Poincaré invariant algebra from instant to light-front quantization

Ji, Chueng‐Ryong; Mitchell, Chad

doi:10.1103/physrevd.64.085013

Cited by 28 publications

(55 citation statements)

References 47 publications

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“…Note that the three cases above cannot be related by a Lorentz transformation. In order to investigate the transition between spacelike and timelike field inhomogeneities we will therefore consider electric fields depending on a single interpolating coordinate of the form (1 − α)t + αz for α ∈ [0, 1], following [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Nonperturbative pair production in interpolating fields

2015

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We compare the effects of timelike, lightlike and spacelike one-dimensional inhomogeneities on the probability of nonperturbative pair production in strong fields. Using interpolating coordinates we give a unifying picture in which the effect of the inhomogeneity is encoded in branch cuts and poles circulated by complex worldline instantons. For spacelike inhomogeneities the length of the cut is related to the existence of critical points, while for lightlike inhomogeneities the cut contracts to a pole and the instantons become contractable to points, leading to simplifications particular to the lightlike case. We calculate the effective action in fields with up to three nonzero components, and investigate its behaviour under changes in field dependence.

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Section: Introductionmentioning

confidence: 99%

Nonperturbative pair production in interpolating fields

2015

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“…To trace the forms of relativistic quantum field theory between IFD and LFD, we take the following convention of the space-time coordinates to define the interpolation angle [9][10][11][12][13]: xþ…”

Section: Introductionmentioning

confidence: 99%

Interpolating quantum electrodynamics between instant and front forms

Ji¹,

Li²,

Ma³

et al. 2018

Phys. Rev. D

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The instant form and the front form of relativistic dynamics proposed by Dirac in 1949 can be linked by an interpolation angle parameter δ spanning between the instant form dynamics (IFD) at δ ¼ 0 and the front form dynamics, which is now known as the light-front dynamics (LFD) at δ ¼ π=4. We present the formal derivation of the interpolating quantum electrodynamics (QED) in the canonical field theory approach and discuss the constraint fermion degree of freedom, which appears uniquely in the LFD. The constraint component of the fermion degrees of freedom in LFD results in the instantaneous contribution to the fermion propagator, which is genuinely distinguished from the ordinary equal-time forward and backward propagation of relativistic fermion degrees of freedom. As discussed recently, the helicity of the on-massshell fermion spinors in LFD is also distinguished from the ordinary Jacob-Wick helicity in the IFD with respect to whether the helicity depends on the reference frame or not. To exemplify the characteristic difference of the fermion propagator between IFD and LFD, we compute the helicity amplitudes of typical QED processes such as e þ e − → γγ and eγ → eγ and present the whole landscape of the scattering amplitudes in terms of the frame dependence or the scattering angle dependence with respect to the interpolating angle dependence. Our analysis clarifies any conceivable confusion in the prevailing notion of the equivalence between the infinite momentum frame approach and the LFD.

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“…The IFD and the LFD can be interpolated [6][7][8][9][10] by an interpolation angle between the ordinary time t and the light-front time τ. Introducing the interpolating scattering amplitude [8][9][10] that links the corresponding time-ordered amplitudes between the two forms of dynamics, we discussed the physical meaning of the kinematic transformations in contrast to the dynamic transformations by means of checking the invariance of each individual time-ordered amplitude for an arbitrary interpolation angle.…”

Section: Interpolating Scattering Amplitudesmentioning

confidence: 99%

“…To trace the forms of relativistic quantum field theory between IFD and LFD, we begin by adopting the following convention of the space-time coordinates to define the interpolation angle [6][7][8][9][10]:…”

Section: Interpolating Scattering Amplitudesmentioning

confidence: 99%

Light-front field theory in the description of hadrons

2017

EPJ Web Conf.

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Abstract. We discuss the use of light-front field theory in the descriptions of hadrons. In particular, we clarify the confusion in the prevailing notion of the equivalence between the infinite momentum frame and the light-front dynamics and the advantage of the lightfront dynamics in hadron physics. As an application, we present our recent work on the flavor asymmetry in the proton sea and identify the presence of the delta-function contributions associated with end-point singularities arising from the chiral effective theory calculation. The results pave the way for phenomenological applications of pion cloud models that are manifestly consistent with the chiral symmetry properties of QCD.

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Poincaré invariant algebra from instant to light-front quantization

Cited by 28 publications

References 47 publications

Nonperturbative pair production in interpolating fields

Nonperturbative pair production in interpolating fields

Interpolating quantum electrodynamics between instant and front forms

Light-front field theory in the description of hadrons

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