Generalized parton distributions in a light-front nonperturbative approach

Chakrabarti, Dipankar; Zhao, Xingbo; Honkanen, H.; Manohar, R.; Maris, Pieter; Vary, James P.

doi:10.1103/physrevd.89.116004

Cited by 27 publications

(27 citation statements)

References 55 publications

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“…This is due to the fact that we consider only the quantum fluctuation into the |eγ Fock's sector which encodes the information on the structure of the physical electron, but if one considers the state of a physical electron as |e phy → |e + |eγ , the single particle(|e ) also contributes to the F 1,1 at exactly x = 1 which, with proper normalization, cancels the divergence. Since the GPD H is related to the GTMD F 1,1 , a similar behavior of F 1,1 has also been observed in H for physical electron [57]. We find F 1,2 = 0 in this model.…”

Section: Gtmds For Electronsupporting

confidence: 82%

Wigner distributions for an electron

Kumar

Mondal

2018

Nuclear Physics B

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We study the Wigner distributions for a physical electron, which reveal the multidimensional images of the electron. The physical electron is considered as a composite system of a bare electron and photon. The Wigner distributions for unpolarized, longitudinally polarized and transversely polarized electron are presented in transverse momentum plane as well as in impact-parameter plane. The spin-spin correlations between the bare electron and the physical electron are discussed. We also evaluate all the leading twist generalized transverse momentum distributions (GTMDs) for electron.

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Section: Gtmds For Electronsupporting

confidence: 82%

Wigner distributions for an electron

Kumar

Mondal

2018

Nuclear Physics B

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“…The electron itself is represented by a Fock-state expansion that includes dressing by photons and electron-positron pairs, as obtained from solving the Hamiltonian eigenvalue problem in QED. For the extension to generalized parton distributions [42], see the recent work of Chakrabarti et al [43].…”

Section: Wave Functionsmentioning

confidence: 99%

Nonperturbative light-front Hamiltonian methods

Hiller

2016

Progress in Particle and Nuclear Physics

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We examine the current state-of-the-art in nonperturbative calculations done with Hamiltonians constructed in light-front quantization of various field theories. The language of light-front quantization is introduced, and important (numerical) techniques, such as Pauli-Villars regularization, discrete light-cone quantization, basis light-front quantization, the light-front coupled-cluster method, the renormalization group procedure for effective particles, sector-dependent renormalization, and the Lanczos diagonalization method, are surveyed. Specific applications are discussed for quenched scalar Yukawa theory, φ 4 theory, ordinary Yukawa theory, supersymmetric Yang-Mills theory, quantum electrodynamics, and quantum chromodynamics. The content should serve as an introduction to these methods for anyone interested in doing such calculations and as a rallying point for those who wish to solve quantum chromodynamics in terms of wave functions rather than random samplings of Euclidean field configurations.

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“…Another recent application evaluates the electron GPDs [12]. In addition, BLFQ has been extended to time-dependent strong external field problems (tBLFQ) such as non-linear Compton scattering [13,14].…”

Section: Introductionmentioning

confidence: 99%

Basis light-front quantization approach to positronium

Wiecki¹,

Li²,

Zhao³

et al. 2015

Phys. Rev. D

131

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We present the first application of the recently developed Basis Light-Front Quantization (BLFQ) method to self-bound systems in quantum field theory, using the positronium system as a test case. Within the BLFQ framework, we develop a two-body effective interaction, operating only in the lowest Fock sector, that implements photon exchange, neglecting fermion self-energy effects. We then solve for the mass spectrum of this interaction at the unphysical coupling α = 0.3. The resulting spectrum is in good agreement with the expected Bohr spectrum of non-relativistic quantum mechanics. We examine in detail the dependence of the results on the regulators of the theory.

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Generalized parton distributions in a light-front nonperturbative approach

Cited by 27 publications

References 55 publications

Wigner distributions for an electron

Wigner distributions for an electron

Nonperturbative light-front Hamiltonian methods

Basis light-front quantization approach to positronium

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