Analysis of dilepton angular distributions in a parity breaking medium

Andrianov, Alexander A.; Andrianov, V. A.; Espriu, D.; Planells, Xumeu

doi:10.1103/physrevd.90.034024

Cited by 25 publications

(31 citation statements)

References 58 publications

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“…We therefore conclude that in the strongcoupling phase the CME current is saturated by vectorlike bound states (ρ-mesons in QCD terminology) with mixed transverse polarizations and a small admixture of pseudo-vector states of both transverse polarizations. A similar picture of meson mixing has been recently addressed also in QCD effective models [40]. In this work it was also pointed out that the mixing between the transverse components of vector mesons can be encoded in the Chern-Simons term in the effective action for the vector mesons.…”

Section: Chiral Magnetic Effect In the Linear Response Approximationmentioning

confidence: 70%

“…After such rearrangement of summands the sum in (39) looks similarly to the free energy of massless Dirac fermions without any chemical potentials, however, now the tip of the Dirac cone is effectively chopped off at the level ǫ = µ A (see Fig. 6 for an illustration).…”

Section: Vacuum Energy In the Presence Of Chiral Chemical Potentialmentioning

confidence: 99%

“…The term µ A Q A in the single-particle Dirac Hamiltonian shifts the energies of left-and right-handed Weyl nodes to ±µ A . We note that while chiral symmetry breaking for Weyl semimetals with spatial momentum separation between the Weyl nodes (which corresponds to the term b iψ γ i γ 5 ψ) have been studied in details [30][31][32][33], to our knowledge the case of energy separation between Weyl nodes has been previously considered only in the context of effective QCD models [34][35][36][37][38][39][40]. In contrast to these works, here we will explore possible fermionic condensates more systematically, in particular taking into account the renormalization of the chiral chemical potential.…”

Section: Introductionmentioning

confidence: 99%

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Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

Buividovich

2014

Phys. Rev. D

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We report on a mean-field study of spontaneous breaking of chiral symmetry for Dirac fermions with contact interactions in the presence of chiral imbalance, which is modelled by nonzero chiral chemical potential. We point out that chiral imbalance lowers the vacuum energy of Dirac fermions, which leads to the increase of the renormalized chiral chemical potential upon chiral symmetry breaking. The critical coupling strength for the transition to the broken phase is slightly lowered as the chiral chemical potential is increased, and the transition itself becomes milder. Furthermore, we study the chiral magnetic conductivity in different phases and find that it grows both in the perturbative weak-coupling regime and in the strongly coupled phase with broken chiral symmetry. In the strong coupling regime the chiral magnetic effect is saturated by vector-like bound states (vector mesons) with mixed transverse polarizations. General pattern of meson mixing in the presence of chiral imbalance is also considered. We discuss the relevance of our study for Weyl semimetals and strongly interacting QCD matter. Finally, we comment on the ambiguity of the regularization of the vacuum energy of Dirac fermions in the presence of chirality imbalance.

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Section: Chiral Magnetic Effect In the Linear Response Approximationmentioning

confidence: 70%

Section: Vacuum Energy In the Presence Of Chiral Chemical Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

Buividovich

2014

Phys. Rev. D

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“…The position of resonance poles for transverse polarizations of ρ 0 , ω mesons is shifted with the wave vector | k| and also a resonance broadening occurs that leads to an increased contribution of the dilepton production compared with the situation with resonances in vacuum (for details, see [16]). Then, the question arises.…”

Section: Effective Meson Theories In Search Of Lpbmentioning

confidence: 99%

QCD with Chiral Chemical Potential: Models Versus Lattice

Andrianov¹,

Andrianov²,

Espriu³

2016

Acta Phys. Pol. B Proc. Suppl.

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An emergence of local spatial parity breaking (LPB) in central heavyion collisions (HIC) at high energies is discussed. The QCD phenomenology of LPB in the fireball is induced by a difference between the number densities of right-and left-handed chiral fermions which is triggered by a chiral (axial) chemical potential. For the description of peculiarities of LPB, a number of QCD-inspired models are considered and confronted to certain lattice results. In particular, from the meson effective Lagrangian, it is found that the lightest states may become massless and some scalars turn out to be stable. In experimental studies, the asymmetry in production of longitudinal and transverse polarized states of ρ and ω mesons for different values of the invariant mass can serve as a characteristic indication of local spatial parity breaking which can be derived from an abnormal yield of dilepton pairs in the PHENIX, STAR and ALICE collaborations.

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“…In [32] it was suggested to detect a splitting of dilepton polarizations averaged over angular sectors. There are two convenient choices of this splitting.…”

Section: Polarization Asymmetry: Dilepton Angular Distributionsmentioning

confidence: 99%

QCD with Chiral Imbalance: models vs. lattice

Andrianov

Espriu

2017

EPJ Web Conf.

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Abstract. In heavy ion collisions (HIC) at high energies there may appear new phases of matter which must be described by QCD. These phases may have different color and flavour symmetries associated with the constituents involved in collisions as well as various space-time symmetries of hadron matter. Properties of the QCD medium in such a matter can be approximately described, in particular, by a number of right-handed (RH) and left-handed (LH) light quarks. The chiral imbalance (ChI) is characterized by the difference between the numbers of RH and LH quarks and supposedly occurs in the fireball after HIC. Accordingly we have to introduce a quark chiral (axial) chemical potential which simulates a ChI emerging in such a phase. In this report we discuss the possibility of a phase with Local spatial Parity Breaking (LPB) in such an environment and outline conceivable signatures for the registration of LPB as well as the appearance of new states in the spectra of scalar, pseudoscalar and vector particles as a consequence of local ChI. The comparison of the results obtained in the effective QCD-motivated models with lattice data is also performed.

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Analysis of dilepton angular distributions in a parity breaking medium

Cited by 25 publications

References 58 publications

Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

QCD with Chiral Chemical Potential: Models Versus Lattice

QCD with Chiral Imbalance: models vs. lattice

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