Computing light-front wave functions without light-front quantization: A large-momentum effective theory approach

  title={Computing light-front wave functions without light-front quantization: A large-momentum effective theory approach},
  author={Xiangdong Ji and Yizhuang Liu},
  journal={Physical Review D},
Light-front wave functions play a fundamental role in the light-front quantization approach to QCD and hadron structure. However, a naive implementation of the light-front quantization suffers from various subtleties including the well-known zero-mode problem, the associated rapidity divergences which mixes ultra-violet divergences with infrared physics, as well as breaking of spatial rotational symmetry. We advocate that the light-front quantization should be viewed as an effective theory in… 

Figures from this paper

Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions

In the framework of large-momentum effective theory at one-loop matching accuracy, we perform a lattice calculation of the Collins-Soper kernel which governs the rapidity evolution of

Rapidity evolution of the entanglement entropy in quarkonium: Parton and string duality

We investigate the quantum entanglement in rapidity space of the soft gluon wave function of a quarkonium, in theories with non-trivial rapidity evolutions. We found that the rapidity evolution

Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory

: We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum

Factorization connecting continuum & lattice TMDs

It is shown that there is no mixing between various quark flavors or gluons when matching Collins and quasi TMDs, making the lattice calculation of individual flavors and gluon T MDs easier than anticipated.

One-loop matching for gluon lattice TMDs

This work focuses on the leading-power factorization formula connecting the lattice quasi-TMD and continuum Collins TMD for gluons, and calculates the one-loop gluon matching coefficient, which is known to be independent of spin and exhibits no mixing with quarks.

GTMDs and the factorization of exclusive double Drell-Yan

Di ff erent exclusive processes have been proposed to access the generalized transverse momentum dependent distributions (GTMDs) with no proof of factorization, which allows to rigorously define the

Exclusive Double Drell-Yan factorization and GTMDs




The light-front (LF) quantization of QCD in light-cone (l.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and theory quantized canonically. The Dyson-Wick

Solving two-dimensional phi4 theory by discretized light-front quantization.

It is found that finite-mass renormalization prevents the phase transition by restricting the theory to the weak-coupling region and estimate of the critical coupling for which the mass gap vanishes is obtained.

Parton physics from large-momentum effective field theory

Parton physics, when formulated as light-front correlations, are difficult to study non-perturbatively, despite the promise of light-front quantization. Recently an alternative approach to partons

Light-front quantization of the sine-Gordon model.

  • Burkardt
  • Physics
    Physical review. D, Particles and fields
  • 1993
It is shown how to modify the canonical light-front quantization of the (1+1)-dimensional sine-Gordon model such that the zero-mode problem of light-front quantization is avoided. The canonical

Dynamical Nucleon-Pion System via Basis Light-Front Quantization

We present the first application of the Basis Light-Front Quantization method to study a simple chiral model of the nucleon-pion system via an ab initio, non-perturbative, Hamiltonian approach. As a

Basis light-front quantization approach to nucleon

  • C. MondalSiqi Xu J. Vary
  • Physics
    Proceedings of Light Cone 2019 - QCD on the light cone: from hadrons to heavy ions — PoS(LC2019)
  • 2020
We obtain the light-front wavefunctions for the nucleon in the valence quark Fock space from an effective Hamiltonian, which includes the transverse and longitudinal confinement and the one-gluon

Fundamental properties of the proton in light-front zero modes

Zero-Mode Problem on the Light Front

A series of lectures are given to discuss the zero-mode problem on the light-front (LF) quantization with special emphasis on the peculiar realization of the trivial vacuum, the spontaneous symmetry

On Transverse-Momentum Dependent Light-Cone Wave Functions of Light Mesons