Symmetry preserving regularization with a cutoff

• Authors: Gabor Cynolter , Endre Lendvai
• Languages of publication: EN

Abstracts

EN

A Lorentz and gauge symmetry preserving regularization method is proposed in 4 dimensions based on a momentum cutoff. We use the conditions of gauge invariance or equivalently the freedom to shift the loop momentum to define the evaluation of the terms carrying even number of Lorentz indices, e.g. proportional to k
µ
k
ν. The remaining scalar integrals are calculated with a four dimensional momentum cutoff. The finite terms (independent of the cutoff) are free of ambiguities coming from subtractions in non-trivial cases. Finite parts of the result are equal to that of dimensional regularization.

Keywords

EN

regularization; cutoff; 1-loop calculation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 5
• Pages: 1237-1247

Dates

published

1 - 10 - 2011

online

15 - 9 - 2011

Contributors

author

Gabor Cynolter

• Theoretical Physics Research Group of Hungarian Academy of Sciences, Eötvös University, Budapest, 1117 Pázmány Péter sétány 1/A, Hungary

author

Endre Lendvai

• Theoretical Physics Research Group of Hungarian Academy of Sciences, Eötvös University, Budapest, 1117 Pázmány Péter sétány 1/A, Hungary

References

• [1] G.’ t Hooft, M.J.G. Veltman, Nucl. Phys. B 44, 189(1972) http://dx.doi.org/10.1016/0550-3213(72)90279-9[Crossref]
• [2] H. Georgi, Annu. Rev. Nucl. Part. S. 43, 209 (1993) http://dx.doi.org/10.1146/annurev.ns.43.120193.001233[Crossref]
• [3] J. Schwinger, Phys. Rev. 82, 664 (1951) http://dx.doi.org/10.1103/PhysRev.82.664[Crossref]
• [4] S.P. Klevansky, Rev. Mod. Phys. 64, page number (1992)
• [5] M.J.G. Veltman, Acta Phys. Pol. B 12, 437 (1981)
• [6] K. Hagiwara, S. Ishihara, R. Szalapski, D. Zeppenfeld, Phys. Rev. D 48, 2182 (1993) http://dx.doi.org/10.1103/PhysRevD.48.2182[Crossref]
• [7] M. Harada, K. Yamawaki, Phys. Rev. D 64, 014023 (2001) http://dx.doi.org/10.1103/PhysRevD.64.014023[Crossref]
• [8] M. Oleszczuk, Z. Phys. C Part. Fields 64, 533 (1994) http://dx.doi.org/10.1007/BF01560115[Crossref]
• [9] S. B. Liao, Phys. Rev. D 56, 5008 (1997) http://dx.doi.org/10.1103/PhysRevD.56.5008[Crossref]
• [10] T. Varin, D. Davesne, M. Oertel, M. Urban, Nucl. Phys. A 791, 422 (2007) http://dx.doi.org/10.1016/j.nuclphysa.2007.05.003[Crossref]
• [11] Y. Gu, J. Phys. A-Math. Gen. 39, 13575 (2006) http://dx.doi.org/10.1088/0305-4470/39/43/012[Crossref]
• [12] J. Horejsi, J. Novotny, O.I. Zavyalov, Phys. Lett. B 213, 173 (1988) http://dx.doi.org/10.1016/0370-2693(88)91020-9[Crossref]
• [13] Y.L. Wu, Int. J. Mod. Phys. A 18, 5363 (2003) http://dx.doi.org/10.1142/S0217751X03015222[Crossref]
• [14] A.A. Osipov, M.K. Volkov, Sov. J. Nucl. Phys. 41, 500 (1985)
• [15] E. Ruiz Arriola, Phys. Lett. B 253, 430 (1991) http://dx.doi.org/10.1016/0370-2693(91)91746-I[Crossref]
• [16] V. Bernard et al., Ann. Phys.-New York 249, 499 (1996) http://dx.doi.org/10.1006/aphy.1996.0081[Crossref]
