The gauge dependence of the effective action r and potential V are studied in general gauge theories. Explicit expressions which manifest all the gauge dependences of r and V are obtained. From these equations, it is concluded that r (or V ) has gauge-invariant values for any solution of the Euler-Lagrange equation 6r/64J = 0 (or aV/a4J = 0). Introduction of a certain concept about the categories of gauge conditions resolves the appearance of a gauge-dependent unphysical "vacuum." Any gauge can be used to calculate I ' . A wide class of gauges are allowed for the effective potential V; for instance, in scalar QED the allowed gauges are --(1/2~)(aA)~, -(1/2a)(aA -v@J2 (where the direction of condensation is restricted to @,), the Coulomb gauge, and the axial gauge. In particular the Re gauge is also an allowed gauge.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.