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 z {yields} 0, as well as modifications of the geometry in the large z 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 {zeta} 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 z in AdS space with the impact variable {zeta}. 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.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 1022479
- Report Number(s):
- SLAC-PUB-14393; arXiv:1103.1100; TRN: US1104238
- Journal Information:
- J.Phys.Conf.Ser.287:012007,2011, Conference: InvitedThe XIV Mexican School on Particles and Fields, of Morelia, Michoacan, Mexico, 11/8/2010-11/12/2010
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BOUND STATE
CONFINEMENT
EDUCATIONAL FACILITIES
EQUATIONS OF MOTION
GEOMETRY
HADRONS
HAMILTONIANS
HOLOGRAPHY
MODIFICATIONS
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUARKS
SEMICLASSICAL APPROXIMATION
SPACE-TIME
TRANSITION AMPLITUDES
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