Dirac Particle in External Non-Abelian Gauge Field
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The Green function of a Dirac particle in interaction with a non-Abelian SU(N) gauge field exactly and analytically determined via the path integral formalism by using the approach so-called “global projection.” The essential steps in the calculation are the choice of a convenient gauge (Lorentz gauge) and the introduction of two constraints, φ=kx (related to space) and Grassmannian η=kψ (related to Dirac matrices). Furthermore, it is shown that certain selected equations obtained during the integrations can also be classically derived.
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1994 ◽
Vol 27
(18)
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pp. L697-L702
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2005 ◽
Vol 94
(3-4)
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pp. 335-346
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2009 ◽
Vol 505
(2)
◽
pp. 735-742
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2012 ◽
Vol 29
(6)
◽
pp. 061201
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