Imbimbo, Camillo ; Mukhi, Sunil
(1985)
*Index theorems and supersymmetry in the soliton sector : (II). Magnetic monopoles in 3+1 dimensions*
Nuclear Physics - Section B: Particle Physics, Field Theory and Statistical Systems, Physical Mathematics, 249
(1).
pp. 143-156.
ISSN 0550-3213

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/055032...

Related URL: http://dx.doi.org/10.1016/0550-3213(85)90043-4

## Abstract

For supersymmetric Yang-Mills theories with Bogomolny-Prasad-Sommerfield monopoles, we use an open-space trace theorem on R^{3} to calculate the O(h^{-}) correction to the monopole mass. For the N = 2 theory, the unrenormalized mass correction is non-vanishing (and divergent). To the same order, we calculate the quantum corrections to the central charges, and demonstrate explicitly that the Bogomolny bound is saturated. We also show that the mass correction for the N = 4 theory vanishes to O(h^{-}). Finally we discuss the renormalization of the mass correction for the N = 2 theory. This requires the parameters of the theory to be renormalized in the monopole background-field gauge, although there is no simple way known to do this. We exhibit calculations in standard gauges to show explicitly that they give gauge-dependent answers. Physical arguments based on the Dirac quantization condition suggest that the renormalized mass correction vanishes.

Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |

ID Code: | 20845 |

Deposited On: | 20 Nov 2010 13:28 |

Last Modified: | 03 Mar 2011 05:54 |

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