Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium

Andrianov, Alexander A.; Andrianov, V. A.; Espriu, Domènec

doi:10.3390/particles3010002

Cited by 18 publications

(9 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The 𝜇 5 corrections to 𝑃 are parametrized by 𝜅 2 and 𝜅 𝑏 but in the chiral limit, which corresponds to the ultrarelativistic free pion gas, only the 𝜅 2 term survives. On the other hand, 𝑐 𝑠 depends only on 𝜅 𝑏 and as can be seen in [1], when we include the 𝜇 5 corrections, 𝑐 2 𝑠 remains below 1/3. The uncertainty band for 𝜅 𝑏 actually narrows as 𝑇 increases.…”

Section: Physical Consequencesmentioning

confidence: 75%

“…We provide in [1] a model-independent approach, constructing the most general effective lagrangian for the lightest degrees of freedom in the presence of the 𝜇 5 source. Preliminary ideas along this line have been proposed in [2]. In this contribution we will review the main phenomenological consequences in terms of observables such as the energy density, the pion decay constant, the pion mass, the quark condensate and the topological susceptibilities.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Studying chiral imbalance using Chiral Perturbation Theory

Vioque-Rodríguez¹,

Nicola²,

Espriu³

2021

Preprint

View full text Add to dashboard Cite

We analize the most general low-energy effective lagrangian including local parity violating terms parametrized by an axial chemical potential 𝜇 5 . This result is obtained following the external source method, up to O ( 𝑝 4 ) order in the chiral expansion for two light flavours. We show that the O ( 𝑝 4 ) lagrangian includes new terms proportional to 𝜇 2 5 and new low-energy constants. Finally, the 𝜇 5 and temperature dependences of several observables related to the vacuum energy density are studied.

show abstract

Section: Physical Consequencesmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Studying chiral imbalance using Chiral Perturbation Theory

Vioque-Rodríguez¹,

Nicola²,

Espriu³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Our purpose here is to provide a model-independent approach, aiming to construct the most general effective lagrangian for the lightest degrees of freedom in the presence of the µ 5 source. Preliminary ideas along this line have been proposed in [27]. Although this requires by definition that the applicability range is restricted to low µ 5 and low temperatures, which poses certain limits e.g.…”

Section: Jhep06(2020)062mentioning

confidence: 99%

“…Next, let us replace the choice (2.2) in the above lagrangian, namely in (4.1) and (4.2), in order to get the form of the explicit µ 5 -corrections. We obtain The method we have followed here to derive the lagrangian (4.4)-(4.8) is equivalent to that followed in [27], where only the leading LEC in the large-N c limit are considered, once the proper operator identities for µ 5 = 0 are taken into account, i.e, those we have used here and collected in appendix B.1.…”

Section: Jhep06(2020)062mentioning

confidence: 99%

Chiral perturbation theory for nonzero chiral imbalance

Espriu

Nicola

Vioque-Rodríguez

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We construct the most general low-energy effective lagrangian including local parity violating terms parametrized by an axial chemical potential or chiral imbalance µ 5 , up to O(p 4 ) order in the chiral expansion for two light flavours. For that purpose, we work within the Chiral Perturbation Theory framework where only pseudo-NGB fields are included, following the external source method. The O(p 2 ) lagrangian is only modified by constant terms, while the O(p 4 ) one includes new terms proportional to µ 2 5 and new lowenergy constants (LEC), which are renormalized and related to particular observables. In particular, we analyze the corrections to the pion dispersion relation and observables related to the vacuum energy density, namely the light quark condensate, the chiral and topological susceptibilities and the chiral charge density, providing numerical determinations of the new LEC when possible. In particular, we explore the dependence of the chiral restoration temperature T c with µ 5 . An increasing T c (µ 5 ) is consistent with our fits to lattice data of the ChPT-based expressions. Although lattice uncertainties are still large and translate into the new LEC determination, a consistent physical description of those observables emerges from our present work, providing a theoretically robust model-independent framework for further study of physical systems where parity-breaking effects may be relevant, such as heavy-ion collisions.

show abstract

“…The first, µ 5 , is usually used when isospin asymmetry of quark matter is absent, i.e. in the case µ I = 0 [54][55][56][57][58][59][60][61][62][63][64][65]. The second, µ I5 , might be taken into account when, in addition to chiral, there is also isotopic asymmetry of matter, in which charged PC phenomenon may occur, etc.…”

Section: Introductionmentioning

confidence: 99%

The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks

Khunjua

Klimenko

Zhokhov

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

In this paper the phase structure of dense baryon matter composed of u and d quarks with two colors has been investigated in the presence of baryon µ B , isospin µ I and chiral isospin µ I5 chemical potentials in the framework of Nambu-Jona-Lasinio model with quark-antiquark and quark-quark interaction channels. In the chiral limit, it has been shown in the mean-field approximation that the duality between phases with spontaneous chiral symmetry breaking and condensation of charged pions, found in the three color case, remains valid in the two color case. In addition, it has been shown that there are two more dualities in the phase diagram in two color case, namely (as in the case with µ I5 = 0), at µ I5 = 0 the general (µ, µ I , µ I5 )-phase portrait of the model has dual symmetry between the phase with condensation of charged pions and the phase with diquark condensation. This duality stays exact even in the physical point, m 0 = 0. And at m 0 = 0 the (µ, µ I , µ I5 )phase portrait becomes even more symmetrical, since dual symmetry between phases with spontaneous chiral symmetry breaking and diquark condensation appears. It is shown that due to the dualities the phase diagram is extremely symmetric and has interlacing structure. One can show that the phase portrait of two-color NJL model can be obtained just by duality properties from the results of investigations of three-color NJL model (it was noticed only after the numerical calculations have been performed). Three-color case shares only one duality of the two color one, and one can only see a facet of this enormously symmetric picture in the case of three colors. Using dualities only, it is possible to show that there are no mixed phases (phases with two non-zero condensates). This prediction of dualities is of great use, because for sure it can be shown by the direct calculations but it would be enormously more complicated and time-consuming numerically.

show abstract

Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium

Cited by 18 publications

References 42 publications

Studying chiral imbalance using Chiral Perturbation Theory

Studying chiral imbalance using Chiral Perturbation Theory

Chiral perturbation theory for nonzero chiral imbalance

The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks

Contact Info

Product

Resources

About