Tensor polarizability of the vector mesons from SU(3) lattice gauge theory. (English) Zbl 1405.81171
Summary: The magnetic dipole polarizabilities of the vector \({\rho}^0\) and \({\rho}^{\pm}\) mesons in SU(3) pure gauge theory are calculated in the article. Based on this the authors explore the contribution of the dipole magnetic polarizabilities to the tensor polarization of the vector mesons in external abelian magnetic field. The tensor polarization leads to the dilepton asymmetry observed in non-central heavy ion collisions and can be also estimated in lattice gauge theory.
MSC:
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81T25 | Quantum field theory on lattices |
References:
| [1] | E.V. Luschevskaya, O.E. Solovjeva and O.V. Teryaev, Determination of the properties of vector mesons in external magnetic field by Quenched SU(3) Lattice QCD, JHEP09 (2017) 142 [arXiv:1608.03472] [INSPIRE]. |
| [2] | M.A. Andreichikov, B.O. Kerbikov, V.D. Orlovsky and Yu.A. Simonov, Meson Spectrum in Strong Magnetic Fields, Phys. Rev.D 87 (2013) 094029 [arXiv:1304.2533] [INSPIRE]. |
| [3] | V.D. Orlovsky and Yu.A. Simonov, Nambu-Goldstone mesons in strong magnetic field, JHEP09 (2013) 136 [arXiv:1306.2232] [INSPIRE]. |
| [4] | S. Cho, K. Hattori, S.H. Lee, K. Morita and S. Ozaki, Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States, Phys. Rev.D 91 (2015) 045025 [arXiv:1411.7675] [INSPIRE]. |
| [5] | H. Taya, Hadron Masses in Strong Magnetic Fields, Phys. Rev.D 92 (2015) 014038 [arXiv:1412.6877] [INSPIRE]. |
| [6] | M. Kawaguchi and S. Matsuzaki, Vector meson masses from a hidden local symmetry in a constant magnetic field, Phys. Rev.D 93 (2016) 125027 [arXiv:1511.06990] [INSPIRE]. |
| [7] | K. Hattori, T. Kojo and N. Su, Mesons in strong magnetic fields: (I) General analyses, Nucl. Phys.A 951 (2016) 1 [arXiv:1512.07361] [INSPIRE]. |
| [8] | P. Gubler, K. Hattori, S.H. Lee, M. Oka, S. Ozaki and K. Suzuki, D mesons in a magnetic field, Phys. Rev.D 93 (2016) 054026 [arXiv:1512.08864] [INSPIRE]. |
| [9] | G. Martinelli, G. Parisi, R. Petronzio and F. Rapuano, The Proton and Neutron Magnetic Moments in Lattice QCD, Phys. Lett.B 116 (1982) 434 [INSPIRE]. |
| [10] | H. Liu, L. Yu and M. Huang, Charged and neutral vector ρ mesons in a magnetic field, Phys. Rev.D 91 (2015) 014017 [arXiv:1408.1318] [INSPIRE]. |
| [11] | E.V. Luschevskaya, O.E. Solovjeva, O.A. Kochetkov and O.V. Teryaev, Magnetic polarizabilities of light mesons in SU(3) lattice gauge theory, Nucl. Phys.B 898 (2015) 627 [arXiv:1411.4284] [INSPIRE]. · Zbl 1329.81419 |
| [12] | NPLQCD collaboration, S.R. Beane et al., Ab initio Calculation of the np → dγ Radiative Capture Process, Phys. Rev. Lett.115 (2015) 132001 [arXiv:1505.02422] [INSPIRE]. |
| [13] | E.V. Luschevskaya, O.A. Kochetkov, O.V. Teryaev and O.E. Solovjeva, π±and ρ0,±mesons in a strong magnetic field on the lattice, JETP Lett.101 (2015) 674 [INSPIRE]. · Zbl 1329.81419 |
| [14] | B.B. Brandt, G. Bali, G. Endrődi and B. Gläßle, QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions, PoS(LATTICE2015)265 (2016) [arXiv:1510.03899] [INSPIRE]. |
| [15] | G.S. Bali, B.B. Brandt, G. Endrődi and B. Gläßle, Meson masses in electromagnetic fields with Wilson fermions, Phys. Rev.D 97 (2018) 034505 [arXiv:1707.05600] [INSPIRE]. |
