Higher-order corrections in the cut-vertex formalism

L. Baulieu; E. G. Floratos; C. Kounnas

doi:10.1103/PhysRevD.23.2464

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Higher-order corrections in the cut-vertex formalism

L. Baulieu^*

E. G. Floratos

C. Kounnas^†

Laboratoire de Physique Théorique de L'Ecole Normale Supérieure, 75231 Paris Cedex, France

CEA, Centre d'Etudes Nucléaires Saclay, France

Centre de Physique Théorique, Ecole Polytechnique, 91128 Palaiseau, Cedex, France

^*Present address: Physics Department, Harvard University, Cambridge, Massachusetts 02138.
^†Present address: Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 75231 Paris Cedex, France.

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Phys. Rev. D 23, 2464 – Published 15 May, 1981

DOI: https://doi.org/10.1103/PhysRevD.23.2464

Abstract

An algorithm is given for the calculation of higher-order corrections to the cut vertices and their coefficient functions of deep-inelastic and annihilation processes in the model field theory ${(Φ^{3})}_{6}$ . The introduction of covariant phase-space variables renders the calculation simple and elucidates the relations between the deep-inelastic and annihilation structure functions.

References (9)

A. H. Mueller, Phys. Rev. D 18, 3705 (1978) S. Gupta and A. H. Mueller, ibid. 20, 118 (1979)
L. Baulieu, E. G. Floratos, and C. Kounnas, Phys. Lett. 89B, 84 (1979)
T. Kubota, Nucl. Phys. B165, 277 (1980)
G. Mack, Lecture Notes in Physics (Springer, Berlin, 1972), Vol. 17, p. 300 D. I. Kazakov, L. R. Comidje, N. V. Makhaldiani, and A. A. Vladimirov, Dubna Report No. E2 8085, 1974 (unpublished) A. J. Macfarlane and G. Woo, Nucl. Phys. B77, 91 (1974) ibid.B86, 548 (1975)
L. Baulieu, E. G. Floratos, and C. Kounnas, Nucl. Phys. B166, 321 (1980)
I. M. Gell'fand and G. E. Shilov, Generalized Functions (Academic, New York, 1964), Vol. 1
V. Gribov and L. Lipatov, Yad. Fiz. 15, 1218 (1972) [Sov. J. Nucl. Phys. 15, 675 (1972)]
S. Drell, D. J. Levy, and T. M. Yan, Phys. Rev. 187, 2159 (1969)
A. Mueller, Phys. Rev. D 2, 2963 (1970) J. C. Polkinghorne, Nuovo Cimento 7A, 555 (1972) P. M. Fishbane and J. D. Sullivan, Phys. Rev. D 6, 3568 (1972)

[c1] A. H. Mueller, Phys. Rev. D 18, 3705 (1978) S. Gupta and A. H. Mueller, ibid. 20, 118 (1979)

[c2] L. Baulieu, E. G. Floratos, and C. Kounnas, Phys. Lett. 89B, 84 (1979)

[c3] T. Kubota, Nucl. Phys. B165, 277 (1980)

[c4] G. Mack, Lecture Notes in Physics (Springer, Berlin, 1972), Vol. 17, p. 300 D. I. Kazakov, L. R. Comidje, N. V. Makhaldiani, and A. A. Vladimirov, Dubna Report No. E2 8085, 1974 (unpublished) A. J. Macfarlane and G. Woo, Nucl. Phys. B77, 91 (1974) ibid.B86, 548 (1975)

[c5] L. Baulieu, E. G. Floratos, and C. Kounnas, Nucl. Phys. B166, 321 (1980)

[c6] I. M. Gell'fand and G. E. Shilov, Generalized Functions (Academic, New York, 1964), Vol. 1

[c7] V. Gribov and L. Lipatov, Yad. Fiz. 15, 1218 (1972) [Sov. J. Nucl. Phys. 15, 675 (1972)]

[c8] S. Drell, D. J. Levy, and T. M. Yan, Phys. Rev. 187, 2159 (1969)

[c9] A. Mueller, Phys. Rev. D 2, 2963 (1970) J. C. Polkinghorne, Nuovo Cimento 7A, 555 (1972) P. M. Fishbane and J. D. Sullivan, Phys. Rev. D 6, 3568 (1972)

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Higher-order corrections in the cut-vertex formalism

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