Tuesday, February 14, 2012

1202.2721 (Koushik Dutta et al.)

On the Existence of Tunneling Bounce Solutions in Piecewise Linear
Potentials
   [PDF]

Koushik Dutta, Cecelie Hector, Thomas Konstandin, Pascal M. Vaudrevange, Alexander Westphal
Coleman tunneling in a general scalar potential with two non-degenerate
minima is known to have an approximation in terms of a piecewise linear
triangular-shaped potential with sharp 'kinks' at the place of the local
minima. This approximate potential has a regime where the existence of the
bounce solution needs the scalar field to 'wait' for some amount of Euclidean
time at one of the 'kinks'. We discuss under which circumstances the correct
bounce action can be consistently obtained as the limiting case of a regular
scalar potential where 'kinks' are resolved as locally smooth 'cap' regions.
View original: http://arxiv.org/abs/1202.2721

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