Regular n Instanton Fields and Singular Gauge Transformations

Giambiagi, J.J.; Rothe, K.D.

doi:10.1016/0550-3213(77)90022-0

Regular n Instanton Fields and Singular Gauge Transformations

May, 1977

14 pages

Published in:

Nucl.Phys.B 129 (1977) 111-124

Published: 1977

DOI:

10.1016/0550-3213(77)90022-0

Report number:

CERN-TH-2325

View in:

CERN Document Server

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Abstract: (Elsevier)

The singularities of 't Hooft's N -instanton solution obscure its topological properties. It is shown that these singularities may be displaced and in fact removed to infinity by suitable singular gauge transformations. In this new regular representation, the winding number of the field can be defined following the BPST prescription. The example of two instantons is discussed in detail.

GAUGE FIELD THEORY: INSTANTON
SYMMETRY: SU(2)
FIELD EQUATIONS
TRANSFORMATION: GAUGE

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