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Compton scattering in the light-cone Tamm-Dancoff approximation

D. Mustaki and S. Pinsky

  • Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210

Phys. Rev. D 45, 3775 – Published 15 May, 1992

DOI: https://doi.org/10.1103/PhysRevD.45.3775

Abstract

The Tamm-Dancoff approximation is used to study Compton scattering in light-cone-quantized QED (D. Mustaki, S. Pinsky, J. Shigemitsu, and K. G. Wilson) The charge-one sector is considered in a two-particle truncated Fock space. The problem is exactly solvable and it is shown that the internal photon propagator develops a singularity similar to the one reported in the light-cone calculation of positronium (M. Krautgärtner, H. C. Pauli, and F. Wölz). This singularity depends on the external energy and therefore cannot be removed by the conventional counterterms.

References (7)

  1. T.M. Yan, Phys. Rev. D 7, 1760 (1973)
  2. I. Tamm, J. Phys. (USSR) 9, 449 (1945); S.M. Dancoff, Phys. Rev. 78, 382 (1950).
  3. H.C. Pauli and S.J. Brodsky, Phys. Rev. D 32, 1993 (1985); ibid. 32, 2001 (1985). A complete list of references on the discrete light cone quantization approach can be found in A.C. Tang, S.J. Brodsky and H.C. Pauli, ibid. 44, 1842 (1991).
  4. M. Krautgärtner, H.C. Pauli and F. Wölz, preceding paper, Phys. Rev. D. 45, 3755 (1992).
  5. D. Mustaki, S. Pinsky, J. Shigemitsu and K.G. Wilson, Phys. Rev. D 43, 3411 (1991). This paper contains a relatively complete list of references to a vast number of earlier papers on LC QED.
  6. R.J. Perry, A. Harindranath, and K.G. Wilson, Phys. Rev. Lett. 65, 2959 (1990).
  7. S. Glazek and R. Perry, this issue, Phys. Rev. D 45, 3740 (1992).

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