Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations

Karmanov, V. A.; Li, Yang; Smirnov, Alexander; Vary, James P.

doi:10.1103/physrevd.94.096008

Cited by 16 publications

(12 citation statements)

References 19 publications

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“…This suggestion of a useful metric also applies to other observables. The hope is that, as more Fock sectors are included, the frame dependence may be reduced, as is shown in some specific models [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Frame dependence of form factors in light-front dynamics

Li¹,

Maris²,

Vary³

2018

Phys. Rev. D

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In light-front dynamics, form factors are traditionally computed with the "good current" J þ within the Drell-Yan frame q þ ¼ 0. Due to truncations imposed in practical calculations, the from factor may acquire frame dependence, which is often neglected. In this work, we explore the form factors in more general frames, preserving the boost covariance. We find the frame dependence of the elastic form factors for mesons is small in basis light-front holography and related models with two-body Fock space truncation. We suggest to use the difference between form factor results from Drell-Yan frame and the "longitudinal frame" as a metric for the violation of the Lorentz symmetry due to Fock space truncation.

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Section: Introductionmentioning

confidence: 99%

Frame dependence of form factors in light-front dynamics

Li¹,

Maris²,

Vary³

2018

Phys. Rev. D

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“…BLFQ has the advantage of being able to solve bound state problems involving positronium [37] and hadron structures [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53]. In this paper we follow previous work on the physical electron eigenstates in BLFQ [54].…”

Section: B Basis Light-front Quantizationmentioning

confidence: 99%

Scattering in strong electromagnetic fields: Transverse size effects in time-dependent basis light-front quantization

Ilderton

Zhao

2020

Phys. Rev. D

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The framework of "time-dependent basis light-front quantization" (tBLFQ) offers a nonperturbative approach to scattering problems in external fields, based on Fock space truncation. Here we extend tBLFQ to include spatio-temporal field inhomogeneities in multiple spacetime directions. This extension is necessary for the proper modeling of e.g. intense laser fields. We focus on the example of nonlinear Compton scattering of an electron on an axicon-type laser, with an emphasis on the transverse structure of the beam. We analyze the impact of field intensity and particle energy, as well as basis truncation effects, on the radiation spectrum of the scattered electron.

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“…Basis Light-front Quantization (BLFQ) [1] has been constructed as a nonperturbative method for solving the structure of relativistic bound states in the light-front Hamiltonian formalism. BLFQ has been applied to various hadron systems [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and to positronium [20]. Recently BLFQ has been extended to time-dependent Basis Light-front Quantization (tBLFQ) [21].…”

Section: Introductionmentioning

confidence: 99%

Pair production in strong electric fields

Lei¹,

Hu²,

Zhao³

2022

Preprint

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We study the electron-positron pair production process in strong background electric fields with spatio-temporal inhomogeneity in the time-dependent Basis Light-front Quantization approach. We calculate the observables such as the invariant mass and the longitudinal momentum distribution of the produced pairs as functions of evolution time and compare the vacuum decay rate with that of the Schwinger effect. We observe a critical intensity of background field, above which the vacuum decay rate is no longer oscillating with time periodically as in perturbation theory. This work may provide the foundation for the study of the pair production process in strong fields with realistic spacetime structures.

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Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations

Cited by 16 publications

References 19 publications

Frame dependence of form factors in light-front dynamics

Frame dependence of form factors in light-front dynamics

Scattering in strong electromagnetic fields: Transverse size effects in time-dependent basis light-front quantization

Pair production in strong electric fields

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