Frame dependence of form factors in light-front dynamics

Li, Yang; Maris, Pieter; Vary, James P.

doi:10.1103/PhysRevD.97.054034

Title: Frame dependence of form factors in light-front dynamics

Abstract

In light-front dynamics, form factors are traditionally computed with the “good current” J⁺ within the Drell-Yan frame q⁺ = 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.

Authors:: Li, Yang; Maris, Pieter; Vary, James P.

Publication Date:: 2018-03-29

Research Org.:: College of William and Mary, Williamsburg, VA (United States); Iowa State Univ., Ames, IA (United States); University of North Carolina, Chapel Hill, NC (United States); Univ. of Tennessee, Knoxville, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1430381

Alternate Identifier(s):: OSTI ID: 1498958

Grant/Contract Number:: FG02-87ER40371; FG02-04ER41302; SC0018223; SC0015376

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Li, Yang, Maris, Pieter, and Vary, James P. Frame dependence of form factors in light-front dynamics.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.054034.

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                    Li, Yang, Maris, Pieter, & Vary, James P. Frame dependence of form factors in light-front dynamics.  United States.  https://doi.org/10.1103/PhysRevD.97.054034

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                    Li, Yang, Maris, Pieter, and Vary, James P. Thu .  
"Frame dependence of form factors in light-front dynamics".  United States.  https://doi.org/10.1103/PhysRevD.97.054034.

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@article{osti_1430381,

  title        = {Frame dependence of form factors in light-front dynamics},

  author       = {Li, Yang and Maris, Pieter and Vary, James P.},

  abstractNote = {In light-front dynamics, form factors are traditionally computed with the “good current” J+ within the Drell-Yan frame q+ = 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.},

  doi          = {10.1103/PhysRevD.97.054034},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {3}

}

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Cited by: 13 works

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FIG. 1. : LFWF representation of the hadron matrix element. The double-lines represent the hadrons. The solid lines represent the partons. The wavy lines represent the probing photon. The shaded areas represent the LFWFs. These diagrams are ordered by light-front time x⁺, which flows from left to right. The parton-number-nonconservingmore »

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Works referenced in this record:

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Works referencing / citing this record:

Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions
journal, March 2020

Freese, Adam; Cloët, Ian C.
Physical Review C, Vol. 101, Issue 3
DOI: 10.1103/physrevc.101.035203

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Title: Frame dependence of form factors in light-front dynamics

Abstract

Citation Formats

Figures / Tables:

Phenomenological Model for the Electromagnetic Structure of the Proton journal, May 1970

Anomalous magnetic moment and limits on fermion substructure journal, November 1980

Pion and kaon elastic form factors in a refined light-front model journal, September 2012

The electromagnetic form factor of the pion journal, August 1974

Exact light-cone wavefunction representation of matrix elements of electroweak currents journal, March 1999

Pseudoscalar mesons with symmetric bound state vertex functions on the light front journal, August 2015

Quantum chromodynamics and other field theories on the light cone journal, August 1998

Light-front Bethe-Salpeter equation journal, March 2000

Chiral symmetry in light-front QCD journal, April 2004

Nonperturbative light-front Hamiltonian methods journal, September 2016

Diffractive charmonium spectrum in high energy collisions in the basis light-front quantization approach journal, June 2017

The pion electromagnetic structure with self-energy journal, April 2016

The applicability of perturbative QCD to exclusive processes journal, May 1989

Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations journal, November 2016

Quarkonium as a relativistic bound state on the light front journal, July 2017

Heavy quarkonium in a holographic basis journal, July 2016

Dynamical vertex mass generation and chiral symmetry breaking on the light front journal, October 1998

Soft charge form factor of the pion journal, July 1992

Mesonic form factors and the Isgur-Wise function on the light front journal, February 1997

Advances in solving the two-fermion homogeneous Bethe-Salpeter equation in Minkowski space journal, October 2016

Fermionic bound states in Minkowski space: light-cone singularities and structure journal, November 2017

Comparison among Hamiltonian light-front formalisms at q + = 0 and q + ≠ 0 : Spacelike elastic form factors of pseudoscalar and vector mesons journal, September 2002

Non-perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation journal, March 2015

Basis Light-Front Quantization: Recent Progress and Future Prospects journal, May 2016

Quantum Electrodynamics and Renormalization Theory in the Infinite-Momentum Frame journal, December 1973

Broken chiral symmetry on a null plane journal, October 2013

Nonvanishing zero modes in the light-front current journal, September 1998

A light-front coupled-cluster method for the nonperturbative solution of quantum field theories journal, May 2012

Solving the Bethe-Salpeter equation for scalar theories in Minkowski space journal, June 1995

End-point singularities of Feynman graphs on the light cone journal, March 2003

Bound state equation for the Nakanishi weight function journal, June 2017

Pion Radius and Isovector Nucleon Radii in the Limit of Small Pion Mass journal, November 1972

