Quantum Field Theories in the Infinite-Momentum Frame. I. Quantization of Scalar and Dirac Fields

Chang, Shau‐Jin; Root, Robert G.; Yan, Tung-Mow

doi:10.1103/physrevd.7.1133

Cited by 191 publications

(151 citation statements)

References 39 publications

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“…its minimal set of dynamical operators, the simplicity of the light-front vacuum, and the close connection to experimental observables. Light front techniques have long been used in analyzing high energy experiments with nuclear and nucleon targets [2,3,4,5]. Indeed light front dynamics is relevant to describe such reactions, since, for example: in the parton model, the ratio k + / p + (where k + = k 0 + k 3 is the plus momentum of the struck quark and p + that of the target) is nothing more than the Bjorken x-variable.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic properties of Hulthén model form factors on the light front

2001

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We use light-front dynamics to calculate the electromagnetic form-factor for the Hulthén model of the deuteron. For small momentum transfer Q 2 < 5 GeV 2 the relativistic effects are quite small. For Q 2 ∼ 11 GeV 2 there is ∼ 13% discrepancy between the relativistic and non-relativistic approaches. For asymptotically large momentum transfer, however, the light-front form factor, ∼ log Q 2 /Q 4 , markedly differs from the non-relativistic version, ∼ 1/Q 4 . This behavior is also present for any wave function, such as those obtained from realistic potential models, which can be represented as a sum of Yukawa functions. Furthermore, the asymptotic behavior is in disagreement with the Drell-Yan-West relation. We investigate precisely how to determine the asymptotic behavior and confront the problem underlying troublesome form factors on the light front.

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Section: Introductionmentioning

confidence: 99%

Asymptotic properties of Hulthén model form factors on the light front

2001

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“…In effect, the q + → 0 limit generates δ(x) contributions as residues of the n + 1 → n − 1 contributions. The necessity for such "zero mode" δ(x) terms has been noted by Chang, Root and Yan [11], Burkardt [12], and Choi and Ji [13]. We can avoid these contributions by restricting our attention to the plus currents J + and T ++ .…”

Section: Introductionmentioning

confidence: 99%

“…The internal momentum variables for the final state wavefunction are given by Eqs. (10) and (11). The subscripts of x i and k ⊥i label constituent particles, the superscripts of q 1 ⊥ , k 1 ⊥ , and k 2 ⊥ label the Lorentz indices, and the subscript a in ψ a indicates the contributing Fock state.…”

Section: The Anomalous Gravitomagnetic Moment For Composite Systemsmentioning

confidence: 99%

Light-cone representation of the spin and orbital angular momentum of relativistic composite systems

Hwang

2002

Nuclear Physics B - Proceedings Supplements

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The matrix elements of local operators such as the electromagnetic current, the energy momentum tensor, angular momentum, and the moments of structure functions have exact representations in terms of light-cone Fock state wavefunctions of bound states such as hadrons. We illustrate all of these properties by giving explicit light-cone wavefunctions for the two-particle Fock state of the electron in QED, thus connecting the Schwinger anomalous magnetic moment to the spin and orbital momentum carried by its Fock state constituents. We also compute the QED one-loop radiative corrections for the form factors for the graviton coupling to the electron and photon. Although the underlying model is derived from elementary QED perturbative couplings, it in fact can be used to simulate much more general bound state systems by applying spectral integration over the constituent masses while preserving all of the Lorentz properties, giving explicit realization of the spin sum rules and other local matrix elements. The role of orbital angular momentum in understanding the "spin crisis" problem for relativistic systems is clarified. We also prove that the anomalous gravitomagnetic moment B(0) vanishes for any composite system. This property is shown to follow directly from the Lorentz boost properties of the lightcone Fock representation and holds separately for each Fock state component. We show how the QED perturbative structure can be used to model bound state systems while preserving all Lorentz properties. We thus obtain a theoretical laboratory to test the consistency of formulae which have been proposed to probe the spin structure of hadrons.

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“…(24) rather than those that appear in Eq. (14). Since one steps back from a divergent quantum theory with interaction to the initial classical one and then quantizes the classical theory again using new degrees of freedom, for which the troublesome divergence turns out to cancel out, the IF cure for the vacuum problem can be called re-quantization.…”

Section: If Re-quantization Approach To the Mass Mixing Interaction Amentioning

confidence: 99%

Fermion Mass Mixing in Vacuum

Głazek

2013

Few-Body Syst

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Renormalization group procedure for effective particles is applied to a theory of fermions that interact only through mass mixing terms in their Hamiltonian. Problems with virtual pair production in vacuum are avoided by using the front form of Hamiltonian dynamics. Masses and states of physical fermions emerge at the end of a calculation that is carried out exactly irrespective of the strength of the mass mixing terms. An a priori infinite set of renormalization group equations for all momentum modes of fermion quantum fields is reduced to just one equation for a two-by-two mass matrix. In distinction from scalars, fermions never become tachyons but appear chirally rotated when the mass mixing interaction term is sufficiently strong.

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Quantum Field Theories in the Infinite-Momentum Frame. I. Quantization of Scalar and Dirac Fields

Cited by 191 publications

References 39 publications

Asymptotic properties of Hulthén model form factors on the light front

Asymptotic properties of Hulthén model form factors on the light front

Light-cone representation of the spin and orbital angular momentum of relativistic composite systems

Fermion Mass Mixing in Vacuum

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