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Quantum Field Theories in the Infinite-Momentum Frame. IV. Scattering Matrix of Vector and Dirac Fields and Perturbation Theory
Phys. Rev. D 7, 1780 – Published 15 March, 1973
DOI: https://doi.org/10.1103/PhysRevD.7.1780
Abstract
The scattering matrix of coupled spin-one and Dirac field theories formulated in light-front quantization of the preceding paper is studied. The scattering matrix of the vector-gluon model in this new formulation is shown to give the same predictions as in the equal-time formulation to all orders in perturbation theory. Renormalizability of this model in the new formulation is also established. A further test of the light-front quantization of spin-one fields is discussed by examples of fermion-fermion interaction and virtual as well as real Compton scattering in the axial-vector-gluon model in the lowest-order perturbation theory. A reduction formula for vector particles is derived and the Wick theorem is proved. Peculiarities in the perturbation theory of the light-front formulation are discussed. Finally, a partonlike model for scattering of two energetic particles is proposed which satisfies manifest -channel unitarity.
See Also
Quantum Field Theories in the Infinite-Momentum Frame. I. Quantization of Scalar and Dirac Fields
References (25)
- S.-J. Chang, R. Root, and T.-M. Yan, Phys. Rev. D 7, 1133 (1973) S.-J. Chang and T.-M. Yan, ibid. 7, 1147 (1973)
- T.-M. Yan, preceding paper, Phys. Rev. D 7, 1760 (1973)
- J. Schwinger, Proc. Nat. Acad. Sci. U. S. 37, 452 (1951)
- I. S. Gerstein, R. Jackiw, B. W. Lee, and S. Weinberg [Phys. Rev. D 3, 2486 (1971)] T. D. Lee and C. N. Yang, Phys. Rev. 128, 885 (1962)
- T. Appelquist, Ann. Phys. (N.Y.) 54, 27 (1969)
- R. P. Feynman, Phys. Rev. Letters 23, 1415 (1969) in High Energy Collisions, edited by C. N. Yang (Gordon and Breach, New York, 1969)
Omitted endnote
- J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw-Hill, New York, 1965)
Omitted endnote
Omitted endnote
- R. P. Feynman, Phys. Rev. 76, 769 (1949) Bjorken and Drell, [8], Chap. 17
Omitted endnote
Omitted endnote
- [5]
- S. Weinberg, Phys. Rev. 118, 838 (1960)
- S. Weinberg, Phys. Rev. 150, 1313 (1966)
- S.-J. Chang and S. K. Ma, Phys. Rev. 180, 1506 (1969)
- J. D. Bjorken, J. Kogut, and D. Soper, Phys. Rev. D 3, 1382 (1971)
Omitted endnote
- J. Cornwall and R. Jackiw, Phys. Rev. D 4, 367 (1971) D. A. Dicus, R. Jackiw, and V. Teplitz, 4, 1733 (1971)
- B. W. Lee, Phys. Rev. D 1, 2361 (1970) J. Kogut, ibid. 4, 3101 (1971)
- S.-J. Chang, Phys. Rev. D 2, 2886 (1970) L. N. Chang and N. P. Chang, ibid. 4, 1856 (1971)
- S. D. Drell and T.-M. Yan, Phys. Rev. Letters 24, 855 (1970)
Omitted endnote
- S. Brodsky and R. Roskies [SLAC report, 1972 (unpublished)]