The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions

Stanley J. Brodsky; John R. Hiller; Gary McCartor

doi:10.1016/S0003-4916(03)00063-0

The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions

Stanley J. Brodsky, John R. Hiller, Gary McCartor

Physics & Astronomy (Duluth)

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny.

Original language	English (US)
Pages (from-to)	266-285
Number of pages	20
Journal	Annals of Physics
Volume	305
Issue number	2
DOIs	https://doi.org/10.1016/S0003-4916(03)00063-0
State	Published - Jun 2003

Bibliographical note

Funding Information:
This work was supported by the Department of Energy through Contracts DE-AC03-76SF00515 (S.J.B.), DE-FG02-98ER41087 (J.R.H.), and DE-FG03-95ER40908 (G.M.). We also thank the Los Alamos National Laboratory for its hospitality while this work was being completed.

Keywords

Light-cone quantization
Mass renormalization
Pauli-Villars regularization
Yukawa theory

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title = "The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions",

abstract = "We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny.",

keywords = "Light-cone quantization, Mass renormalization, Pauli-Villars regularization, Yukawa theory",

author = "Brodsky, {Stanley J.} and Hiller, {John R.} and Gary McCartor",

note = "Funding Information: This work was supported by the Department of Energy through Contracts DE-AC03-76SF00515 (S.J.B.), DE-FG02-98ER41087 (J.R.H.), and DE-FG03-95ER40908 (G.M.). We also thank the Los Alamos National Laboratory for its hospitality while this work was being completed.",

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TY - JOUR

T1 - The mass renormalization of nonperturbative light-front Hamiltonian theory

T2 - An illustration using truncated, Pauli-Villars-regulated Yukawa interactions

AU - Brodsky, Stanley J.

AU - Hiller, John R.

AU - McCartor, Gary

N1 - Funding Information: This work was supported by the Department of Energy through Contracts DE-AC03-76SF00515 (S.J.B.), DE-FG02-98ER41087 (J.R.H.), and DE-FG03-95ER40908 (G.M.). We also thank the Los Alamos National Laboratory for its hospitality while this work was being completed.

PY - 2003/6

Y1 - 2003/6

N2 - We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny.

AB - We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny.

KW - Light-cone quantization

KW - Mass renormalization

KW - Pauli-Villars regularization

KW - Yukawa theory

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VL - 305

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EP - 285

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

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