= Dimension-six operators of a real scalar field
{title2=$\phi^6,\ \phi^3\Box\phi,\ (\Box\phi)^2$}
In four dimensions, a <real scalar field> and a <partial derivative> each have <mass dimension> one. Seven scalar monomials of dimension six can be listed before <integration by parts>: $\phi^6$, $\phi^2(\partial\phi)^2$, $\phi^3\Box\phi$, $\phi\Box^2\phi$, $\partial_\mu\phi\partial^\mu\Box\phi$, $(\Box\phi)^2$, and $(\partial_\mu\partial_\nu\phi)^2$. They reduce to the three displayed representatives modulo <total derivatives>. Leading <equations of motion> reduce them further to a single new $\phi^6$ interaction, together with shifts of the existing <mass> and quartic <coupling constant (physics)>.
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