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Oleg Teryaev BLTP, JINR. Chiral magnetic effect for heavy and strange quarks Physics at NICA ( iVth roundtable workshop) Dubna , JINR, September 9, 2009. Outline. Strange quarks as heavy ones: Vacuum and (multiscale) hadrons Axial anomaly and Heavy quarks polarization in nucleon

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oleg teryaev bltp jinr
Oleg Teryaev


Chiral magnetic effect for heavy and strange quarksPhysics at NICA(iVth roundtable workshop)Dubna, JINR, September 9, 2009
  • Strange quarks as heavy ones: Vacuum and (multiscale) hadrons
  • Axial anomaly and Heavy quarks polarization in nucleon
  • Chiral magnetic effect for strangeness in Heavy Ions collisions
  • Transition to massless quarks
  • Local C, P and CP violation: signals in decays
  • Conclusions
can s really be heavy
Can s REALLY be heavy?!

In nucleon (no valence “heavy” quarks) rather than in vacuum - may be considered heavy in comparison to small genuine higher twist – multiscale nucleon picture

In vacuum Strange quark mass close to matching scale of heavy and light quarks – relation between quark and gluon vacuum condensates (cancellation of classical and quantum symmetry breaking – for trace anomaly).

The same – for axial anomaly

cancellation of explicit and anomalous symmetry breaking for massive quarks
Cancellation of explicit and anomalous symmetry breaking for Massive quarks
  • One way of calculation – finite limit of regulator fermion contribution (to TRIANGLE diagram) in the infinite mass limit
  • The same (up to a sign) as contribution of REAL quarks
  • For HEAVY quarks – cancellation!
  • Anomaly – violates classical symmetry for massless quarks but restores it for heavy quarks
heavy quarks polarisation
Heavy quarks polarisation

Non-complete cancellation of mass and anomaly terms (97)

Gluons correlation with nucleon spin – twist 4 operator NOT directly related to twist 2 gluons helicity BUT related by QCD EOM to singlet twist 4 correction (colour polarisability) f2 to g1

“Anomaly mediated” polarisation of heavy quarks


Small (intrinsic) charm polarisation

Consider STRANGE as heavy! – CURRENT strange mass squared is ~100 times smaller – -5% - reasonable compatibility to the data! (But problem with DIS and SIDIS)

Current data on f2 – somewhat larger

comparison gluon anomaly for massless and massive quarks
Comparison : Gluon Anomaly for massless and massive quarks
  • Mass independent
  • Massless (Efremov, OT ’88) – naturally (but NOT uniquely) interpreted as (on-shell) gluon circular polarization
  • Small gluon polarization – no anomaly?!
  • Massive quarks – acquire “anomaly polarization”
  • May be interpreted as a kind of circular polarization of OFF-SHELL (CS projection -> GI) gluons
  • Very small numerically
  • Small strange mass – partially compensates this smallness and leads to % effect
charm strangeness universality
Charm/Strangeness universality
  • Universal behaviour of heavy quarks distributions - from non-local (C-even) operators
  • c(x)/s(x) = (ms /mc)2 ~ 0.01
  • Delta c(x)/Delta s(x)= (ms /mc)2 ~ 0.01
  • Delta c(x)/c(x) = Delta s(x)/s(x)
  • Experimental tests – comparison of strange/charmed hadrons asymmetries
heavy unpolarized strangeness vector current
Heavy unpolarized Strangeness: vector current
  • Follows from Heisenberg-Euler effective lagrangian (confirmed: A. Moiseeva, M. Polyakov, Y. Silverding)
  • FFFF -> (Color = combinatoric) FGGG -> Describes strangeness contribution to nucleon magnetic moment and pion mean square radius
  • FFFF->FFGG -> perturbative description of chiral magnetic effect for heavy (strange) quarks in Heavy Ion collisions – induced current of strange quarks
chiral magnetic effect for heavy strange quarks
Chiral magnetic effect for (heavy) strange quarks
  • Effective Lagrangian
  • Current and charge density from c-term

(multiscale medium!)

  • Light quarks -> matching with D. Kharzeev et al’ -> correlation of density of electric charge with a gradient of topological one (Lattice ?)
properties of perturbative charge separation
Properties of perturbative charge separation
  • Current carriers are obvious - strange quarks -> matching -> light quarks?
  • NO obvious relation to chirality – contribution to axial current starts from pentagon diagram
  • Effect for strange quarks is of the same order as for the light ones if topological charge is localized on the distances ~ 1/ms , strongly (4th power!) depends on the numerical factor
  • Universality of strange and charm quarks separation - charm separation suppressed as (ms /mc)4 ~ 0.0001 (But charm production is also suppressed – relative may be comparable at moderate energies – NICA?)
other signals for local symmetry violations
Other signals for local symmetry violations?
  • Some other signals (CP-violating decays?? – question of V.I. Zakharov)
  • Topological charge: P-Violated, C-conserved; not sufficient for forbidden K decays
  • Other possibility – C - violating decays due to chemical potential
forbidden decays in vacuum allowed in medium
Forbidden decays in vacuum – allowed in medium
  • C-violation -> (Weldon ’92)
  • (OT’96; Radzhabov, Volkov, Yudichev ’05,06 - NJL)
  • However: Short time of medium existence – EM part should be outside!)
relating forbidden and allowed decays
Relating forbidden and allowed decays
  • In the case of complete mass degeneracy (OT’05, unpublished):
  • Tests and corrections – Bannikov,OT, in progress
  • Strange quarks may be considered as heavy sometimes
  • Chiral magnetic effect for stange quarks – straightforward modification of Heisenberg-Euler lagrangian
  • Strange-light transition; strange mass against topological charge correlation length
  • Multiscale hadron/medium
  • Local C-violation in medium – decays forbidden in vacuum with predictable ratios