Abstract
Complex saddle points in the double well anharmonic oscillator are derived. The boundary conditions τ( T)=− ϕ(− T)=1 at finite time T required for the computation of tunneling amplitudes lead to a countable set of saddle points. In the limit T → ∞, these saddle points behave as a superposition of instantons and anti-instantons and their action tends to the action associated with the quasi-solutions used in the standard procedure. Saddle points with periodic boundary conditions are also investigated.
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