Abstract
We present a new simpleγ 5 regularization scheme. We discuss its use in the standard radiative correction calculations including the anomaly contributions. The new scheme features an anticommutingγ 5 which leads to great simplifications in practical calculations. We carefully discuss the underlying mathematics of ourγ 5-scheme which is formulated in terms of simple projection operations.
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G. `t Hooft, M. Veltman: Nucl. Phys. B44 (1972) 189; C.G. Bollini, J.J. Giambiagi: Phys. Lett. B40 (1972) 566: G.M. Cicuta, E. Montaldi: Nuovo Cimento Lett. 4 (1972) 329; J.F. Ashmore: Nuovo Cimento Lett. 4 (1972) 289
D.J. Broadhurst, N. Gray, K. Schilcher: Gauge-invariant onshellZ 2 in QED, QCD and the effective field theory of a static quark, Open Univ. preprint OUT-4102-29
D. Kreimer: Phys. Lett. B237 (1990) 59
D.A. Akyeampong, R. Delbourgo: Nuovo Cimento 17A (1973) 578; 18A (1973) 94; 19A (1974) 219
G. Thompson, H.L. Yu: Phys. Lett. 151B (1985) 119
P. Breitenlohner, D. Maison: Commun. Math. Phys. 52 (1977) 11,39,55
A. Barroso et al.: Phys. Lett. B261 (1991) 123
V. Elias, G. McKeon, R.B. Mann: Nucl. Phys. B229 (1983) 487; B266 (1986) 125
H. Nicolai, P.K. Townsend: Phys. Lett. 93B (1980) 111
J.G. Körner, G. Kramer, B. Lampe, G. Schuler: Phys. Lett. 164B (1985) 136
J.G. Körner, G. Schuler, G. Kramer, B. Lampe: Z. Phys. C — Particles and fields 32 (1986) 181
T. Muta: Foundations of quantum chromodynamics. Singapore: World Scientific Lect. Notes in Phys. Vol. 5
D. Bardin et al.: Nucl. Phys. B351 (1991) 1
J. Jersak, E. Laermann, P.M. Zerwas: Phys. Rev. D 25 (1982) 1218
R. Kleiss, F.M. Renard, C. Verzegnasi: Nucl. Phys. B286 (1987) 669
G. Bonneau: Int. J. Mod. Phys. A5 (1990) 3831
J. Feikes: Anomalien in dimensionaler Regularisierung. Diplom thesis, unpublished II. Inst. f. theor. Physik, Univ. Hamburg (10/1988)
G. Thompson: private communication
M.J. Dugan, B. Grinstein: Phys. Lett. B256 (1991) 239
M. Chanowitz, M. Furman, I. Hinchcliffe: Nucl. Phys. B159 (1979) 225
R. Coqueraux: Spinors in physics and geometry. Singapore: World Scientific, A. Trautmann, G. Furlan (eds.) 1988
A. Zee: Phys. Rev. Lett. 29 (1972) 1198
J. Collins: Renormalization. Cambridge, Cambridge Univ. Press 1984
G. Thompson et al.: Renormalization, World-Identities and the BM-scheme, in preparation
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Körner, J.G., Kreimer, D. & Schilcher, K. A practicableγ 5-scheme in dimensional regularization. Z. Phys. C - Particles and Fields 54, 503–512 (1992). https://doi.org/10.1007/BF01559471
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DOI: https://doi.org/10.1007/BF01559471