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We introduce a nonperturbative, first principles numerical approach for solving time-dependent problems in quantum field theory, using light-front quantization. As a first application we consider QED in a strong background field, and the…

Nuclear Theory · Physics 2013-09-19 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis…

We propose a new method for the nonperturbative solution of quantum field theories and illustrate its use in the context of a light-front analog to the Greenberg--Schweber model. The method is based on light-front quantization and uses the…

High Energy Physics - Phenomenology · Physics 2015-05-27 S. S. Chabysheva , J. R. Hiller

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 exchange interaction with fixed coupling.…

High Energy Physics - Phenomenology · Physics 2021-12-14 Chandan Mondal , Siqi Xu , Jiangshan Lan , Xingbo Zhao , Yang Li , Dipankar Chakrabarti , James P. Vary

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 test problem, we consider the physical…

Nuclear Theory · Physics 2019-08-09 Weijie Du , Yang Li , Xingbo Zhao , James P. Vary

We present a systematic comparison of charmonium light-front wave functions obtained through two complementary non-perturbative approaches: Basis Light-Front Quantization (BLFQ) and Dyson-Schwinger equations (DSE). Key observables include…

High Energy Physics - Phenomenology · Physics 2026-01-27 Xianghui Cao , Yang Li , Chao Shi , James P. Vary , Qun Wang

The light-front dynamics (LFD) of the scalar field model theory is analyzed to solve the two-body bound-state problem. The light-front two-body bound-state equation is extended to the full LFD kernel including the ladder, cross-ladder,…

Nuclear Theory · Physics 2015-06-05 Chueng-Ryong Ji , Yukihisa Tokunaga

Basis Light-front Quantization has been proposed as a nonperturbative framework for solving quantum field theory. We apply this approach to Quantum Electrodynamics and explicitly solve for the light-front wave function of a physical…

Nuclear Theory · Physics 2014-08-26 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

We investigate the quantum dynamics of systems involving small numbers of strongly interacting photons. Specifically, we develop an efficient method to investigate such systems when they are externally driven with a coherent field.…

Quantum Physics · Physics 2013-06-20 Mohammad Hafezi , Mikhail D. Lukin , Jacob M. Taylor

We investigate the singly virtual transition form factor (TFF) for the $\pi^0\to\gamma^*\gamma$ process in the space-like region using the hard-scattering formalism within the Basis Light-Front Quantization (BLFQ) framework. This form…

High Energy Physics - Phenomenology · Physics 2024-08-14 Xiaoyi Wu , Zhimin Zhu , Ziyang Lin , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , James P. Vary

The framework of 'time-dependent basis light-front quantisation' (tBLFQ) offers a non-perturbative approach to scattering problems in external fields, based on Fock space truncation. Here we extend tBLFQ to include spatio-temporal field…

Nuclear Theory · Physics 2020-07-29 Bolun Hu , Anton Ilderton , Xingbo Zhao

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing light-front gauge and adopting a basis function…

Nuclear Theory · Physics 2009-09-29 J. P. Vary , H. Honkanen , Jun Li , P. Maris , S. J. Brodsky , P. Sternberg , E. G. Ng , C. Yang

Quantum Field Theory (QFT) is used to describe the physics of particles in terms of their fundamental constituents. The Light-Front Field Theory~(LFFT), introduced by Paul Dirac in 1949, is an alternative approach to solve some of the…

High Energy Physics - Phenomenology · Physics 2023-11-17 Jurandi Leãoo , J. P. B. C. de Melo

In this work we compare mass spectra and decay constants obtained from two recent, independent, and fully relativistic approaches to the quarkonium bound-state problem: the Hamiltonian basis light-front quantization (BLFQ) approach, where…

High Energy Physics - Phenomenology · Physics 2017-11-22 Sofia Leitão , Yang Li , Pieter Maris , M. T. Peña , Alfred Stadler , James P. Vary , Elmar P. Biernat

We extend earlier work on fully symmetric polynomials for three-boson wave functions to arbitrarily many bosons and apply these to a light-front analysis of the low-mass eigenstates of $\phi^4$ theory in 1+1 dimensions. The basis-function…

High Energy Physics - Phenomenology · Physics 2016-05-25 S. S. Chabysheva

Heisenberg's matrix formulation of quantum mechanics can be generalized to relativistic systems by evolving in light-front time tau = t+z/c. The spectrum and wavefunctions of bound states, such as hadrons in quantum chromodynamics, can be…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

An introductory overview on Light-Front quantization, with some emphasis on recent achievements, is given. Light-Front quantization is the most promising and physical tool to study deep inelastic scattering on the basis of quark gluon…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Burkardt

Light-cone quantization of gauge theories is discussed from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theory…

High Energy Physics - Phenomenology · Physics 2010-12-13 Hans-Christian Pauli

This paper introduces "time-dependent basis light-front quantization", which is a covariant, nonperturbative, and first principles numerical approach to time-dependent problems in quantum field theory. We demonstrate this approach by…

Nuclear Theory · Physics 2013-11-15 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

In the Light-Front Dynamics, the wave function equations and their numerical solutions, for two fermion bound systems, are presented. Analytical expressions for the ladder one-boson exchange interaction kernels corresponding to scalar,…

High Energy Physics - Theory · Physics 2011-07-19 M. Mangin-Brinet , J. Carbonell , V. A. Karmanov