On the infrared singularity of the resolvent of some Yang-Mills-type operators

Arne Jensen; Wolfgang Krüger

doi:10.1063/1.526515

On the infrared singularity of the resolvent of some Yang-Mills-type operators

Arne Jensen^*, Wolfgang Krüger

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

For operators of Yang-Mills type H = Σ_{j = 1}⁴ [ -i(∂/∂cursive Greek chi_j) ⊗ 1 + A _j(cursive Greek chi)]² + W (cursive Greek chi) in L ²(R⁴) ⊗ Mathematical script capital V the infrared singularity of the resolvent (H - ζ)^-1 is described completely in terms of asymptotic expansions as ξ→0.A_j(cursive Greek chi) and W(cursive Greek chi) are required to satisfy A_j(cursive Greek chi) = O (\cursive Greek chi\^-2-δ), W(cursive Greek chi) = O(\cursive Greek chi\^-2-δ), as\cursive Greek chi\→∞, δ > 0.

Original language	English
Journal	Journal of Mathematical Physics
Volume	26
Issue number	6
Pages (from-to)	1152-1157
Number of pages	6
ISSN	0022-2488
DOIs	https://doi.org/10.1063/1.526515
Publication status	Published - 1985

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title = "On the infrared singularity of the resolvent of some Yang-Mills-type operators",

abstract = "For operators of Yang-Mills type H = Σj = 14 [ -i(∂/∂cursive Greek chij) ⊗ 1 + A j(cursive Greek chi)]2 + W (cursive Greek chi) in L 2(R4) ⊗ Mathematical script capital V the infrared singularity of the resolvent (H - ζ)-1 is described completely in terms of asymptotic expansions as ξ→0.Aj(cursive Greek chi) and W(cursive Greek chi) are required to satisfy Aj(cursive Greek chi) = O (\cursive Greek chi\-2-δ), W(cursive Greek chi) = O(\cursive Greek chi\-2-δ), as\cursive Greek chi\→∞, δ > 0.",

author = "Arne Jensen and Wolfgang Kr{\"u}ger",

year = "1985",

doi = "10.1063/1.526515",

language = "English",

volume = "26",

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journal = "Journal of Mathematical Physics",

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AU - Krüger, Wolfgang

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N2 - For operators of Yang-Mills type H = Σj = 14 [ -i(∂/∂cursive Greek chij) ⊗ 1 + A j(cursive Greek chi)]2 + W (cursive Greek chi) in L 2(R4) ⊗ Mathematical script capital V the infrared singularity of the resolvent (H - ζ)-1 is described completely in terms of asymptotic expansions as ξ→0.Aj(cursive Greek chi) and W(cursive Greek chi) are required to satisfy Aj(cursive Greek chi) = O (\cursive Greek chi\-2-δ), W(cursive Greek chi) = O(\cursive Greek chi\-2-δ), as\cursive Greek chi\→∞, δ > 0.

AB - For operators of Yang-Mills type H = Σj = 14 [ -i(∂/∂cursive Greek chij) ⊗ 1 + A j(cursive Greek chi)]2 + W (cursive Greek chi) in L 2(R4) ⊗ Mathematical script capital V the infrared singularity of the resolvent (H - ζ)-1 is described completely in terms of asymptotic expansions as ξ→0.Aj(cursive Greek chi) and W(cursive Greek chi) are required to satisfy Aj(cursive Greek chi) = O (\cursive Greek chi\-2-δ), W(cursive Greek chi) = O(\cursive Greek chi\-2-δ), as\cursive Greek chi\→∞, δ > 0.

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EP - 1157

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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ER -

On the infrared singularity of the resolvent of some Yang-Mills-type operators

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