Litim, Daniel F.; Pawlowski, Jan M. Wilsonian flows and background fields. (English) Zbl 0999.81061 Phys. Lett., B 546, No. 3-4, 279-286 (2002). Summary: We study exact renormalization group flows for background field dependent regularizations. It is shown that proper-time flows are approximations to exact background field flows for a specific class of regulators. We clarify the rôle of the implicit scale dependence introduced by the background field. Its impact on the flow is evaluated numerically for scalar theories at criticality for different approximations and regularizations. Implications for gauge theories are discussed. Cited in 14 Documents MSC: 81T17 Renormalization group methods applied to problems in quantum field theory Keywords:renormalization group flows; regularizations; implicit scale dependence PDF BibTeX XML Cite \textit{D. F. Litim} and \textit{J. M. Pawlowski}, Phys. Lett., B 546, No. 3--4, 279--286 (2002; Zbl 0999.81061) Full Text: DOI arXiv References: [1] Reuter, M.; Wetterich, C., Nucl. Phys. B, 417, 181 (1994) [2] Reuter, M.; Wetterich, C., Phys. Rev. D, 56, 7893 (1997) [3] Reuter, M., Phys. Rev. D, 53, 4430 (1996) [4] Reuter, M., Mod. Phys. Lett. A, 12, 2777 (1997) [5] Pawlowski, J. M., Phys. Rev. D, 58, 045011 (1998) [6] Litim, D. F.; Pawlowski, J. M., Nucl. Phys. Proc. Suppl., 74, 325 (1999) [7] Falkenberg, S.; Geyer, B., Phys. Rev. D, 58, 085004 (1998) [8] Litim, D. F.; Pawlowski, J. M. [9] Freire, F.; Wetterich, C., Phys. Lett. B, 380, 337 (1996) [10] Freire, F.; Litim, D. F.; Pawlowski, J. M., Int. J. Mod. Phys. A, 16, 2035 (2001) · Zbl 0971.81097 [11] Pawlowski, J. M., Int. J. Mod. Phys. A, 16, 2105 (2001) [12] Bonini, M.; Tricarico, E., Nucl. Phys. B, 606, 231 (2001) [13] Gies, H., Phys. Rev. D, 66, 025006 (2002) [14] Litim, D. F.; Pawlowski, J. M. [15] Reuter, M.; Wetterich, C., Nucl. Phys. B, 427, 291 (1994) [16] Freire, F.; Litim, D. F., Phys. Rev. D, 64, 045014 (2001) [17] Reuter, M.; Saueressig, F., Phys. Rev. D, 65, 065016 (2002) [18] Liao, S. B., Phys. Rev. D, 53, 2020 (1996) [19] Litim, D. F.; Pawlowski, J. M., Phys. Lett. B, 516, 197 (2001) [20] Litim, D. F.; Pawlowski, J. M., Phys. Rev. D, 65, 081701 (2002) [21] Litim, D. F.; Pawlowski, J. M., Phys. Rev. D, 66, 025030 (2002) [22] Litim, D. F., Phys. Lett. B, 393, 103 (1997) · Zbl 0971.81097 [23] Litim, D. F., Nucl. Phys. B, 631, 128 (2002) [24] Mazza, M.; Zappalà, D., Phys. Rev. D, 64, 105013 (2001) [25] Bohr, O.; Schäfer, B. J.; Wambach, J., Int. J. Mod. Phys. A, 16, 3823 (2001) [26] Bonanno, A.; Zappalà, D., Phys. Lett. B, 504, 181 (2001) [27] Litim, D. F., JHEP, 0111, 059 (2001) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.