Derivative Expansion and Soliton Masses

Details Derivative Expansion and Soliton Masses Derivative Expansion and Soliton Masses

1999-07-28

arxiv.org/abs/hep-th/9907208v1

Phys.Lett. B467 (1999) 238-246

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 3 figures, RevTeX, uses epsfig.sty

Scientific paper

10.1016/S0370-2693(99)01136-3

We present a simple algorithm to implement the generalized derivative expansion introduced previously by L-H. Chan, and apply it to the calculation of the one-loop mass correction to the classical soliton mass in the 1+1 dimensional Jacobi model. We then show how this derivative expansion approach implies that the total (bosonic plus fermionic) mass correction in an N=1 supersymmetric soliton model is determined solely by the asymptotic values (and derivatives) of the fermionic background potential. For a static soliton the total mass correction is $-m/(2\pi)$, in agreement with recent analyses using phase-shift methods.

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