• [17] B. Bajc et al., Nucl. Phys. A 604, 406 (1996) http://dx.doi.org/10.1016/0375-9474(96)00167-4[Crossref]
• [18] F. del Aguila, A. Culatti, R. Munoz Tapia, M. Perez-Victoria, Nucl. Phys. B 537, 561 (1999) http://dx.doi.org/10.1016/S0550-3213(98)00645-2[Crossref]
• [19] C.R. Pontes, A.P. Baeta Scarpelli, M. Sampaio, J.L. Acebal, M.C. Nemes, Eur. Phys. J. C 53, 121 (2008) http://dx.doi.org/10.1140/epjc/s10052-007-0437-x[Crossref]
• [20] O.A. Battistel, M.C. Nemes, Phys. Rev. D 59, 055010 (1999) http://dx.doi.org/10.1103/PhysRevD.59.055010[Crossref]
• [21] E.W. Dias, A.P. Baeta Scarpelli, L.C.T. Brito, M. Sampaio, M.C. Nemes, Eur. Phys. J. C 55, 667 (2008) http://dx.doi.org/10.1140/epjc/s10052-008-0614-6[Crossref]
• [22] B. Hiller, A.L. Mota, M.C. Nemes, A.A. Osipov, M. Sampaio, Nucl. Phys. A 769, 53 (2006) http://dx.doi.org/10.1016/j.nuclphysa.2006.02.002[Crossref]
• [23] S. Arnone, T.R. Morris, O.J. Rosten, Eur. Phys. J. C 50, 467 (2007) http://dx.doi.org/10.1140/epjc/s10052-007-0258-y[Crossref]
• [24] M. Dillig, Int. J. Mod. Phys. E 16, 59 (2007) http://dx.doi.org/10.1142/S0218301307005600[Crossref]
• [25] D. Anselmi, E. Ciuffoli, Phys. Rev. D 81, 085043 (2010) http://dx.doi.org/10.1103/PhysRevD.81.085043[Crossref]
• [26] G. Cynolter, E. Lendvai, G. Pócsik, Mod. Phys. Lett. A 24, 2331 (2009) http://dx.doi.org/10.1142/S0217732309031594[Crossref]
• [27] G. Cynolter, E. Lendvai, Eur. Phys. J. C 58, 463 (2008) http://dx.doi.org/10.1140/epjc/s10052-008-0771-7[Crossref]
• [28] R. Barbieri, L. Maiani, Nucl. Phys. B 224, 32 (1983) http://dx.doi.org/10.1016/0550-3213(83)90311-5[Crossref]
• [29] L. Lavoura, J.P. Silva, Phys. Rev. D 47, 2046 (1993) http://dx.doi.org/10.1103/PhysRevD.47.2046[Crossref]
• [30] M.E. Peskin, D.V. Schroeder, An Introduction to Quantum Field Theory (Westview Press, Boulder Colorado, 1995)
• [31] S. Falk, R. Hausling, F. Scheck, J. Phys. A-Math. Theor. 43, 035401 (2010) http://dx.doi.org/10.1088/1751-8113/43/3/035401[Crossref]
• [32] K.J. Keller, PhD Thesis, Hamburg University (Hamburg, Germany, 2010)
• [33] D. Prange, J. Phys. A-Math. Gen. 32, 2225 (1999) http://dx.doi.org/10.1088/0305-4470/32/11/015[Crossref]
• [34] J. Mas, M. Perez-Victoria, C. Seijas, J. High Energy Phys. 0203, 049 (2002) http://dx.doi.org/10.1088/1126-6708/2002/03/049[Crossref]
• [35] M. Perez-Victoria, Phys. Lett. B 442, 315 (1998) http://dx.doi.org/10.1016/S0370-2693(98)01217-9[Crossref]
• [36] G. Cynolter, E. Lendvai, G. Pócsik, Eur. Phys. J. C 46, 545 (2006) http://dx.doi.org/10.1140/epjc/s2006-02512-0[Crossref]
• [37] G. ’t Hooft, Nucl. Phys. B 33, 173 (1971) http://dx.doi.org/10.1016/0550-3213(71)90395-6[Crossref]
• [38] T. Hahn, M. Perez-Victoria, Comput. Phys. Commun. 118, 15 (1999) http://dx.doi.org/10.1016/S0010-4655(98)00173-8[Crossref]
• [39] G. Passarino, M.J.G. Veltman, Nucl. Phys. B 160, 151 (1979) http://dx.doi.org/10.1016/0550-3213(79)90234-7[Crossref]
• [40] G. Cynolter, E. Lendvai, arXiv:hep-ph/1012.4648

Identifiers

DOI

10.2478/s11534-011-0039-y