Inhalt

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   Abstract
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   Preface
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  1 Introduction: Lattice QCD in the strong coupling regime
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   1.1 The QCD phase diagram
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   1.2 Lattice QCD at finite temperature and baryon density
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   1.2.1 Setup: Staggered fermions and Wilson gauge action
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   1.2.2 Temperature and chemical potential on the lattice
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   1.2.3 Finite density sign problem
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   1.2.4 Lattice gauge theory in the strong coupling regime
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   1.3 The dual representation of lattice QCD
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   1.3.1 Basic idea
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   1.3.2 Link integration
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   1.3.3 Grassmann integration
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   1.3.4 Dual partition function
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   1.4 Monte Carlo methods for the dual representation
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   1.4.1 Worm algorithm
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   1.4.2 Remarks on the software development
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  2 The phase diagram in the strong coupling limit
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   2.1 Many-flavored QCD and conformality
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   2.2 Combinatorial identities
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   2.3 Anisotropic lattices
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   2.4 Thermodynamic observables and phase diagram
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   2.5 Equation of state and nuclear potential at strong coupling
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  3 Phase Diagram in the strong coupling regime, >0
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   3.1 Reweighting approach
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   3.2 Direct sampling based on plaquette occupation numbers
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   3.3 Tensor network representation
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  4 Hamiltonian formulation of strong coupling lattice QCD
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   4.1 The Euclidean continuous time limit
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   4.2 The Quantum Hamiltonian
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   4.3 Grand-canonical and canonical phase diagram
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   4.4 Meson pole masses
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  5 Summary and Outlook
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   5.1 Summary
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   5.2 Future research
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  References
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   Articles reviewed in Chapter 2
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   Articles reviewed in Chapter 3
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   Articles reviewed in Chapter 4
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   Further References
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  A Reprint of articles reviewed in Chapter 2
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   A.1 Conformality in many-flavour lattice QCD at strongcoupling deForcrand2013
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   A.2 Combinatorics of Lattice QCD at Strong Coupling Unger2014
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   A.3 Thermodynamics of strongly-coupled lattice QCD in the chiral limit deForcrand2016
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   A.4 Strong-coupling lattice QCD on anisotropic lattice deForcrand2017
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   A.5 Thermodynamics at strong coupling on anisotropic lattices Bollweg2018
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   A.6 Quark Mass Dependence of the QCD Critical End Point in the Strong Coupling Limit Kim2016
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  B Reprint of articles reviewed in Chapter 3
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   B.1 The Phase Diagram of Lattice QCD in the Strong Coupling Limit and Away from It Unger2014b
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   B.2 Lattice QCD Phase Diagram In and Away from the Strong Coupling Limit deForcrand2014
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   B.3 QCD phase diagram from the lattice at strong coupling deForcrand2015
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   B.4 Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime Gagliardi2017
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   B.5 On the - and quark mass dependence of the nuclear transition in the strong coupling regime Kim2019
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   B.6 Gauge Corrections to Strong Coupling Lattice QCD on Anisotropic Lattices Kim2020a
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   B.7 Towards a Dual Representation of Lattice QCD Gagliardi2018
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   B.8 New dual representation for staggered lattice QCD Gagliardi2019
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  C Reprint of articles reviewed in Chapter 4
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   C.1 Continuous Time Monte Carlo for Lattice QCD in the Strong Coupling Limit Unger2011b
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   C.2 Strong coupling lattice QCD in the continuous time limit Klegrewe2020
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   C.3 New algorithms and new results for strong coupling LQCD Unger2012
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   C.4 Temporal Correlators in the Continuous Time Formulation of Strong Coupling Lattice QCD Klegrewe2018