Yu. A. Sitenko


We study the influence of boundaries on chiral effects in hot dense relativistic spinor matter in a strong magnetic field which is orthogonal to the boundaries. The most general set of boundary conditions ensuring the confinement of matter within the boundaries is employed. We find that the chiral magnetic effect disappears, whereas the chiral separation effect stays on, becoming dependent on temperature and on a choice of boundary conditions. As temperature increases from zero to large values, a stepped-shape behaviour of the chiral separation effect as a function of chemical potential is changed to a smooth one. A choice of the boundary condition can facilitate either amplification or diminution of the chiral separation effect; in particular, the effect can persist even at zero chemical potential, if temperature is finite. This points at a significant role of boundaries for physical systems with hot dense magnetized spinor matter, i.e. compact astrophysical objects (neutron stars and magnetars), relativistic heavy-ion collisions, novel materials known as the Dirac and Weyl semimetals.

Ключові слова

hot dense matter; strong magnetic field; chiral effects

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Akhiezer A.I. and Berestetskij V.B.: 1965, Quantum Electrodynamics (Interscience, New York).

Akhmerov A.R. and Beenakker C.W.J.: 2008, Phys. Rev. B, 77, 085423.

Alekseev A.Y., Cheianov V.V., and Frohlich J.: 1998, Phys. Rev. Lett., 81, 3503.

Al-Hashimi M.H. and Wiese U.-J.: 2012, Ann. Phys. (Amsterdam), 327, 1.

Arzoumanian Z., Chernoff D.F., and Cordes J.M.: 2002, Astrophys. J., 568, 289.

Basar G. and Dunne G.V.: 2013, Lect. Notes Phys., 871, 261.

Bogolioubov P.N.: 1968, Ann. Inst. Henri Poincare A 8, 163.

Bonneau G., Faraut J., and Valent G.: 2001, Amer. J. Phys., 69, 322.

Bordag M., G.L. Klimchitskaya G.L., Mohideen U.,

Mostepanenko V.M.: 2009, Advances in the Casimir Effect (Oxford University Press, Oxford).

Boyarsky A., Ruchayskiy O., Shaposhnikov M.: 2012, Phys. Rev. Lett. 109, 111602.

Casimir H.B.G.: 1948, Proc. Kon. Ned. Akad. Wetenschap B 51, 793.

Charbonneau J., Hoffman, and Heyl J.: 2010, Mon. Not. Roy. Astron. Soc. 404, L119.

Charbonneau J. and Zhitnitsky A.: 2010, J. Cosmol. Astropart. Phys. 08 (2010) 010.

Chatterjee S., Vlemmings W.H.T., Brisken W.F. et al: 2005, Astrophys. J. 630, L61.

Chodos A., Jaffe R.L., Johnson K., Thorn C.B., Weisskopf V.: 1974, Phys. Rev. D 9, 3471.

Das A.: 1997, Finite Temperature Field Theory (World Scientific, Singapore).

Ferrario L., Melatos A., Zrake J.: 2015, Space Sci. Rev., 191, 77.

Fukushima K., Kharzeev D.E., Warringa H.J.: 2008, Phys. Rev. D, 78, 074033.

Giovannini M. and Shaposhnikov M.: 1998, Phys. Rev. D 57, 2186.

Glendenning N.K.: 2000, Compact Stars: Nuclear Physics, Particle Physics, and General Relativity (Spriger, New York).

Gorbar E.V., Miransky V.A., Shovkovy I.A.,

Sukhachov P.O.: 2015, Phys. Rev. B 92, 245440.

Johnson K.: 1975, Acta Phys. Pol. B 6, 865.

Kharzeev D.E.: 2014, Prog. Part. Nucl. Phys., 75, 133.

Kharzeev D.E., McLerran L.D., Warringa H.J.: 2008, Nucl. Phys. A, 803, 227.

Metlitski M.A. and Zhitnitsky A.R.: 2005, Phys. Rev. D, 72, 045011.

Miransky V.A. and Shovkovy I.A.: 2015, Phys. Rep., 576, 1.

Okun L.B.: 1982, Leptons and Quarks (Elsevier Science Publishers B.V., Amsterdam).

Sigl G. and Leite N.: 2016, J. Cosmol. Astropart. Phys. 01 (2016) 025.

Sitenko Yu.A.: 2015, Phys. Rev. D 91, 085012.

Sitenko Yu.A.: 2016a, J. Phys. Conf. Ser. 670, 012048.

Sitenko Yu.A.: 2016b, Europhys. Lett. 114, 61001.

Sitenko Yu.A.: 2016c, Phys. Rev. D 94, 085014.

Sitenko Yu.A. and Yushchenko S.A.: 2015, Int. J. Mod. Phys. A 30, 1550184.

Son D.T. and Zhitnitsky A.R.: 2004, Phys. Rev. D 70, 074018.

Tashiro H., Vachaspati T., and Vilenkin A.: 2012, Phys. Rev. D 86, 105033

Turola R, Zane S., and Watts A.L.: 2015, Rep. Prog. Phys. 78, 116901

Vafek O. and Vishwanath A.: 2014, Annu. Rev. Condens. Matter Phys. 5,

Vilenkin A.: 1980, Phys. Rev. D 22, 3080.



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