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SUMMARY:Vector mesons spectrum in a medium with a chiral imbalance induced
  by the vacuum of fermions
DTSTART;VALUE=DATE-TIME:20201006T080000Z
DTEND;VALUE=DATE-TIME:20201006T081500Z
DTSTAMP;VALUE=DATE-TIME:20260515T135052Z
UID:indico-contribution-2163@cern.ch
DESCRIPTION:Speakers: Vladimir Kovalenko (Saint Petersburg State Universit
 y)\nThe chiral imbalance defined as a difference between the numbers of RH
  and LH quarks may occur in the fireball after a heavy-ion collision at hi
 gh energy. It can lead to the formation of a local parity breaking LPB in 
 a quark-hadron medium and adiabatically characterized by a topological cha
 rge and\, accordingly\, a topological (chiral) chemical potential $\\mu_5$
 . In the field theory\, it can be considered as a time-like axial-vector $
 b_\\mu$ coupled to a fermion field with its zero component associated with
  $\\mu_5$. The consistent way for the construction of the Lagrangian in th
 e presence of constant axial-vector background has been obtained in [1\, 2
 ] for QED theory.\n\nIn this report\, for the description of the propertie
 s of light vector mesons in the presence of LPB in a fireball\, the vector
 -meson dominance model is applied in the lightest SU(2) sector. Employing 
 the approach\, developed in [1\, 2]\, to the vector $\\rho$ and $\\omega$ 
 mesons\, we obtain the mass spectrum as a function of momentum and chiral 
 chemical potential $\\mu_5$. We show that in addition to the Chern–Simon
 s term [3]\, splitting the transverse polarisations of the mesons\, there 
 is an additional contribution that becomes important at momentum and $\\mu
 _5$ around a few hundred MeV.\n\n\nReferences:\n\n[1] J. Alfaro\, A. Andri
 anov\, M. Cambiaso\, P. Giacconi and R. Soldati\, Phys. Lett. B 639\, 586-
 590 (2006)\, arXiv:hep-th/0604164 [hep-th].\n\n[2] J. Alfaro\, A. Andriano
 v\, M. Cambiaso\, P. Giacconi and R. Soldati\, Int. J. Mod. Phys. A 25\, 3
 271-3306 (2010)\, arXiv:0904.3557 [hep-th].\n\n[3] A. Andrianov\, V. Andri
 anov\, D. Espriu and X. Planells\, Phys. Lett. B 710\, 230-235 (2012)\, ar
 Xiv:1201.3485 [hep-ph].\n\nhttps://indico.particle.mephi.ru/event/35/contr
 ibutions/2163/
LOCATION:Zoom HEP Theory
URL:https://indico.particle.mephi.ru/event/35/contributions/2163/
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