The one-loop effective action and trace anomaly in four dimensions

Details The one-loop effective action and trace anomaly in four dimensions The one-loop effective action and trace anomaly in four dimensions

1994-04-29

arxiv.org/abs/hep-th/9404187v2

Nucl.Phys. B439 (1995) 561-582

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, REVTeX, Alberta Thy 15-94

Scientific paper

10.1016/0550-3213(94)00585-3

The one-loop effective action for a generic set of quantum fields is calculared as a nonlocal expansion in powers of the curvatures (field strengths). This expansion is obtained to third order in the curvature. It is stressed that the covariant vertices are finite. The trace anomaly in four dimensions is obtained directly by varying the effective action. The nonlocal terms in the action, producing the anomaly, contain non-trivial functions of three operator arguments. The trace anomaly is derived also by making the conformal transformation in the heat kernel.

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