|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Light-Front Holography and Superconformal Quantum Mechanics: A New Approach to Hadron Structure and Color Confinement | | S. J. Brodsky
; A. Deur
; G. F. de Teramond
; H. G. Dosch
; | | Date: |
Mon, 5 Oct 2015 01:09:52 GMT (1898kb,D) | | Abstract: | A primary question in hadron physics is how the mass scale for hadrons
consisting of light quarks, such as the proton, emerges from the QCD Lagrangian
even in the limit of zero quark mass. If one requires the effective action
which underlies the QCD Lagrangian to remain conformally invariant and extends
the formalism of de Alfaro, Fubini and Furlan to light-front Hamiltonian
theory, then a unique, color-confining potential with a mass parameter $kappa$
emerges. The actual value of the parameter $kappa$ is not set by the model -
only ratios of hadron masses and other hadronic mass scales are predicted. The
result is a nonperturbative, relativistic light-front quantum mechanical wave
equation, the Light-Front Schr"odinger Equation which incorporates color
confinement and other essential spectroscopic and dynamical features of hadron
physics, including a massless pion for zero quark mass and linear Regge
trajectories with the identical slope in the radial quantum number $n$ and
orbital angular momentum $L$. The same light-front equations for mesons with
spin $J$ also can be derived from the holographic mapping to QCD (3+1) at fixed
light-front time from the soft-wall model modification of AdS$_5$ space with a
specific dilaton profile. Light-front holography thus provides a precise
relation between the bound-state amplitudes in the fifth dimension of AdS space
and the boost-invariant light-front wavefunctions describing the internal
structure of hadrons in physical space-time. One can also extend the analysis
to baryons using superconformal algebra - $2 imes 2$ supersymmetric
representations of the conformal group. The resulting fermionic LF bound-state
equations predict striking similarities between the meson and baryon spectra.
In fact, the holographic QCD light-front Hamiltonians for the states on the
meson and baryon trajectories are identical if one shifts the internal
angular... | | Source: | arXiv, 1510.1011 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER