Energy landscape of d-dimensional Q-balls
- Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755 (United States)
We investigate the properties of Q-balls in d spatial dimensions. First, a generalized virial relation for these objects is obtained. We then focus on potentials V({phi}{phi}{sup {dagger}})={sub n=1}{sup 3}a{sub n}({phi}{phi}{sup {dagger}}){sup n}, where a{sub n} is a constant and n is an integer, obtaining variational estimates for their energies for arbitrary charge Q. These analytical estimates are contrasted with numerical results and their accuracy evaluated. Based on the results, we offer a simple criterion to classify large and small d-dimensional Q-balls for this class of potentials. A minimum charge is then computed and its dependence on spatial dimensionality is shown to scale as Q{sub min}{approx}exp(d). We also briefly investigate the existence of Q-clouds in d dimensions.
- OSTI ID:
- 20782679
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevD.73.065008; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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