Hadrons on a transverse lattice

Dalley, S.

doi:10.1016/s0920-5632(02)01318-x

Cited by 9 publications

(9 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Reviews of nonperturbative light-front methods may be found in Refs. [1,2,3]. One of the central issues in the analysis of fundamental hadron structure is the presence of nonzero orbital angular momentum in the bound-state wave functions.…”

Section: Introductionmentioning

confidence: 99%

Covariant structure of light-front wave functions and the behavior of hadronic form factors

et al. 2004

View full text Add to dashboard Cite

We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector ω µ . The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituentsand the light-cone momentum fractions x i = k i ·ω/p·ω multiplied by invariants constructed from the spin matrices, polarization vectors, and ω µ . These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons. They correspond to the spin-locking of a quark with the spin of its parent nucleon, together with a positive-energy projection constraint. These extra constraints lead to anomalous dependence of form factors on Q rather than Q 2 . In contrast, the dependence of LFWFs on M 2 0 implies that hadron form factors are analytic functions of Q 2 in agreement with dispersion theory and perturbative QCD. We show that a model incorporating the leading-twist perturbative QCD prediction is consistent with recent data for the ratio of proton Pauli and Dirac form factors.

show abstract

Section: Introductionmentioning

confidence: 99%

Covariant structure of light-front wave functions and the behavior of hadronic form factors

et al. 2004

View full text Add to dashboard Cite

show abstract

“…The determination of the hadron LFWFs from phenomenological constraints and from QCD itself is a central goal of hadron and nuclear physics. Reviews of nonperturbative light-front methods may be found in the references [47,46,48,49]. A potentially important method is to construct the qq Green's function using light-front Hamiltonian theory, with DLCQ boundary conditions and Lippmann-Schwinger resummation.…”

Section: Light-front Quantizationmentioning

confidence: 99%

Conformal Symmetry as a Template for QCD

Brodsky¹

2004

View full text Add to dashboard Cite

Conformal symmetry is broken in physical QCD; nevertheless, one can use conformal symmetry as a template, systematically correcting for its nonzero β function as well as higher-twist effects. For example, commensurate scale relations which relate QCD observables to each other, such as the generalized Crewther relation, have no renormalization scale or scheme ambiguity and retain a convergent perturbative structure which reflects the underlying conformal symmetry of the classical theory. The "conformal correspondence principle" also dictates the form of the expansion basis for hadronic distribution amplitudes. The AdS/CFT correspondence connecting superstring theory to superconformal gauge theory has important implications for hadron phenomenology in the conformal limit, including an all-orders demonstration of counting rules for hard exclusive processes as well as determining essential aspects of hadronic light-front wavefunctions. Theoretical and phenomenological evidence is now accumulating that QCD couplings based on physical observables such as τ decay become constant at small virtuality; i.e., effective charges develop an infrared fixed point in contradiction to the usual assumption of singular growth in the infrared. The near-constant behavior of effective couplings also suggests that QCD can be approximated as a conformal theory even at relatively small momentum transfer. The importance of using an analytic effective charge such as the pinch scheme for unifying the electroweak and strong couplings and forces is also emphasized.

show abstract

“…One therefore again may have to resort to approach the lightlike from spacelike compact directions which in turn would require an accompanying change in gauge. These problems have to be investigated if vacuum properties are to be determined within approaches to light-cone quantizations which make use of a compact x − direction such as DLCQ [8,9,10,11] or the transverse lattice approach [12,13,14,15].…”

Section: Lightlike and Spacelike Compactificationsmentioning

confidence: 99%

Casimir effect on the light cone

Lenz

Steinbacher

2003

Phys. Rev. D

View full text Add to dashboard Cite

The Casimir effect is investigated in light-cone quantization. It is shown that for spacelike separation of the walls enclosing the system the standard result for the pressure exerted on the walls is obtained. For walls separated in light-cone space direction no regularization of the quantum fluctuations exists which would yield a finite pressure. The origin of this failure and its implications for other vacuum properties are discussed by analyzing the Casimir effect as seen from a moving observer approaching the speed of light. The possibility for calculation of thermodynamic quantities in light-cone quantization via the Casimir effect is pointed out.

show abstract

Hadrons on a transverse lattice

Cited by 9 publications

References 5 publications

Covariant structure of light-front wave functions and the behavior of hadronic form factors

Covariant structure of light-front wave functions and the behavior of hadronic form factors

Conformal Symmetry as a Template for QCD

Casimir effect on the light cone

Contact Info

Product

Resources

About