Derivative expansion and soliton masses

Jul, 1999
8 pages
Published in:
  • Phys.Lett.B 467 (1999) 238-246
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Abstract:
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/(2π)-m/(2\pi), in agreement with recent analyses using phase-shift methods.
Note:
  • 8 pages, 3 figures, RevTeX, uses epsfig.sty
  • 11.15.Kc
  • 11.27.+d
  • 11.10.Kk
  • expansion: derivative
  • soliton: mass
  • field theory: scalar
  • potential
  • dimension: 2
  • supersymmetry
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