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2022•Physics Letters BOpen access

About the Coleman instantons in D dimensions

Viatcheslav Mukhanov, Alexander S. Sorin

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Abstract

We identify an infinite class of unbounded potentials for which the Coleman instantons do not exist in D-dimensional spacetime. For such potentials, the decay of a false vacuum is described by the new instantons introduced in [5], [6], [4]. For each spacetime dimension D, we also construct the two different classes of potentials for which the instanton equations are exactly solvable.

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We identify an infinite class of unbounded potentials for which the Coleman instantons do not exist in D-dimensional spacetime. For such potentials, the decay of a false vacuum is described by the new instantons introduced in [5], [6], [4]. For each spacetime dimension D, we also construct the two different classes of potentials for which the instanton equations are exactly solvable.

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Available abstract

We identify an infinite class of unbounded potentials for which the Coleman instantons do not exist in D-dimensional spacetime. For such potentials, the decay of a false vacuum is described by the new instantons introduced in [5], [6], [4]. For each spacetime dimension D, we also construct the two different classes of potentials for which the instanton equations are exactly solvable.

Key concepts: Instanton, Spacetime, Dimension (graph theory), Class (philosophy), Construct (python library), Physics, Mathematical physics, Theoretical physics

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