Geodesic
Canonical flow in the space of gauge parameters
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 91-102 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that the gauge dependence of one-particle irreducible amplitudes in the $SU(N)$ Yang–Mills theory is generated by a canonical flow with respect to the extended Slavnov–Taylor identity induced by the transformation of the gauge parameter $\alpha$ under the BRST symmetry. For linear covariant gauges, the analytic expansion in $\alpha$ of one-particle irreducible amplitudes is given in terms of coefficients evaluated in the Landau gauge and of derivatives with respect to $\alpha$ of the generating functional of the flow. We consider an application to the gauge flow of the gluon propagator.
Keywords: Yang–Mills theory, BRST symmetry, renormalization, nonlinear sigma model. 
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A. Quadri. Canonical flow in the space of gauge parameters. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 91-102. http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a4/

[1] E. Iancu, A. Leonidov, L. D. McLerran, Nucl. Phys. A, 692:3–4 (2001), 583–645, arXiv: hep-ph/0011241 | DOI | Zbl

[2] E. Ferreiro, E. Iancu, A. Leonidov, L. McLerran, Nucl. Phys. A, 703:12 (2002), 489–538, arXiv: hep-ph/0109115 | DOI | Zbl

[3] Y. Hatta, E. Iancu, L. McLerran, A. Staśto, D. N. Triantafyllopoulos, Nucl. Phys. A, 764 (2006), 423–459, arXiv: hep-ph/0504182 | DOI

[4] D. Binosi, A. Quadri, D. N. Triantafyllopoulos, High-energy QCD evolution from BRST symmetry, arXiv: 1402.4022

[5] A. C. Aguilar, D. Binosi, J. Papavassiliou, Phys. Rev. D, 78:2 (2008), 025010, 6 pp., arXiv: 0802.1870 | DOI | MR

[6] D. Binosi, J. Papavassiliou, Phys. Rep., 479:1–6 (2009), 1–152, arXiv: 0909.2536 | DOI | MR

[7] C. S. Fischer, A. Maas, J. M. Pawlowski, Ann. Phys., 324:11 (2009), 2408–2437, arXiv: 0810.1987 | DOI | MR | Zbl

[8] A. Cucchieri, T. Mendes, PoS (LATTICE 2007), 2007, 297, 7 pp., arXiv: 0710.0412

[9] I. L. Bogolubsky, E. M. Ilgenfritz, M. Müller-Preussker, A. Sternbeck, Phys. Lett. B, 676:1–3 (2009), 69–73, arXiv: 0901.0736 | DOI

[10] A. C. Aguilar, D. Binosi, J. Papavassiliou, JHEP, 11 (2009), 066, 29 pp., arXiv: 0907.0153 | DOI | MR

[11] N. K. Nielsen, Nucl. Phys. B, 101:1 (1975), 173–188 | DOI

[12] O. Piguet, K. Sibold, Nucl. Phys. B, 253 (1985), 517–540 | DOI | MR

[13] P. Gambino, P. A. Grassi, Phys. Rev. D, 62:7 (2000), 076002, 17 pp., arXiv: hep-ph/9907254 | DOI

[14] P. A. Grassi, Nucl. Phys. B, 462:2 (1996), 524–550, arXiv: hep-th/9505101 | DOI | MR

[15] P. A. Grassi, Nucl. Phys. B, 560:1–3 (1999), 499–550, arXiv: hep-th/9908188 | DOI | MR | Zbl

[16] C. Becchi, R. Collina, Nucl. Phys. B, 562:1 (1999), 412–430, arXiv: hep-th/9907092 | DOI | MR

[17] R. Ferrari, M. Picariello, A. Quadri, Ann. Phys., 294:2 (2001), 165–181, arXiv: hep-th/0012090 | DOI | MR

[18] D. Binosi, A. Quadri, Phys. Rev. D, 88:8 (2013), 085036, 13 pp., arXiv: 1309.1021 | DOI | MR

[19] P. A. Grassi, T. Hurth, A. Quadri, Phys. Rev. D, 70:10 (2004), 105014, 12 pp., arXiv: hep-th/0405104 | DOI | MR

[20] D. Binosi, A. Quadri, Phys. Rev. D, 84:6 (2011), 065017, 16 pp., arXiv: 1106.3240 | DOI

[21] D. Binosi, A. Quadri, Phys. Rev. D, 85:8 (2012), 085020, 12 pp., arXiv: 1201.1807 | DOI | MR

[22] D. Binosi, A. Quadri, Phys. Rev. D, 85:12 (2012), 121702, 5 pp., arXiv: 1203.6637 | DOI

[23] O. Piguet, S. P. Sorella, Algebraic renormalization. Perturbative Renormalization, Symmetries and Anomalies, Lecture Notes in Physics. New Series m: Monographs, 28, Springer, Berlin, 1995 | MR | Zbl

[24] N. Nakanishi, Progr. Theor. Phys., 35:6 (1966), 1111–1116 ; B. Lautrup, Mat. Fys. Medd. Kon. Dan. Vid.-Sel. Medd., 35 (1967), 29 | DOI

[25] A. A. Slavnov, S. A. Frolov, TMF, 73:2 (1987), 199–209 | DOI | MR

[26] G. Barnich, F. Brandt, M. Henneaux, Phys. Rep., 338:5 (2000), 439–569, arXiv: hep-th/0002245 | DOI | MR | Zbl

[27] A. Quadri, JHEP, 05 (2002), 051, 16 pp., arXiv: hep-th/0201122 | DOI | MR

[28] J. Gomis, J. Paris, S. Samuel, Phys. Rep., 259:1–2 (1995), 1–145, arXiv: hep-th/9412228 | DOI | MR

[29] A. A. Slavnov, TMF, 10:2 (1972), 153–161 | DOI

[30] J. C. Taylor, Nucl. Phys. B, 33:2 (1971), 436–444 | DOI | MR

[31] R. Alkofer, L. von Smekal, Phys. Rep., 353:5–6 (2001), 281–465, arXiv: hep-ph/0007355 | DOI | MR | Zbl

[32] A. Cucchieri, T. Mendes, G. M. Nakamura, E. M. S. Santos, PoS (FacesQCD), 2010, 026, 10 pp., arXiv: 1102.5233