Quantum field theory for quark hadron matter

Transcription

1 Quantum field theory for quark hadron matter (Wroclaw University & JINR Dubna & MEPhI Moscow) 1. Mott dissociation of pions in a Polyakov - NJL model 2. Thermodynamics of Mott-HRG and lattice QCD data 3. Mott-Anderson localization model for chemical freeze-out National Research Nuclear University (MEPhI), Moscow, February 18, 2016

2 Mott Dissociation of Hadrons in Hadron Matter

3 Mott Dissociation of Hadrons in Hadron Matter

4 Mott Dissociation of Hadrons in Hadron Matter Possible application: parton fraction in the EoS at the hadronization transition L. Turko et al. Effective degrees of freedom in QCD, EPJ Web Conf. 71 (2014) Compare: M. Nahrgang et al. Influence of hadronicbound states above Tc, PRC 89 (2014)

5 Mott Dissociation of Mesons in Quark Matter D. Blaschke, M. Buballa, A. Dubinin, G. Roepke, D. Zablocki, Ann. Phys. 348, 228 (2014)

6 Mott Dissociation of Mesons in Quark Matter

7 Mott Dissociation of Mesons in Quark Matter

8 Mott Dissociation of Mesons in Quark Matter

9 Mott Dissociation of Mesons in Quark Matter

10 Mott Dissociation of Mesons in Quark Matter D. Blaschke, A. Dubinin, Yu. Kalinovsky, Acta Phys. Pol. Suppl. 7 (2014) XXXI. Max Born Symposium, Wroclaw (2013)

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36 Temperature T [GeV]

37 Mott Dissociation of Mesons in Quark Matter J. Huefner, S.P. Klevansky, P. Zhuang, H. Voss, Ann. Phys. 234, 225 (1994) P. Zhuang, J. Huefner, S.P. Klevansky, NPA 576, 525 (1994)

38 Mott Dissociation of Mesons in Quark Matter J. Huefner, S.P. Klevansky, P. Zhuang, H. Voss, Ann. Phys. 234, 225 (1994) P. Zhuang, J. Huefner, S.P. Klevansky, NPA 576, 525 (1994) Problem: No Quark Confinement!

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54 D.B., Agnieszka Wergieluk, Ludwik Turko

55 Agnieszka Wergieluk, Aleksandr Dubinin, Pok Man Lo,.., Larry McLerran,...

56 Mesons & Diquarks in PNJL Quark Matter

57 Mesons & Diquarks in PNJL Quark Matter Three color antitriplet diquark channels DA, A=2, 5, 7; correspondingly, chemical potentials are:

58 Mesons & Diquarks in PNJL Quark Matter D.B., A. Dubinin, M. Buballa, Phys. Rev. D 91 (2015)

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60 D.B., A. Dubinin, M. Buballa, Phys. Rev. D 91 (2015)

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63 Hadron Resonance Gas with Mott Dissociation D. Blaschke, A. Dubinin, in preparation

64 Hadron Resonance Gas with Mott Dissociation D. Blaschke, A. Dubinin, in preparation Pion channel in PNJL Effective model for in-medium hadron phase shifts Pion in effective model

65 Hadron Resonance Gas with Mott Dissociation D. Blaschke, A. Dubinin, in preparation

66 Hadron Resonance Gas with Mott Dissociation D. Blaschke, A. Dubinin, in preparation

67 Hadron Resonance Gas with Mott Dissociation D. Blaschke, A. Dubinin, in preparation

68 Mott Dissociation of Mesons and Diquarks in Quark Matter DB, M. Buballa, A. Dubinin, in preparation

69 Mott Dissociation of Hadrons in Hadron Matter in a χqm DB, A. Dubinin, in preparation: Schematic Beth-Uhlenbeck model with generic phase shifts r e v p y m i l re y r a n i

70 Mott-Anderson localization model for chemical freeze-out DB, J. Berdermann, J. Cleymans, K. Redlich, Phys. Part. Nucl. Lett. 8 (2011) 811 The basic idea: Localization of (certain) multiquark states ( cluster ) = hadronization; Reverse process = delocalization by quark exchange between hadrons Freeze-out criterion: Povh-Huefner law, PRC 46 (1992) 990 Hippe & Klevansky, PRC 52 (1995) 2172

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75 Summary Outlook

76 Solving the Puzzles of Compact Star Interiors David Blaschke (University of Wroclaw, Poland & JINR Dubna, Russia) 1. The Puzzles: - Hyperon puzzle - Reconfinement - Masquerade 2. The Solution: Baryon finite size (compositeness) Excluded volume Appr. (EVA) 3. The Mechanism: Quark Pauli Blocking 4. Outlook: - High-Mass Twins (next talk) - Supernova explosion mechanism

77 Solving the Puzzles of Compact Star Interiors David Blaschke (University of Wroclaw, Poland & JINR Dubna, Russia) 1. The Puzzles: - Hyperon puzzle - Reconfinement - Masquerade 2. The Solution: Baryon finite size (compositeness) Excluded volume Appr. (EVA) 3. The Mechanism: Quark Pauli Blocking 4. Outlook: - High-Mass Twins (next talk) - Supernova explosion mechanism

