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Title: Particle distribution in intense fields in a light-front Hamiltonian approach

Authors:
; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1360881
Grant/Contract Number:
FG02-87ER40371; DESC0008485; AC02-05CH11231
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 9; Related Information: CHORUS Timestamp: 2017-05-30 22:14:25; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Chen, Guangyao, Zhao, Xingbo, Li, Yang, Tuchin, Kirill, and Vary, James P. Particle distribution in intense fields in a light-front Hamiltonian approach. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.096012.
Chen, Guangyao, Zhao, Xingbo, Li, Yang, Tuchin, Kirill, & Vary, James P. Particle distribution in intense fields in a light-front Hamiltonian approach. United States. doi:10.1103/PhysRevD.95.096012.
Chen, Guangyao, Zhao, Xingbo, Li, Yang, Tuchin, Kirill, and Vary, James P. 2017. "Particle distribution in intense fields in a light-front Hamiltonian approach". United States. doi:10.1103/PhysRevD.95.096012.
@article{osti_1360881,
title = {Particle distribution in intense fields in a light-front Hamiltonian approach},
author = {Chen, Guangyao and Zhao, Xingbo and Li, Yang and Tuchin, Kirill and Vary, James P.},
abstractNote = {},
doi = {10.1103/PhysRevD.95.096012},
journal = {Physical Review D},
number = 9,
volume = 95,
place = {United States},
year = 2017,
month = 5
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on May 30, 2018
Publisher's Accepted Manuscript

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  • A perturbative renormalization group (RG) scheme for the light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest {phi}{sup 4} model with spontaneous breaking of {ital Z}{sub 2} symmetry. RG equations are derived at one-loop order for both symmetric and broken phases. The equations are consistent with those calculated in the covariant perturbation theory. For the symmetric phase, an initial cutoff Hamiltonian in the RG procedure is made by excluding the zero mode from the canonical Hamiltonian with an appropriate regularization. An initial cutoff Hamiltonian for the broken phase is constructed by shiftingmore » {phi} by {phi}{r_arrow}{phi}{minus}{ital v} in the initial Hamiltonian for the symmetric phase. The shifted value {ital v} is determined on a renormalization trajectory. The minimum of the effective potential occurs on the trajectory. {copyright} {ital 1996 The American Physical Society.}« less
  • Light-front Hamiltonian methods are being developed to attack bound-state problems in QCD. In this paper we advance the state of the art for these methods by computing the well-known Lamb shift in hydrogen starting from first principles of QED. There are obvious but significant qualitative differences between QED and QCD. In this paper, we discuss the similarities that may survive in a nonperturbative QCD calculation in the context of a precision nonperturbative QED calculation. Central to the discussion are how a constituent picture arises in a gauge field theory, how bound-state energy scales emerge to guide the renormalization procedure, andmore » how rotational invariance emerges in a light-front calculation. {copyright} {ital 1997} {ital The American Physical Society}« less
  • 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 function representation, we obtain a large, sparse, Hamiltonian matrix for mass eigenstates of gauge theories that is solvable by adapting the ab initio no-core methods of nuclear many-body theory. Full covariance is recovered in the continuum limit, the infinite matrix limit. There is considerable freedom in the choice of the orthonormal and complete set of basis functions with convenience and convergence rates providing key considerations. Here, we use amore » two-dimensional harmonic oscillator basis for transverse modes that corresponds with eigensolutions of the soft-wall AdS/QCD model obtained from light-front holography. We outline our approach, present illustrative features of some non-interacting systems in a cavity and discuss the computational challenges.« less
  • We utilize the Hamiltonian approach to the light-front formulation of quantum field theory to study two- and three-body relativistic bound-state problems in a truncated Fock-space basis in 1+1 dimensions. The problem is numerically solved by diagonalizing the invariant-mass operator in the truncated basis. We present results for binding energies, valence wave functions, and the momentum distribution functions. We discuss the advantages of the present technique over the usual integral-equation approach.
  • Hamiltonian light-front quantum field theory constitutes a framework for the nonperturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis function representation, a large, sparse, Hamiltonian matrix for mass eigenstates of gauge theories is obtained that is solvable by adapting the ab initio no-core methods of nuclear many-body theory. Full covariance is recovered in the continuum limit, the infinite matrix limit. There is considerable freedom in the choice of the orthonormal and complete set of basis functions with convenience and convergence rates providing key considerations. Here we use amore » two-dimensional harmonic oscillator basis for transverse modes that corresponds with eigensolutions of the soft-wall anti-de Sitter/quantum chromodynamics (AdS/QCD) model obtained from light-front holography. We outline our approach and present illustrative features of some noninteracting systems in a cavity. We illustrate the first steps toward solving quantum electrodynamics (QED) by obtaining the mass eigenstates of an electron in a cavity in small basis spaces and discuss the computational challenges.« less