Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results

Journal

2011 | 9 | 5 | 1237-1247

Article title

Symmetry preserving regularization with a cutoff

Content

Title variants

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.

Publisher

Journal

Year

Volume

9

Issue

5

Pages

1237-1247

Physical description

Dates

published
1 - 10 - 2011
online
15 - 9 - 2011

Contributors

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

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-011-0039-y
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.