78 Solving the Puzzles of Compact Star Interiors David Blaschke (University of Wroclaw, Poland & JINR Dubna, Russia) 1. The Puzzles: - Hyperon puzzle - Reconfinement - Masquerade 2. The Solution: Baryon finite size (compositeness) Excluded volume Appr. (EVA) 3. The Mechanism: Quark Pauli Blocking 4. Outlook: - High-Mass Twins (next talk) - Supernova explosion mechanism

79 Solving the Puzzles of Compact Star Interiors David Blaschke (University of Wroclaw, Poland & JINR Dubna, Russia) 1. The Puzzles: - Hyperon puzzle - Reconfinement - Masquerade 2. The Solution: Baryon finite size (compositeness) Excluded volume Appr. (EVA) 3. The Mechanism: Quark Pauli Blocking 4. Outlook: - High-Mass Twins (next talk) - Supernova explosion mechanism

80 29 member countries!! (MP1304) New! Kick-off: Brussels, November 25, 2013

81 Strangeness in Quark Matter 2015 Dubna, July 2015 Official Logo: Website: Satellite Meetings: Summer School Dense Matter, Dubna, June 29 July 11, 2015 Roundtable Physics at NICA, Dubna, 5. July 2015

82 Cluster virial expansion for quark/nuclear matter David Blaschke (University of Wroclaw, Poland & JINR Dubna, Russia) 1. Introduction: - cluster expansion & virial corr. - nuclear matter vs. quark matter 2. Clusters in nuclear matter: - NSE = nuclear statistical equil. - Mott transition, virial corr. - F - derivable formulation? 3. Clusters in quark matter: - HRG = hadron resonance gas - Mott transition, PNJL, virial c. 4. Outlook: - unified quark-nuclear matter - supernova explosion modeling?

83 Introduction: Cluster expansion and virial corrections Nuclear Matter: Quark matter: Low density: Low density: n = nfree + ΣA na + ncorr n = nfree+ Σ nm,b + ncorr High density: High density: n = nfree + ΣA na + ncorr n = nfree + Σ nm,b + ncorr

84 Clusters in nuclear matter: different concepts

85 Clusters in nuclear matter: different concepts

86 Strategy: successive improvement

87 Thermodynamical relationships

88 Nuclear statistical equilibrium (NSE)

89 Nuclear statistical equilibrium (NSE)

90 Nuclear statistical equilibrium (NSE)

91 Nuclear statistical equilibrium (NSE)

92 Virial Equation of State (VEoS)

93 Virial Equation of State (VEoS)

94 Virial Equation of State (VEoS)

95 Virial Equation of State (VEoS)

96 Virial Equation of State (VEoS)

97 Generalized Beth-Uhlenbeck Approach

98 Generalized Beth-Uhlenbeck Approach

99 Generalized Beth-Uhlenbeck Approach

100 Generalized Beth-Uhlenbeck Approach

101 Generalized Beth-Uhlenbeck Approach

102 Generalized Beth-Uhlenbeck Approach

103 Generalized Relativistic Density Functional

104 Generalized Relativistic Density Functional

105 Generalized Relativistic Density Functional

106 Generalized Relativistic Density Functional

107 Formation and Dissociation of Clusters

108 Formation and Dissociation of Clusters

109 Formation and Dissociation of Clusters

110 Formation and Dissociation of Clusters

111 Formation and Dissociation of Clusters

112 Formation and Dissociation of Clusters

113 Thermodynamical Properties

114 Thermodynamical Properties

115 Thermodynamical Properties

116 Thermodynamical Properties

117 Thermodynamical Properties

118 Thermodynamical Properties

119 Thermodynamical Properties

120 Thermodynamical Properties

121 Thermodynamical Properties

122 Thermodynamical Properties

123 Symmetry Energy

124 Symmetry Energy

125 Symmetry Energy

126 Symmetry Energy

127 Symmetry Energy

128 Symmetry Energy

129 Symmetry Energy

130 Summary so far

131 Quantum Statistics & Cluster Virial Expansion

132 Quantum Statistics & Cluster Virial Expansion

133 Quantum Statistics & Cluster Virial Expansion

134 Quantum Statistics & Cluster Virial Expansion

135 Quantum Statistics & Cluster Virial Expansion

136 Quantum Statistics & Cluster Virial Expansion

137 Quantum Statistics & Cluster Virial Expansion

138 Φ-derivable formulation of cluster virial expansions

139 Φ-derivable formulation of cluster virial expansions

140 Φ-derivable formulation of cluster virial expansions

141 Φ-derivable formulation of cluster virial expansions

142 Φ-derivable formulation of cluster virial expansions

143 Φ-derivable formulation of cluster virial expansions More to come

144 Mott Dissociation of Nucleons as Quark Clusters

145 Mott Dissociation of Nucleons as Quark Clusters

146 Mott Dissociation of Nucleons as Quark Clusters

147 Mott Dissociation of Nucleons as Quark Clusters

148 Mott Dissociation of Nucleons as Quark Clusters

149 Mott Dissociation of Nucleons as Quark Clusters

150 Mott Dissociation of Nucleons as Quark Clusters

151 Mott Dissociation of Nucleons as Quark Clusters