More Exact Tunneling Solutions in Scalar Field Theory
Koushik Dutta, Cecelie Hector, Pascal M. Vaudrevange, Alexander, Westphal
TL;DR
This paper derives exact tunneling solutions in scalar field theory for specific piecewise potentials, validating them against approximation methods and discussing potential cosmological applications.
Contribution
It introduces new exact bounce solutions for piecewise linear-quartic and quartic-quartic potentials, enhancing the understanding of tunneling phenomena in these models.
Findings
Exact bounce solutions derived for specific potentials
Validation against thin-wall approximation and other potentials
Potential implications for cosmological models
Abstract
We present exact bounce solutions and amplitudes for tunneling in i) a piecewise linear-quartic potential and ii) a piecewise quartic-quartic potential. We cross check their correctness by comparing with results obtained through the thin-wall approximation and with a piecewise linear-linear potential. We briefly comment on applications in cosmology.
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