Scalar quantum field in an external gauge field
- 1 August 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (8) , 1791-1796
- https://doi.org/10.1063/1.524280
Abstract
Let G be a compact complex Lie group with Lie algebra G′ and let Aμ∈C∞0(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.Keywords
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