Solving Bethe-Salpeter equation in Minkowski space journal, January 2006

Light-front holographic QCD and emerging confinement journal, July 2015

Quark-photon vertex and the pion charge radius journal, March 2000

Connection of Elastic Electromagnetic Nucleon Form Factors at Large Q 2 and Deep Inelastic Structure Functions Near Threshold journal, January 1970

The pion wave function in covariant light-front dynamics: Application to the calculation of various physical observables journal, February 2011

(3+1)-dimensional light-front model with spontaneous breaking of chiral symmetry journal, May 1997

Ab initio approach to the non-perturbative scalar Yukawa model journal, September 2015

Spin effects in the pion holographic light-front wavefunction journal, April 2017

Bethe–Salpeter bound-state structure in Minkowski space journal, August 2016

Explicitly covariant light-front dynamics and relativistic few-body systems journal, July 1998

Minkowski space pion model inspired by lattice QCD running quark mass journal, March 2017

Basis light-front quantization approach to positronium journal, May 2015

Euclidean to Minkowski Bethe–Salpeter amplitude and observables journal, January 2017

Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions journal, March 2020

Phenomenological Model for the Electromagnetic Structure of the Proton
journal, May 1970

Anomalous magnetic moment and limits on fermion substructure
journal, November 1980

Pion and kaon elastic form factors in a refined light-front model
journal, September 2012

The electromagnetic form factor of the pion
journal, August 1974

Exact light-cone wavefunction representation of matrix elements of electroweak currents
journal, March 1999

Pseudoscalar mesons with symmetric bound state vertex functions on the light front
journal, August 2015

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Light-front Bethe-Salpeter equation
journal, March 2000

Chiral symmetry in light-front QCD
journal, April 2004

Nonperturbative light-front Hamiltonian methods
journal, September 2016

Diffractive charmonium spectrum in high energy collisions in the basis light-front quantization approach
journal, June 2017

The pion electromagnetic structure with self-energy
journal, April 2016

The applicability of perturbative QCD to exclusive processes
journal, May 1989

Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
journal, November 2016

Quarkonium as a relativistic bound state on the light front
journal, July 2017

Heavy quarkonium in a holographic basis
journal, July 2016

Dynamical vertex mass generation and chiral symmetry breaking on the light front
journal, October 1998

Soft charge form factor of the pion
journal, July 1992

Mesonic form factors and the Isgur-Wise function on the light front
journal, February 1997

Advances in solving the two-fermion homogeneous Bethe-Salpeter equation in Minkowski space
journal, October 2016

Fermionic bound states in Minkowski space: light-cone singularities and structure
journal, November 2017

Comparison among Hamiltonian light-front formalisms at $q^{+} = 0$ and $q^{+} \neq 0 :$ Spacelike elastic form factors of pseudoscalar and vector mesons
journal, September 2002

Non-perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation
journal, March 2015

Basis Light-Front Quantization: Recent Progress and Future Prospects
journal, May 2016

Quantum Electrodynamics and Renormalization Theory in the Infinite-Momentum Frame
journal, December 1973

Broken chiral symmetry on a null plane
journal, October 2013

Nonvanishing zero modes in the light-front current
journal, September 1998

A light-front coupled-cluster method for the nonperturbative solution of quantum field theories
journal, May 2012

Solving the Bethe-Salpeter equation for scalar theories in Minkowski space
journal, June 1995

End-point singularities of Feynman graphs on the light cone
journal, March 2003

Bound state equation for the Nakanishi weight function
journal, June 2017

Pion Radius and Isovector Nucleon Radii in the Limit of Small Pion Mass
journal, November 1972

Solving Bethe-Salpeter equation in Minkowski space
journal, January 2006

Light-front holographic QCD and emerging confinement
journal, July 2015

Quark-photon vertex and the pion charge radius
journal, March 2000

Connection of Elastic Electromagnetic Nucleon Form Factors at Large $Q^{2}$ and Deep Inelastic Structure Functions Near Threshold
journal, January 1970

The pion wave function in covariant light-front dynamics: Application to the calculation of various physical observables
journal, February 2011

(3+1)-dimensional light-front model with spontaneous breaking of chiral symmetry
journal, May 1997

Ab initio approach to the non-perturbative scalar Yukawa model
journal, September 2015

Spin effects in the pion holographic light-front wavefunction
journal, April 2017

Bethe–Salpeter bound-state structure in Minkowski space
journal, August 2016

Explicitly covariant light-front dynamics and relativistic few-body systems
journal, July 1998

Minkowski space pion model inspired by lattice QCD running quark mass
journal, March 2017

Basis light-front quantization approach to positronium
journal, May 2015

Euclidean to Minkowski Bethe–Salpeter amplitude and observables
journal, January 2017

Impact of dynamical chiral symmetry breaking and dynamical diquark correlations on proton generalized parton distributions
journal, March 2020