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Strong-coupling expansion is performed for the lattice phi^4 model in 1+1dimensions. Because the strong-coupling limit itself is not solvable, weemployed numerical calculations so as to set up unperturbed eigensystems.Restricting the number of Hilbert-space bases, we performed linked-clusterexpansion up to eleventh order. We carried out alternative simulation by meansof the density-matrix renormalization group. Thereby, we confirmed that ourseries-expansion data with a convergence-acceleration trick are in goodagreement with the simulation result. Through the analytic continuation to thedomain of negative biquadratic interaction, we obtain the false-vacuum decayrate. Contrary to common belief that tunnelling phenomenon lies out ofperturbative treatments, our series expansion reproduces the instanton-theorybehaviour for high potential barrier. For shallow barrier, on the contrary, ourresult tells that the relaxation is no more described by instanton, but thedecay rate acquires notable enhancement

Strong-coupling-expansion analysis of the false-vacuum decay rate of the lattice ϕ4model in 1 + 1 dimensions

Strong-coupling-expansion analysis of the false-vacuum decay rate of the lattice ϕ⁴model in 1 + 1 dimensions