Trends and Progress in Nuclear and Hadron Physics: A Straight or Winding Road

Vary, James P.; Adhikari, Lekha; Chen, Guangyao; Li, Meijian; Li, Yang; Maris, Pieter; Qian, Wenyang; Spence, J. R.; Tang, Shuo; Tuchin, Kirill; Zhao, Xingbo

doi:10.1007/s00601-016-1210-1

Cited by 12 publications

(7 citation statements)

References 53 publications

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“…Within BLFQ, a field is expanded in terms of second-quantized Fock states representing occupancies of modes (first-quantized basis functions), and there is no a priori limit on the degrees of freedom [34,46]. Accordingly, our algorithms are designed to efficiently simulate QFT applications where particle number is not conserved.…”

Section: A Overviewmentioning

confidence: 99%

Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization

Kreshchuk,

Jia,

Kirby

et al. 2020

Preprint

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The analogy between quantum chemistry and light-front quantum field theory, first noted by Kenneth G. Wilson, serves as motivation to develop light-front quantum simulation of quantum field theory. We demonstrate how calculations of hadron structure can be performed on Noisy Intermediate-Scale Quantum devices within the Basis Light-Front Quantization framework. We calculate the light-front wave functions of pions using an effective light-front Hamiltonian in a basis representation on a current quantum processor. We use the Variational Quantum Eigensolver to find the ground state energy and wave function, which is subsequently used to calculate pion mass radius, decay constant, elastic form factor, and charge radius.

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Section: A Overviewmentioning

confidence: 99%

Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization

Kreshchuk,

Jia,

Kirby

et al. 2020

Preprint

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“…BLFQ is a non-perturbative, ab initio method, which treats relativistic quantum field theory via the Hamiltonian approach within the light-front (LF) formalism. BLFQ has been shown to be a promising tool in a range of applications [5], such as the electron anomalous magnetic moment [6,7], the positronium spectrum [8], and the heavy quarkonium structure and radiative transitions [9][10][11][12][13]. More recently, BLFQ has been applied successfully to the properties of the light mesons [14], which are then extended to experimentrelevant scales by perturbative QCD evolution [15].…”

Section: Introductionmentioning

confidence: 99%

Basis light-front quantization for a chiral nucleon-pion Lagrangian

Zhao

et al. 2020

Phys. Rev. C

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We present the first application of the Basis Light-Front Quantization method to a simple chiral model of the nucleon-pion system as a relativistic bound state for the physical proton. The light-front mass-squared matrix of the nucleon-pion system is obtained within a truncated basis. The mass and the corresponding light-front wave function (LFWF) of the proton are computed by numerical diagonalization of the resulting mass-squared matrix. With the boost invariant LFWF, we calculate the probability density distribution of the pion's longitudinal momentum fraction and the Dirac form factor of the proton. * BLFQ employs the LF formalism [18,19], where physical systems are quantized at fixed LF time x + = t+z [8,20]. The structure and dynamics of the systems are characterized by the Hamiltonian formalism. The LF vacuum has a simple structure since the Fock vacuum is an exact eigenstate of the full normal-ordered Hamiltonian [21,22]. This provides access to the Fock-space expansion of the physical states in the LF field theory and thereby generates physical intuition for their underlying structures [21,22].BLFQ also takes the advantage of the developments in ab initio non-relativistic quantum many-body theories, such as the No-Core Shell Model (NCSM) [23][24][25], and the rapidly developing supercomputing techniques (algorithms and hardwares) (see, e.g., [26] and references therein). In BLFQ, the LF mass-squared operator of a hadron system in the basis representation becomes a sparse matrix whose dimensions are controlled by truncations that respect the relativistic symmetries. By matrix diagonalization, the eigenvalues produce the mass sprectum, while the resulting eigenfunctions are the light-front wave functions (LFWFs) that encode the hadronic properties. The LFWFs can be boosted to a general Lorentz frame for calculating, e.g., form factors and scattering processes [21].The LF quantization approach to treat a chiral model of the nucleon-pion (N π) system was first proposed by Miller [27,28] in investigating the N π scattering and the nucleon-nucleon scattering via perturbation theory. In this work, we will present the first non-perturbative treatment of the same chiral model via the BLFQ method. In particular, we consider a physical proton as the relativistic bound state of the N π system. Via the BLFQ approach, we obtain the LF mass-squared matrix of the N π system within a truncated basis. We compute the proton's mass and the corresponding LFWF by numerical diagonalization of the mass-squared matrix. Based on the LFWF, we evaluate the probability density distribution of the pion's longitudinal momentum fraction and the Dirac form factor of the proton.The outline of this paper is the following. We begin by introducing our adopted Lagrangian density in Sec. 2. Then, in Sec. 3, we introduce the elements of BLFQ, such as the derivation of the LF Hamiltonian density, our choice of the basis construction and truncation schemes, the derivation of the mass-squared matrix element in the basis representation, and the fo...

