Light-front dynamic analysis of the longitudinal charge density using the solvable scalar field model in (1+1) dimensions

Choi, Yongwoo; Choi, Ho-Meoyng; Ji, Chueng-Ryong; Oh, Yongseok

doi:10.1103/physrevd.103.076002

Title: Light-front dynamic analysis of the longitudinal charge density using the solvable scalar field model in (1+1) dimensions

Journal Article · 01 April 2021 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.103.076002 · OSTI ID:1773567

Choi, Yongwoo ^[1];

^[1];

^[2];

^[3]

Kyungpook National Univ., Daegu (Korea)
North Carolina State Univ., Raleigh, NC (United States)
Kyungpook National Univ., Daegu (Korea); Asia Pacific Center for Theoretical Physics, Gyeongbuk (Korea)

We investigate the electromagnetic form factor F(q²) of the meson by using the solvable Φ³ scalar field model in (1+1) dimensions. As the transverse rotations are absent in (1+1) dimensions, the advantage of the light-front dynamics (LFD) with the light-front time x⁺ = x⁰ + x³ as the evolution parameter is maximized in contrast to the usual instant form dynamics (IFD) with the ordinary time x⁰ as the evolution parameter. In LFD, the individual x⁺-ordered amplitudes contributing to F(q²) are invariant under the boost, i.e., frame independent, while the individual x⁰-ordered amplitudes in IFD are not invariant under the boost but dependent on the reference frame. The LFD allows us to get the analytic result for the one-loop triangle diagram which covers not only the spacelike (q² < 0) but also timelike (q² > 0) region. Using the analytic results, we verify that the real and imaginary parts of the form factor satisfy the dispersion relations in the entire q² space. Comparing with the results in (3+1) dimensions, we discuss the transverse momentum effects on F(q²). We also discuss the longitudinal charge density in terms of the boost-invariant variable ˜z = p⁺x^– in LFD.

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Research Organization:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Research Foundation of Korea (NRF); USDOE

Grant/Contract Number:: FG02-03ER41260; NRF-2020R1F1A106799; NRF-2020R1A2C100759; NRF-2018R1A6A1A0602497

OSTI ID:: 1773567

Alternate ID(s):: OSTI ID: 1774071

Journal Information:: Physical Review. D., Vol. 103, Issue 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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