Universal Aspects of QCD-like Theories

Abstract

In these lectures I review some basic examples of how the concepts of universality and scaling can be used to study aspects of the chiral and the deconfinement transition, if not in QCD directly but in QCD-like theories. As an example for flavor dynamics I discuss a quark-hadron model to describe the phase diagram of two-color QCD with the functional renormalization group. Universal aspects of deconfinement are illustrated mainly in the 2+1 dimensional SU(N) gauge theories with second order transition where many exact results from spin models can be exploited.

42 pages, 25 figures, for "Physics at all scales: The Renormalization Group," the 49th Schladming Winter School on Theoretical Physics

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• Exact evolution equation for the effective potential
• Critical Phenomena and Renormalization-Group Theory
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Color superconductivity in dense quark matter
• Diquark Bose Condensates in High Density Matter and Instantons
• Aspects of the Functional Renormalisation Group
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Recent Progress in Quantum Hadrodynamics
• Optimised Renormalisation Group Flows
• Phases of Dense Quarks at Large N_c
• The Phase Structure of the Polyakov--Quark-Meson Model
• Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
• Thermal hadron production in relativistic nuclear collisions: the hadron mass spectrum, the horn, and the QCD phase transition
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Quark Confinement from Color Confinement
• QCD-like Theories at Finite Baryon Density
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Lectures on the functional renormalization group method
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• The Phase Diagram of the Quark-Meson Model
• Functional integrals for QCD at nonzero chemical potential and zero density
• On two-color QCD with baryon chemical potential
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Critical exponents from optimised renormalisation group flows
• Color-Neutral Superconducting Quark Matter
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• QCD-like Theories at Finite Baryon and Isospin Density
• On the magnetic equation of state in (2+1)-flavor QCD
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Numerical Study of Dense Adjoint Matter in Two Color QCD
• Symmetries and spectrum of SU(2) Lattice Gauge Theory at finite chemical potential
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Gapless color superconductivity at zero and at finite temperature
• Renormalization Group Approach towards the QCD Phase Diagram
• Deconfinement in dense 2-color QCD
• Baryons and the phase diagram for a large number of colors and flavors
• Quark-meson-diquark model for two-color QCD
• A study of the 't Hooft loop in SU(2) Yang-Mills theory
• Two flavor chiral phase transition from nonperturbative flow equations
• Thermodynamics of two-colour QCD and the Nambu Jona-Lasinio model
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• A Quarkyonic Phase in Dense Two Color Matter?
• Prelude to Compressed Baryonic Matter
• Renormalization Group Flow and Equation of State of Quarks and Mesons
• Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
• On the Ambiguity of Spontaneously Broken Gauge Symmetry
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Renormalization Group Flow Equations and the Phase Transition in O(N)-models
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Singular values of the Dirac operator in dense QCD-like theories
• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• 't Hooft Loops, Electric Flux Sectors and Confinement in SU(2) Yang-Mills Theory
• Phase diagram of two-color quark matter at nonzero baryon and isospin density
• Linking the Quark Meson Model with QCD at High Temperature
• Functional renormalization group approach to the BCS-BEC crossover
• Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• Chiral random matrix theory for two-color QCD at high density
• Phase-diagram of two-color lattice QCD in the chiral limit
• The Functional Renormalization Group and O(4) scaling
• Bound states and glueballs in three-dimensional Ising systems
• The phase diagram of a gauge theory with fermionic baryons
• Lattice Study of Dense Matter with Two Colors and Four Flavors
• Inverse Monte-Carlo determination of effective lattice models for SU(3) Yang-Mills theory at finite temperature
• The deconfining phase transition in D=2+1 SU(N) gauge theories
• Confinement in Polyakov Gauge
• QCD-like theories at nonzero temperature and density
• Phase Structure of Z(3)-Polyakov-Loop Models
• Effective Actions for the SU(2) Confinement-Deconfinement Phase Transition
• Deconfinement transition in 2+1-dimensional SU(4) lattice gauge theory
• Finite-size scaling of interface free energies in the 3d Ising model
• A Study of Finite Temperature Gauge Theory in (2+1) Dimensions
• On the chiral perturbation theory for two-flavor two-color QCD at finite chemical potential
• Revisiting the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensions
• Critical behaviour and scaling functions of the three-dimensional O(6) model
• Masses of vector bosons in two-color dense QCD based on the hidden local symmetry
• Two-color QCD in 3D at finite baryon density
• Lattice simulations of 2-colour QCD with Wilson fermions
• 't Hooft loops and consistent order parameters for confinement
• SU(2) lattice gauge theory in 2+1 dimensions: critical couplings from twisted boundary conditions and universality
• Standard Model with the additional $Z_6$ symmetry on the lattice
• Electric and Magnetic Fluxes in SU(2) Yang-Mills Theory
• Study of the Finite Density State based on SU(2) Lattice QCD
• 't Hooft-Polyakov monopoles in lattice SU(N)+adjoint Higgs theory
• Universal Aspects of Deconfinement in 2+1 Dimensions
• Chiral transition temperature and aspects of deconfinement in 2+1 flavor QCD with the HISQ/tree action
• Functional renormalization for the BCS-BEC crossover
• Are magnetic monopoles hadrons?
• Transport Properties of Strong-Interaction Matter
• SU(3) Deconfinement in (2+1)d from Twisted Boundary Conditions and Self-Duality

