The first-order formalism for Yang–Mills theory
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It is possible to replace the second-order Yang–Mills Lagrangian [Formula: see text] with the first-order Lagrangian [Formula: see text]. In this form, the interaction term in the Lagrangian, [Formula: see text] is very simple; the only disadvantage is that now not only the vector [Formula: see text] but also the auxiliary field [Formula: see text] propagate. The gauge-fixing and ghost contributions to the effective Lagrangian can similarly be reduced to first-order form by the introduction of auxiliary fields. We demonstrate the procedure by computing the two-point function to one-loop order using background field quantization.
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2001 ◽
Vol 16
(07)
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pp. 1303-1346
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1998 ◽
Vol 13
(11)
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pp. 1773-1783
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1999 ◽
Vol 14
(28)
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pp. 4457-4471
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