Energy, central charge, and the BPS bound for (1+1)-dimensional supersymmetric solitons

Aug, 1998
14 pages
Published in:
  • Nucl.Phys.B 544 (1999) 432-447
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Abstract:
We consider one-loop quantum corrections to soliton energies and central charges in the supersymmetric ϕ4\phi^4 and sine-Gordon models in 1+1 dimensions. In both models, we unambiguously calculate the correction to the energy in a simple renormalization scheme and obtain ΔH=m/(2π)\Delta H = - m/(2\pi), in agreement with previous results. Furthermore, we show that there is an identical correction to the central charge, so that the BPS bound remains saturated in the one-loop approximation. We extend these results to arbitrary 1+1 dimensional supersymmetric theories.
Note:
  • 15 pages, RevTeX; v2: generalized energy result, added minor clarifications, and fixed typos; v3: more minor clarifications and corrections; v4: fixed factor of 2 in eq. (25); v5: fixed minor error in eq. (55) Report-no: MIT-CTP #2775 Journal-ref: Nucl.Phys. B544 (1999) 432-447
  • phi**n model: 4
  • sine-Gordon model
  • dimension: 2
  • soliton
  • energy
  • central charge
  • perturbation theory: higher-order
  • renormalization