Tunneling potential approach to <math display="inline"><mi>Q</mi></math>-balls

Espinosa, José Ramon; Heeck, Julian; Sokhashvili, Mikheil

doi:10.1103/PhysRevD.108.056019

Tunneling potential approach to $Q$ -balls

Jul 11, 2023

16 pages

Published in:

Phys.Rev.D 108 (2023) 5, 056019

Published: Sep 1, 2023

e-Print:

2307.05667 [hep-ph]

DOI:

10.1103/PhysRevD.108.056019 (publication)

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Abstract: (APS)

Q

-balls are bound-state configurations of complex scalars stabilized by a conserved Noether charge

Q

. They are solutions to a second-order differential equation that is structurally identical to Euclidean vacuum-decay bounce solutions in three dimensions. This enables us to translate the recent tunneling potential approach to

Q

-balls, which amounts to a reformulation of the problem that can simplify the task of finding approximate and even exact

Q

-ball solutions.

Note:

16 pages; fixed typo in Eq. (56)

charge: Noether
conservation law: Noether
dimension: 3
Q-ball
tunneling
differential equations
bounce
stability
Euclidean
bound state

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Tunneling potential approach to Q-balls

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Tunneling potential approach to $Q$ -balls