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“…In this article we overview recent developments, expanding our report of last year [6], and survey prospects for the near future. For additional perspectives of recent research and future prospects in lightfront Hamiltonian theory, see Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, our Hamiltonian framework allows the study of time-dependent phenomena using the time-dependent Basis Light Front Quantization (tBLFQ) approach. We gradually improve the tBLFQ results by replacing modeled background fields with those obtained directly from QCD.In this article we overview recent developments, expanding our report of last year [6], and survey prospects for the near future. For additional perspectives of recent research and future prospects in lightfront Hamiltonian theory, see Refs.…”

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confidence: 99%

Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization

et al. 2018

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We survey recent progress in calculating properties of the electron and hadrons within the Basis Light Front Quantization (BLFQ) approach. We include applications to electromagnetic and strong scattering processes in relativistic heavy ion collisions. We present an initial investigation into the glueball states by applying BLFQ with multigluon sectors, introducing future research possibilities on multi-quark and multi-gluon systems.Static and dynamic properties of the hadrons, including finite nuclei, are the foci of major theoretical and experimental efforts in the nuclear physics community. Interesting topics include the nonperturbative roles of the constituent quarks and gluons in the manifested phenomena such as the distribution of angular momenta, pileup of gluon distributions at low longitudinal momentum fractions, electromagnetic moments/transitions, emergence of exotic structures beyond the simple constituent models and diffractive production cross sections. Our BLFQ framework addresses these phenomena with a relativistic treatment of the Hamiltonian developed with input from the QCD Lagrangian supplemented by confining terms. We solve for the mass eigenstates and their light-front amplitudes in the Basis Light Front Quantization (BLFQ) approach [1; 2; 3]. The light front amplitudes bridge our theory with observables such as form factors, decay constants and those in time-dependent scattering processes [4; 5]. Specifically, our Hamiltonian framework allows the study of time-dependent phenomena using the time-dependent Basis Light Front Quantization (tBLFQ) approach. We gradually improve the tBLFQ results by replacing modeled background fields with those obtained directly from QCD.In this article we overview recent developments, expanding our report of last year [6], and survey prospects for the near future. For additional perspectives of recent research and future prospects in lightfront Hamiltonian theory, see Refs. [7; 8] and references therein. Basis Light-Front QuantizationThe non-perturbative solution of quantum field theory within the Hamiltonian framework has a rich history. Pioneering efforts addressed the mass eigenstate problem of the light-front Hamiltonian in the discretized plane-wave basis [9] called Discretized Light-Cone Quantization (DLCQ), whose application continues to the present [8]. In order to better address the conserved total angular momentum projection, to improve numerical convergence when confining interactions are present and to facilitate multi-fermion and multiboson applications, we introduced BLFQ by adapting successful methods from ab initio nuclear structure theory [1].We aim to solve the light-front mass eigenvalue problem expressed as,where the operatorsP + andP − are the longitudinal momentum (+) and the light-front quantized Hamiltonian (−), whileP ⊥ represents the transverse momentum. The invariant-mass (M ) spectrum and lightfront state vectors |ψ h result from diagonalizing Eq. 1 in a suitable matrix representation of the effective Hamiltonian. Expressing the state...

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Trends and Progress in Nuclear and Hadron Physics: A Straight or Winding Road

Cited by 12 publications

References 53 publications

Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization

Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization

Basis light-front quantization for a chiral nucleon-pion Lagrangian

Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization

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