| [16] | E.V. Luschevskaya, O.E. Solovjeva and O.V. Teryaev, Magnetic polarizability of pion, Phys. Lett.B 761 (2016) 393 [arXiv:1511.09316] [INSPIRE]. |
| [17] | A.M. Baldin, Polarizability of nucleons, Nucl. Phys.18 (1960) 310. |
| [18] | L.V. Fil’kov and V.L. Kashevarov, Determination of π+-meson polarizabilities from the γγ → π+π−process, Phys. Rev.C 73 (2006) 035210 [nucl-th/0512047] [INSPIRE]. |
| [19] | A. Samsonov, Magnetic moment of the rho meson in QCD sum rules: αscorrections, JHEP12 (2003) 061 [hep-ph/0308065] [INSPIRE]. |
| [20] | T.M. Aliev, A. Özpineci and M. Savci, Magnetic and quadrupole moments of light spin-1 mesons in light cone QCD sum rules, Phys. Lett.B 678 (2009) 470 [arXiv:0902.4627] [INSPIRE]. |
| [21] | D. Djukanovic, E. Epelbaum, J. Gegelia and U.G. Meissner, The magnetic moment of the ρ-meson, Phys. Lett.B 730 (2014) 115 [arXiv:1309.3991] [INSPIRE]. |
| [22] | F.X. Lee, S. Moerschbacher and W. Wilcox, Magnetic moments of vector, axial and tensor mesons in lattice QCD, Phys. Rev.D 78 (2008) 094502 [arXiv:0807.4150] [INSPIRE]. |
| [23] | B. Owen, W. Kamleh, D. Leinweber, B. Menadue and S. Mahbub, Light Meson Form Factors at near Physical Masses, Phys. Rev.D 91 (2015) 074503 [arXiv:1501.02561] [INSPIRE]. |
| [24] | E.L. Bratkovskaya, O.V. Teryaev and V.D. Toneev, Anisotropy of dilepton emission from nuclear collisions, Phys. Lett.B 348 (1995) 283 [INSPIRE]. |
| [25] | G. Baym, T. Hatsuda and M. Strickland, Structure of virtual photon polarization in ultrarelativistic heavy-ion collisions, Nucl. Phys.A 967 (2017) 712 [arXiv:1704.04526] [INSPIRE]. |
| [26] | M. Lüscher and P. Weisz, On-Shell Improved Lattice Gauge Theories, Commun. Math. Phys.97 (1985) 59 [Erratum ibid.98 (1985) 433] [INSPIRE]. · Zbl 1223.81148 |
| [27] | V.G. Bornyakov, E.M. Ilgenfritz and M. Müller-Preussker, Universality check of Abelian monopoles, Phys. Rev.D 72 (2005) 054511 [hep-lat/0507021] [INSPIRE]. |
| [28] | H. Neuberger, Exactly massless quarks on the lattice, Phys. Lett.B 417 (1998) 141 [hep-lat/9707022] [INSPIRE]. |
| [29] | G. ’t Hooft, A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories, Nucl. Phys.B 153 (1979) 141 [INSPIRE]. |
| [30] | H. Zainuddin, Group theoretic quantization of a particle on a torus in a constant magnetic field, Phys. Rev.D 40 (1989) 636 [INSPIRE]. |
| [31] | G.-H. Chen, Degeneracy of Landau levels and quantum qroup slq (2), Phys. Rev.B 53 (1996) 9540. |
| [32] | M.H. Al-Hashimi and U.J. Wiese, Discrete Accidental Symmetry for a Particle in a Constant Magnetic Field on a Torus, Annals Phys.324 (2009) 343 [arXiv:0807.0630] [INSPIRE]. · Zbl 1159.81044 · doi:10.1016/j.aop.2008.07.006 |
| [33] | D.E. Kharzeev, K. Landsteiner, A. Schmitt and H.-U. Yee, ‘Strongly interacting matter in magnetic fields’: an overview, Lect. Notes Phys.871 (2013) 1 [arXiv:1211.6245] [INSPIRE]. · Zbl 1341.81007 · doi:10.1007/978-3-642-37305-3_1 |
| [34] | P.V. Buividovich, M.I. Polikarpov and O.V. Teryaev, Lattice studies of magnetic phenomena in heavy-ion collisions, Lect. Notes Phys.871 (2013) 377 [arXiv:1211.3014] [INSPIRE]. · doi:10.1007/978-3-642-37305-3_14 |
| [35] | P.V. Buividovich, M.N. Chernodub, D.E. Kharzeev, T. Kalaydzhyan, E.V. Luschevskaya and M.I. Polikarpov, Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory, Phys. Rev. Lett.105 (2010) 132001 [arXiv:1003.2180] [INSPIRE]. |
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