Vector Spectrum and Color Screening in Two Color QCD at Nonzero T and Μ

Allés, B.; D’Elia, Massimo; Lombardo, Maria-Paola

doi:10.1142/9789812776532_0024

Cited by 8 publications

(8 citation statements)

References 12 publications

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“…If one applies our results to 2 color Quantum Chromo Dynamics (QCD) at non zero baryon chemical potential one predicts that the vectors made out of two quarks (in the 2 color theory the baryonic degrees of freedom are bosons) condense. Recently lattice studies for 2 color at high baryonic potential [13] seem to support our predictions. This is the relativistic vectorial Bose-Einstein condensation phenomenon.…”

Section: Introductionsupporting

confidence: 79%

“…For example in the framework of 2 color QCD at high baryon chemical potential vector condensation has been predicted in [11,12]. Recent lattice studies [13] seem to support it. The present analysis while reinforcing the scenario of vector condensation shows that we can have many different types of condensations with very distinct signatures.…”

Section: Physical Applications and Conclusionmentioning

confidence: 92%

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General structure of relativistic vector condensation

Sannino

2003

Phys. Rev. D

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We study relativistic massive vector condensation due to a non zero chemical potential associated to some of the global conserved charges of the theory. We show that the phase structure is very rich. More specifically there are three distinct phases depending on the value of one of the zero chemical potential vector self interaction terms. We also develop a formalism which enables us to investigate the vacuum structure and dispersion relations in the spontaneously broken phase of the theory. We show that in a certain limit of the couplings and for large chemical potential the theory is not stable. This limit, interestingly, corresponds to a gauge type limit often employed to economically describe the ordinary vector mesons self interactions in QCD. We finally indicate for which physical systems our analysis is relevant.

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Section: Introductionsupporting

confidence: 79%

Section: Physical Applications and Conclusionmentioning

confidence: 92%

General structure of relativistic vector condensation

Sannino

2003

Phys. Rev. D

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“…If one applies our results to 2 color Quantum Chromo Dynamics (QCD) at non zero baryon chemical potential one predicts that the vectors made out of two quarks (in the 2 color theory the baryonic degrees of freedom are bosons) condense. Recently lattice studies for 2 color at high baryonic potential [18] seem to support our predictions. This is the relativistic vectorial Bose-Einstein condensation phenomenon.…”

Section: Introductionsupporting

confidence: 79%

“…For example in the framework of 2 color QCD at non zero baryon chemical potential [25,26] vector condensation has been predicted in [17,16]. Recent lattice studies [18] seem to support it. Studies [27] of the Gross-Neveu model in 2+1 dimensions with a baryon chemical potential might also shed light on the vector meson channel.…”

Section: Physical Applications and Conclusionmentioning

confidence: 99%

Review of Vector Condensation at High Chemical Potential

Sannino¹

2003

AIP Conference Proceedings

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Abstract. Here I review vectorial type condensation due to a non zero chemical potential associated to some of the global conserved charges of the theory. The phase structure is very rich since three distinct phases exists depending on the value assumed by one of the zero chemical potential vector self interaction terms. In a certain limit of the couplings and for large chemical potential the theory is not stable. This limit corresponds to a gauge type limit often employed to economically describe the ordinary vector mesons self interactions in QCD. Our analysis is relevant since it leads to a number of physical applications not limited to strongly interacting theories at non zero chemical potential.

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“…Other approaches to two-colour QCD have also been explored, based for example on a random matrix model [19,20] and on the renormalization group [21]. Several of these model calculations have been verified by lattice simulations [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of two-color QCD and the Nambu Jona-Lasinio model

2004

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We investigate two-flavour and two-colour QCD at finite temperature and chemical potential in comparison with a corresponding Nambu and JonaLasinio model. By minimizing the thermodynamic potential of the system, we confirm that a second order phase transition occurs at a value of the chemical potential equal to half the mass of the chiral Goldstone mode. For chemical potentials beyond this value the scalar diquarks undergo Bose condensation and the diquark condensate is nonzero. We evaluate the behaviour of the chiral condensate, the diquark condensate, the baryon charge density and the masses of scalar diquark, antidiquark and pion, as functions of the chemical potential. Very good agreement is found with lattice QCD (N c = 2) results. We also compare with a model based on leading-order chiral effective field theory.

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Vector Spectrum and Color Screening in Two Color QCD at Nonzero T and Μ

Cited by 8 publications

References 12 publications

General structure of relativistic vector condensation

General structure of relativistic vector condensation

Review of Vector Condensation at High Chemical Potential

Thermodynamics of two-color QCD and the Nambu Jona-Lasinio model

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