Author(s):

Etesi, Gábor; Hausel, Tamás

Article Title: 
Geometric interpretation of Schwarzschild instantons

Affiliation 

Abstract: 
We address the problem of finding Abelian instantons of finite energy on the Euclidean Schwarzschild manifold. This amounts to construct selfdual L2 harmonic 2forms on the space. Gibbons found a nontopological L2 harmonic form in the TaubNUT metric, leading to Abelian instantons with continuous energy. We imitate his construction in the case of the Euclidean Schwarzschild manifold and find a nontopological selfdual L2 harmonic 2form on it. We show how this gives rise to Abelian instantons and identify them with SU(2)instantons of Pontryagin number 2n2 found by Charap and Duff in 1977. Using results of Dodziuk and Hitchin we also calculate the full L2 harmonic space for the Euclidean Schwarzschild manifold.

Keywords: 
instantons; quantum field theory; Dyons; Euclidean Schwarzschild manifold; L2 harmonic forms; Primary: 58A14; Secondary: 81T13

Journal Title:

Journal of Geometry and Physics

Volume: 
37

Issue 
12

ISSN:

03930440

Publisher:

Elsevier

Date Published:

20010101

Start Page: 
126

End Page:

136

URL: 

DOI: 
10.1016/S03930440(00)000401

Open access: 
yes (repository) 