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Positivity results
for the Yang–Mills–Higgs Hessian
George Androulakis and Stamatis Dostoglou |
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Vol. 194 (2000), No. 1, 1–17
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Abstract |
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We study the second derivative Qcλ of the Yang–Mills–Higgs functional with structure group SU(2) at a spherically symmetric critical point cλ when the self-interaction parameter λ is not close to 0. We find that if Qcλ 0 is non-negative and with kernel consisting entirely of translation modes then positivity persists in a neighborhood of λ0. In particular, we show that if translation modes always account for the whole kernel then Qcλ is always non-negative. This extends our previous results for λ in an neighborhood of 0. |
Milestones
Received: 17 June 1998
Revised: 20 July 1999
Published: 1 May 2000
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Authors |
| George Androulakis | |
| University of
Missouri-Columbia Columbia, MO 65211 |
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| Stamatis Dostoglou | |
| University of
Missouri-Columbia Columbia, MO 65211 |
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