Cited by in corpus (51)

• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• QCD phase diagram for nonzero isospin-asymmetry
• Confinement from Correlation Functions
• On the phase structure and thermodynamics of QCD
• Improved Polyakov-loop potential for effective models from functional calculations
• Thermodynamics of QCD at vanishing density
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Higher order quark-mesonic scattering processes and the phase structure of QCD
• The Vacuum Structure of Vector Mesons in QCD
• In-Medium Spectral Functions of Vector- and Axial-Vector Mesons from the Functional Renormalization Group
• Non-perturbative finite-temperature Yang-Mills theory
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• On the relevance of matter and glue dynamics for baryon number fluctuations
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Polyakov-Quark-Meson-Diquark Model for two-color QCD
• Finite temperature spectral functions in the O(N)-model
• Dark Matter from Strong Dynamics: The Minimal Theory of Dark Baryons
• Phase structure of spin-imbalanced unitary Fermi gases
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• BEC-BCS crossover in a cold and magnetized two color NJL model
• The phase diagram of a gauge theory with fermionic baryons
• Finite-density gauge correlation functions in QC2D
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Low-energy effective description of dark $Sp(4)$ theories
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• Dense two-color QCD from Dyson-Schwinger equations
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• BCS-BEC crossover in relativistic Fermi systems
• Tan contact and universal high momentum behavior of the fermion propagator in the BCS-BEC crossover
• Dynamical generation of low-energy couplings from quark-meson fluctuations
• Sarma phase in relativistic and non-relativistic systems
• Stressed Cooper pairing in QCD at high isospin density: effective Lagrangian and random matrix theory
• Baryon number probability distribution at finite temperature
• Banks-Casher-type relation for the BCS gap at high density
• Baryonic Matter Onset in Two-Color QCD with Heavy Quarks
• Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• Renormalization of the 4PI effective action using the functional renormalization group
• Confronting effective models for deconfinement in dense quark matter with lattice data
• Constructing a neutron star in G2-QCD
• Center phase transition from matter propagators in (scalar) QCD
• Quarks and Triality in a Finite Volume
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Topological order and the vacuum of Yang-Mills theories
• Colored-hadron distribution in hadron scattering in SU(2) lattice QCD
• Dark matter from one-flavor SU(2) gauge theory
• Fractional Charge and Confinement of Quarks
• Thermal quarks and Polyakov loops in two-color dense QCD
• Model studies of the chiral and deconfinement transitions in QCD