Critical surface of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mi>L</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mi>R</mml:mi></mml:msub></mml:math>chiral quark model at nonzero baryon density

Kovács, P.; Szép, Zsolt

doi:10.1103/physrevd.75.025015

Cited by 61 publications

(70 citation statements)

References 38 publications

(66 reference statements)

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“…Since we have quark degrees of freedom, we can couple the model to a baryon chemical potential µ B and study finite-density effects. The QM model has been used to study various aspects of the chiral transition at µ B = 0 [3][4][5][6][7] and µ B = 0 [8][9][10]. Schwinger-Dyson equations were used in [12].…”

Section: Introductionmentioning

confidence: 99%

Chiral transition in a magnetic field and at finite baryon density

Andersen

Khan

2012

Phys. Rev. D

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We consider the quark-meson model with two quark flavors in a constant external magnetic field B at finite temperature T and finite baryon chemical potential µB. We calculate the full renormalized effective potential to one-loop order in perturbation theory. We study the system in the largeNc limit, where we treat the bosonic modes at tree level. It is shown that the system exhibits dynamical chiral symmetry breaking, i. e. that an arbitrarily weak magnetic field breaks chiral symmetry dynamically, in agreement with earlier calculations using the NJL model. We study the influence on the phase transition of the fermionic vacuum fluctuations. For strong magnetic fields, |qB| ∼ 5m 2 π and in the chiral limit, the transition is first order in the entire µB − T plane if vacuum fluctuations are not included and second order if they are included. At the physical point, the transition is a crossover for µB = 0 with and without vacuum fluctuations.

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Section: Introductionmentioning

confidence: 99%

Chiral transition in a magnetic field and at finite baryon density

Andersen

Khan

2012

Phys. Rev. D

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“…The spontaneous symmetry breaking generates in η N − f 1N , − → π − − → a 1 [7], η S − f 1S , K S − K * , and K − K 1 mixing terms [11]:…”

Section: )mentioning

confidence: 99%

“…[5,6,7,8,9,10,11,12,13,14,15] for non-strange hadrons (N f = 2), and Refs. [15,16,17] for strange hadrons (N f = 3).…”

Section: Introductionmentioning

confidence: 99%

Masses of light and heavy mesons in a U(4)r ×U(4)l linear sigma model

Eshraim¹

2014

Proceedings of From Quarks and Gluons to Hadronic Matter: A Bridge Too Far? — PoS(QCD-TNT-III)

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“…Using the SU (2) L × SU (2) R linear sigma model an interesting phase structure with two CEPs in the µ q − T plane was reported for low values of the pion mass in [19]. Considering three flavors, one can study in these models the properties of the chiral critical surface [20][21][22][23][24][25]. In [20][21][22] the authors used the U (3) L × U (3) R chiral sigma model near the physical point, and found that in the available parameter space the critical surface bends upwards, supporting the direct MC result.…”

Section: Introductionmentioning

confidence: 99%

Strange mass dependence of the tricritical point in theU(3)L×U(3)Rchiral sigma model

Jakovác¹,

Szép

2010

Phys. Rev. D

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We study the strange quark mass dependence of the tricritical point of the U (3)L × U (3)R linear sigma model in the chiral limit. Assuming that the tricritical point is at a large strange mass value, the strange sector as well as the η − a0 sector decouples from the light degrees of freedom which determines the thermodynamics. By tracing this decoupling we arrive from the original U (3)L × U (3)R symmetric model, going through the U (2)L × U (2)R symmetric one, at the SU (2)L × SU (2)R linear sigma model. One-loop level beta functions for the running of the parameters in each of these models and tree-level matching of the coupling of these models performed at intermediate scales are used to determine the influence of the heavy sector on the parameters of the SU (2)L ×SU (2)R linear sigma model. By investigating the thermodynamics of this latter model we identified the tricritical surface of the U (3)L × U (3)R linear sigma model in the chiral limit. To apply the results for QCD we used different scenarios for the ms and µq dependence of the effective model parameters, then the µ TCP q (ms) function can be determined. Depending on the details, a curve bending upwards or downwards near µq = 0 can be obtained, while with explicit chemical potential dependence of the parameters the direction of the curve can change with ms, too.

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Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density

Cited by 61 publications

References 38 publications

Chiral transition in a magnetic field and at finite baryon density

Chiral transition in a magnetic field and at finite baryon density

Masses of light and heavy mesons in a U(4)r ×U(4)l linear sigma model

Strange mass dependence of the tricritical point in theU(3)L×U(3)Rchiral sigma model

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