Instantons and multi-instantons in curvilinear coordinates
نویسندگان
چکیده
منابع مشابه
Instantons in curvilinear coordinates
The multi-instanton solutions by ’tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. Expressions can be notably simplified by the appropriate gauge transformation. This generates the compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating connection are irrelevant for physics but affect gauge dependent quantities. The third con...
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The explicit multi-instanton solutions by ’tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. The idea is that a gauge transformation can notably simplify the expressions obtained after the change of variables. The gauge transform generates a compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating field are irrelevant for physi...
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We discuss various aspects of multi–instanton configurations in generic multi–cut matrix models. Explicit formulae are presented in the two–cut case and, in particular, we obtain general formulae for multi–instanton amplitudes in the one–cut matrix model case as a degeneration of the two–cut case. These formulae show that the instanton gas is ultra–dilute, due to the repulsion among the matrix ...
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This work presents a classification of all smooth ’t Hooft–Jackiw–Nohl–Rebbi instantons over Gibbons–Hawking spaces. That is, we find all smooth SU(2) Yang–Mills instantons over these spaces which arise by conformal rescalings of the metric with suitable functions. Since the Gibbons–Hawking spaces are hyper-Kähler gravitational instantons, the rescaling functions must be positive harmonic. By u...
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In this paper we explicitly calculate the analogue of the ’t Hooft SU(2) Yang–Mills instantons on Gibbons–Hawking multi-centered gravitational instantons, which come in two parallel families: the multi-Eguchi–Hanson, or Ak ALE gravitational instantons and the multi-Taub–NUT spaces, or Ak ALF gravitational instantons. We calculate their energy and find the reducible ones. Following Kronheimer we...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2000
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(00)00450-8