Evidence for the unbinding of the 𝜙4 kink’s shape mode
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Abstract The 𝜙4 double-well theory admits a kink solution, whose rich phenomenology is strongly affected by the existence of a single bound excitation called the shape mode. We find that the leading quantum correction to the energy needed to excite the shape mode is −0.115567λ/M in terms of the coupling λ/4 and the meson mass M evaluated at the minimum of the potential. On the other hand, the correction to the continuum threshold is −0.433λ/M. A naive extrapolation to finite coupling then suggests that the shape mode melts into the continuum at the modest coupling of λ/4 ∼ 0.106M2, where the ℤ2 symmetry is still broken.
2014 ◽
Vol 45
(2)
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pp. 167-178
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1989 ◽
Vol 131
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pp. 226-226
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2015 ◽
Vol 5
(9)
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pp. 181
2014 ◽
Vol 45
(1)
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pp. 52-63
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1967 ◽
Vol 28
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pp. 177-206
1999 ◽
Vol 173
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pp. 249-254
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