Nonperturbative confinement in quantum chromodynamics: I. Study of an approximate equation of Mandelstam

D. Atkinson; J. K. Drohm; P. W. Johnson; K. Stam

doi:10.1063/1.524851

Nonperturbative confinement in quantum chromodynamics: I. Study of an approximate equation of Mandelstam

D. Atkinson, J. K. Drohm, P. W. Johnson, K. Stam

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An approximated form of the Dyson–Schwinger equation for the gluon propagator in quarkless QCD is subjected to nonlinear functional and numerical analysis. It is found that solutions exist, and that these have a double pole at the origin of the square of the propagator momentum, together with an accumulation of soft branch points. This analytic structure is strongly suggestive of confinement by infrared slavery.

Originele taal-2	English
Pagina's (van-tot)	2704-2712
Aantal pagina's	9
Tijdschrift	Journal of Mathematical Physics
Volume	22
Nummer van het tijdschrift	11
DOI's	https://doi.org/10.1063/1.524851
Status	Published - 1981

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title = "Nonperturbative confinement in quantum chromodynamics: I. Study of an approximate equation of Mandelstam",

abstract = "An approximated form of the Dyson–Schwinger equation for the gluon propagator in quarkless QCD is subjected to nonlinear functional and numerical analysis. It is found that solutions exist, and that these have a double pole at the origin of the square of the propagator momentum, together with an accumulation of soft branch points. This analytic structure is strongly suggestive of confinement by infrared slavery.",

author = "D. Atkinson and Drohm, {J. K.} and Johnson, {P. W.} and K. Stam",

year = "1981",

doi = "10.1063/1.524851",

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journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "AMER INST PHYSICS",

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T1 - Nonperturbative confinement in quantum chromodynamics

T2 - I. Study of an approximate equation of Mandelstam

AU - Atkinson, D.

AU - Drohm, J. K.

AU - Johnson, P. W.

AU - Stam, K.

PY - 1981

Y1 - 1981

N2 - An approximated form of the Dyson–Schwinger equation for the gluon propagator in quarkless QCD is subjected to nonlinear functional and numerical analysis. It is found that solutions exist, and that these have a double pole at the origin of the square of the propagator momentum, together with an accumulation of soft branch points. This analytic structure is strongly suggestive of confinement by infrared slavery.

AB - An approximated form of the Dyson–Schwinger equation for the gluon propagator in quarkless QCD is subjected to nonlinear functional and numerical analysis. It is found that solutions exist, and that these have a double pole at the origin of the square of the propagator momentum, together with an accumulation of soft branch points. This analytic structure is strongly suggestive of confinement by infrared slavery.

U2 - 10.1063/1.524851

DO - 10.1063/1.524851

M3 - Article

VL - 22

SP - 2704

EP - 2712

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -