Geodesic
Bosonization of the meson sector of QCD and parity breaking in strong interactions
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 12-27 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We describe a method of the low-energy bosonization of quantum chromodynamics based on the chiral and scale anomalies. We give the values of structure coupling constants for the effective chiral Lagrangian of dimension four obtained by the method of low-energy bosonization and by various alternative approaches. Based on the method of quark bosonization in the meson sector of quantum chromodynamics and a set of other basic principles of quantum chromodynamics, we justify a possibility that spatial parity is broken in a hadron medium in heavy-ion collisions.
Keywords: QCD bosonization, chiral anomaly, conformal anomaly, spatial parity breaking in strong interactions in a medium. 
@article{TMF_2015_185_1_a1,
     author = {A. A. Andrianov and V. A. Andrianov},
     title = {Bosonization of the~meson sector of {QCD} and parity breaking in strong interactions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {12--27},
     year = {2015},
     volume = {185},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a1/}
}
TY  - JOUR
AU  - A. A. Andrianov
AU  - V. A. Andrianov
TI  - Bosonization of the meson sector of QCD and parity breaking in strong interactions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 12
EP  - 27
VL  - 185
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a1/
LA  - ru
ID  - TMF_2015_185_1_a1
ER  - 
%0 Journal Article
%A A. A. Andrianov
%A V. A. Andrianov
%T Bosonization of the meson sector of QCD and parity breaking in strong interactions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 12-27
%V 185
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a1/
%G ru
%F TMF_2015_185_1_a1
A. A. Andrianov; V. A. Andrianov. Bosonization of the meson sector of QCD and parity breaking in strong interactions. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 12-27. http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a1/

[1] A. A. Andrianov, Yu. Novozhilov, Phys. Lett. B, 153:6 (1985), 422–426 ; A. A. Andrianov, Phys. Lett. B, 157:5–6 (1985), 425–429 ; A. A. Andrianov, V. A. Andrianov, Yu. V. Novozhilov, V. Yu. Novozhilov, Lett. Math. Phys., 11:3 (1986), 217–224 | DOI | DOI | DOI | MR

[2] J. Gasser, H. Leutwyler, Ann. Phys., 158:1 (1984), 142–210 ; Nucl. Phys. B, 250:1 (1985), 465–516 | DOI | MR | DOI

[3] V. Yu. Novozhilov, Phys.Lett. B, 228:2 (1989), 240–244 | DOI

[4] V. Novozhilov, Yu. Novozhilov, Phys. Lett. B, 522:1–2 (2001), 49–56, arXiv: ; Modern Phys. Lett. A, 21:35 (2006), 2649–2661, arXiv: ; В. Ю. Новожилов, Ю. В. Новожилов, ТМФ, 131:1 (2002), 62–71 hep-ph/0110006hep-ph/0605238 | DOI | Zbl | DOI | Zbl | DOI | DOI | Zbl

[5] D. V. Vasilevich, Yu. V. Novozhilov, A. G. Pronko, TMF, 101:2 (1994), 211–224 ; Yu. Novozhilov, A. Pronko, D. Vassilevich, A. Korotkov, Extended chiral group and scalar diquarks, arXiv: hep-ph/9901255 | DOI

[6] N. I. Karchev, A. A. Slavnov, TMF, 65:2 (1985), 192–201 ; J. Balog, Phys. Lett. B, 149:1–3 (1984), 197–200 ; Д. Дьяконов, M. Эйдес, Письма в ЖЭТФ, 38:7 (1983), 358–360; D. Dyakonov, V. Petrov, Nucl. Phys. B, 272:2 (1986), 457–489 ; L.-H. Chan, Phys. Rev. Lett., 55 (1985), 21 ; D. Ebert, S. Reinhardt, Phys. Lett. B, 173:4 (1986), 453–458 ; D. Espriu, E. de Rafael, J. Taron, Nucl. Phys. B, 345:1 (1990), 22–56 ; Nucl. Phys. B, 355:1 (1991), 278–279 | DOI | DOI | DOI | DOI | DOI | DOI | DOI

[7] J. Bijnens, G. Ecker, Ann. Rev. Nucl. Part. Sci., 64:1 (2014), 149–174, arXiv: 1405.6488 | DOI

[8] M. A. Shifman, Phys. Rep., 209:6 (1991), 341–378 ; J. C. Collins, A. Duncan, S. D. Joglekar, Phys. Rev. D, 16:2 (1977), 438–449 | DOI | MR | DOI

[9] A. A. Andrianov, V. A. Andrianov, Yu. V. Novozhilov, V. Yu. Novozhilov, Lett. Math. Phys., 11:3 (1986), 217–224 | DOI | MR

[10] A. A. Andrianov, V. A. Andrianov, Yu. V. Novozhilov, V. Yu. Novozhilov, Phys. Lett. B, 186:3–4 (1987), 401–404 | DOI

[11] A. A. Andrianov, V. A. Andrianov, A. N. Manashov, Internat. J. Modern Phys. A, 6:30 (1991), 5435–5445 | DOI

[12] A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, Yu. V. Novozhilov, TMF, 70:1 (1987), 63–75 | DOI

[13] A. A. Andrianov, V. A. Andrianov, V. L. Yudichev, J. Math. Sci., 88:2 (1998), 142–149 | DOI | MR

[14] A. A. Andrianov, D. Espriu, R. Tarrach, Nucl. Phys. B, 533:1 (1998), 429–472, arXiv: hep-ph/9803232 | DOI

[15] D. Weingarten, Phys. Rev. Lett., 51:20 (1983), 1830–1833 ; C. Vafa, E. Witten, Phys. Rev. Lett., 53:6 (1984), 535–536 ; D. Espriu, M. Gross, J. F. Wheater, Phys. Lett. B, 146:1–2 (1984), 67–74 | DOI | DOI | DOI | MR

[16] D. Kharzeev, R. D. Pisarski, Phys. Rev. D, 61:11 (2000), 111901, 4 pp., arXiv: ; D. Kharzeev, Phys. Lett. B, 633:2–3 (2006), 260–2644, arXiv: ; Ann. Phys., 325:1 (2010), 205–218, arXiv: ; D. Kharzeev, A. Zhitnitsky, Nucl. Phys. A, 797:1–2 (2007), 67–79, arXiv: hep-ph/9906401hep-ph/04061250911.37150706.1026 | DOI | DOI | DOI | MR | Zbl | DOI

[17] D. Kharzeev, R. D. Pisarski, M. H. G. Tytgat, Phys. Rev. Lett., 81:3 (1998), 512–515, arXiv: ; D. E. Kharzeev, L. D. McLerran, H. J. Warringa, Nucl. Phys. A, 803:3 (2008), 227–253, arXiv: ; K. Buckley, T. Fugleberg, A. Zhitnitsky, Phys. Rev. Lett., 84:21 (2000), 4814–4817, arXiv: hep-ph/98042210711.0950hep-ph/9910229 | DOI | DOI | DOI

[18] A. A. Andrianov, V. A. Andrianov, D. Espriu, X. Planells, Phys. Lett. B, 710:1 (2012), 230–235, arXiv: ; PoS(QFTHEP2011), 2013, 025, 7 pp. 1201.3485 | DOI | MR

[19] P. Wurn, G. Agakichiev, R. Bau et al. [CERES Collab.], Nucl. Phys. A, 590:1–2 (1995), 103–116 ; G. Agakichiev, M. Appenheimer, R. Averbeck et al. [CERES/NA45 Collab.], Eur. Phys. J. C, 4:2 (1998), 231–247 | DOI | DOI

[20] R. Arnaldi, R. Averbeck, K. Banicz et al. [NA60 Collab.], Phys. Rev. Lett., 96:16 (2006), 162302, 5 pp. | DOI

[21] A. Adare, S. Afanasiev, C. Aidala et al. [PHENIX Collab.], Phys. Rev. C, 81:3 (2010), 034911, 56 pp., arXiv: 0912.0244 | DOI

[22] G. Agakichiev, C. Agodi, H. Alvarez-Pol et al. [HADES Collab.], Phys. Rev. Lett., 98:5 (2007), 052302, 5 pp., arXiv: ; Phys. Lett. B, 663:1–2 (2008), 43–48 nucl-ex/0608031 | DOI | DOI

[23] K. O. Lapidus, V. M. Emel'yanov, Phys. Part. Nucl., 40:1 (2009), 29–48 | DOI

[24] I. Tserruya, “Electromagnetic Probes”, Relativistic Heavy Ion Physics, Landolt-Börnstein – Group I Elementary Particles, Nuclei and Atoms, 23, ed. R. Stock, Springer, Heidelberg, 2010, 4-43–4-74, arXiv: ; G. E. Brown, M. Rho, Phys. Rev. Lett., 66:21 (1991), 2720–2723 0903.0415 | DOI | DOI | MR

[25] A. A. Andrianov, V. A. Andrianov, D. Espriu, Sh. Planels, TMF, 170:1 (2012), 22–33 | DOI | DOI | MR

[26] A. A. Andrianov, D. Espriu, X. Planells, Eur. Phys. J. C, 73:1 (2013), 2294, 10 pp., arXiv: 1210.7712 | DOI

[27] V. N. Pervushin, EChAYa, 15:5 (1984), 1073–1110

[28] A. A. Belavin, A. M. Polyakov, A. S. Shvarts, Y. S. Tyupkin, Phys. Lett. B, 59:1 (1975), 85–87 ; G. 't Hooft, Phys. Rev. D, 14:12 (1976), 3432–3450 ; C. G. Callan, R. F. Dashen, D. J. Gross, Phys. Lett. B, 63:3 (1976), 334–340 | DOI | MR | DOI | DOI

[29] F. R. Klinkhamer, N. S. Manton, Phys. Rev. D, 30:10 (1984), 2212–2220 ; V. A. Kuzmin, V. A. Rubakov, M. E. Shaposhnikov, Phys. Lett. B, 155:1–2 (1985), 36–42 ; L. McLerran, E. Mottola, M. E. Shaposhnikov, Phys. Rev. D, 43:6 (1991), 2027–2035 ; G. D. Moore, K. Rummukainen, Phys. Rev. D, 61:10 (2000), 105008, 8 pp., arXiv: ; E. Shuryak, I. Zahed, Phys. Rev. D, 67:1 (2003), 014006, 7 pp., arXiv: hep-ph/9906259hep-ph/0206022 | DOI | DOI | DOI | DOI | DOI

[30] R. Rapp, J. Wambach, “Chiral Symmetry Restoration and Dileptons in Relativistic Heavy–Ion Collisions”, Advances in Nuclear Physics, Advances in the Physics of Particles and Nuclei (APPN), 25, ed. J. W. Negele, E. Vogt, Kluwer, New York, 2002, 1–205 ; W. Liu, R. Rapp, Nucl. Phys. A, 796:1–4 (2007), 101–121, arXiv: ; H. van Hees, R. Rapp, Nucl. Phys. A, 806:1–4 (2008), 339–387 nucl-th/0604031 | DOI | DOI | DOI

[31] J. J. Sakurai, Ann. Phys., 11:1 (1960), 1–48 ; Currents and Mesons, Univ. Chicago Press, Chicago, IL, 1969 | DOI | MR

[32] A. A. Andrianov, V. A. Andrianov, D. Espriu, X. Planells, Phys. Rev. D, 90:3 (2014), 034024, 7 pp., arXiv: 1402.2147 | DOI