupling limit, allowing us to introduce an effective field . Its coupling to the mesons are dictated by the soliton structure, and
consists of a direct magnetic coupling to the field strength as well
as a minimal coupling to the gauge field. Upon the dimensional
reduction, this effective action reproduces all interaction terms between
nucleons and an infinite tower of mesons in a manner consistent with the large
expansion. We further find that all electromagnetic interactions, as
inferred from the same effective action via a holographic prescription, are
mediated by an infinite tower of vector mesons, rendering the baryon
electromagnetic form factors completely vector-dominated as well. We estimate
nucleon-meson couplings and also the anomalous magnetic moments, which compare
well with nature.Comment: 65pages, 3 figures, vector mesons and axial-vector mesons are now
canonically normalized (comparisons with data and conclusions unaffected
Veneziano like amplitude as a test for AdS/QCD models
The high energy asymptotics of QCD correlation functions is often used as a
test for bottom-up holographic models. Since QCD is not strongly coupled in the
ultraviolet domain, such a test may look questionable. We propose that the sum
over resonance poles emerging in correlators of a bottom-up model should
reproduce the structure of a Veneziano like amplitude at zero momentum transfer
assuming equivalence of spin and radial states in the latter. This requires a
five-dimensional background that suppresses the ultraviolet part in the
effective action of a model. We give examples of emerging low-energy
holographic models.Comment: 9 pages, accepted by the European Physical Journal C. arXiv admin
note: substantial text overlap with arXiv:1102.274