Scalar quantum field in an external gauge field

J. Dimock

doi:10.1063/1.524280

Scalar quantum field in an external gauge field

J. Dimock

Mathematics

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

3 Scopus citations

Abstract

Let G be a compact complex Lie group with Lie algebra G′ and let A_μ∈C₀^∝(R⁴,G′) be a gauge potential. We construct a gauge covariant local quantum field operator φ which solves the equation [(∂_μ + iA_μ) (∂^μ + iA^μ) + m²]φ = 0 and is a free field in the distant past or future. The associated scattering theory is described by a unitary gauge-invariant S operator.

Original language	English
Pages (from-to)	1791-1796
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	20
Issue number	8
DOIs	https://doi.org/10.1063/1.524280
State	Published - 1978

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title = "Scalar quantum field in an external gauge field",

abstract = "Let G be a compact complex Lie group with Lie algebra G′ and let Aμ∈C0∝(R4,G′) be a gauge potential. We construct a gauge covariant local quantum field operator φ which solves the equation [(∂μ + iAμ) (∂μ + iAμ) + m2]φ = 0 and is a free field in the distant past or future. The associated scattering theory is described by a unitary gauge-invariant S operator.",

author = "J. Dimock",

year = "1978",

doi = "10.1063/1.524280",

language = "English",

volume = "20",

pages = "1791--1796",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "8",

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TY - JOUR

T1 - Scalar quantum field in an external gauge field

AU - Dimock, J.

PY - 1978

Y1 - 1978

N2 - Let G be a compact complex Lie group with Lie algebra G′ and let Aμ∈C0∝(R4,G′) be a gauge potential. We construct a gauge covariant local quantum field operator φ which solves the equation [(∂μ + iAμ) (∂μ + iAμ) + m2]φ = 0 and is a free field in the distant past or future. The associated scattering theory is described by a unitary gauge-invariant S operator.

AB - Let G be a compact complex Lie group with Lie algebra G′ and let Aμ∈C0∝(R4,G′) be a gauge potential. We construct a gauge covariant local quantum field operator φ which solves the equation [(∂μ + iAμ) (∂μ + iAμ) + m2]φ = 0 and is a free field in the distant past or future. The associated scattering theory is described by a unitary gauge-invariant S operator.

UR - https://www.scopus.com/pages/publications/36749105986

U2 - 10.1063/1.524280

DO - 10.1063/1.524280

M3 - Article

AN - SCOPUS:36749105986

SN - 0022-2488

VL - 20

SP - 1791

EP - 1796

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 8

ER -

Scalar quantum field in an external gauge field

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