Effect of instantons on the heavy-quark potential

Curtis Gove Callan; Roger Dashen; David J. Gross; Frank Wilczek; A. Zee

doi:10.1103/PhysRevD.18.4684

Effect of instantons on the heavy-quark potential

Curtis Gove Callan
, Roger Dashen
, David J. Gross
, Frank Wilczek
, A. Zee

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

73 Scopus citations

Abstract

A systematic large-mass expansion of the quark-antiquark effective Hamiltonian due to instantons is developed. The O(m-2) spin-spin and spin-orbit contributions are evaluated in the dilute-gas approximation. These can be expressed in terms of differential operators acting on the spin-independent potential. The three-quark effective Hamiltonian (in a color-singlet state) is shown to be a sum of quark-antiquark Hamiltonians. The structure and numerical value of the effective Hamiltonian is discussed.

Original language	English (US)
Pages (from-to)	4684-4692
Number of pages	9
Journal	Physical Review D
Volume	18
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.18.4684
State	Published - 1978

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

Access to Document

10.1103/PhysRevD.18.4684

Cite this

@article{ae5edf98efea4d5cbf155b3771e72e52,

title = "Effect of instantons on the heavy-quark potential",

abstract = "A systematic large-mass expansion of the quark-antiquark effective Hamiltonian due to instantons is developed. The O(m-2) spin-spin and spin-orbit contributions are evaluated in the dilute-gas approximation. These can be expressed in terms of differential operators acting on the spin-independent potential. The three-quark effective Hamiltonian (in a color-singlet state) is shown to be a sum of quark-antiquark Hamiltonians. The structure and numerical value of the effective Hamiltonian is discussed.",

author = "Callan, \{Curtis Gove\} and Roger Dashen and Gross, \{David J.\} and Frank Wilczek and A. Zee",

year = "1978",

doi = "10.1103/PhysRevD.18.4684",

language = "English (US)",

volume = "18",

pages = "4684--4692",

journal = "Physical Review D",

issn = "0556-2821",

publisher = "American Institute of Physics",

number = "12",

}

TY - JOUR

T1 - Effect of instantons on the heavy-quark potential

AU - Callan, Curtis Gove

AU - Dashen, Roger

AU - Gross, David J.

AU - Wilczek, Frank

AU - Zee, A.

PY - 1978

Y1 - 1978

N2 - A systematic large-mass expansion of the quark-antiquark effective Hamiltonian due to instantons is developed. The O(m-2) spin-spin and spin-orbit contributions are evaluated in the dilute-gas approximation. These can be expressed in terms of differential operators acting on the spin-independent potential. The three-quark effective Hamiltonian (in a color-singlet state) is shown to be a sum of quark-antiquark Hamiltonians. The structure and numerical value of the effective Hamiltonian is discussed.

AB - A systematic large-mass expansion of the quark-antiquark effective Hamiltonian due to instantons is developed. The O(m-2) spin-spin and spin-orbit contributions are evaluated in the dilute-gas approximation. These can be expressed in terms of differential operators acting on the spin-independent potential. The three-quark effective Hamiltonian (in a color-singlet state) is shown to be a sum of quark-antiquark Hamiltonians. The structure and numerical value of the effective Hamiltonian is discussed.

UR - https://www.scopus.com/pages/publications/4243492722

UR - https://www.scopus.com/pages/publications/4243492722#tab=citedBy

U2 - 10.1103/PhysRevD.18.4684

DO - 10.1103/PhysRevD.18.4684

M3 - Article

AN - SCOPUS:4243492722

SN - 0556-2821

VL - 18

SP - 4684

EP - 4692

JO - Physical Review D

JF - Physical Review D

IS - 12

ER -

Effect of instantons on the heavy-quark potential

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this