Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics

Abstract

Phase transitions in a non-perturbative regime can be studied by ab initio Lattice Field Theory methods. The status and future research directions for LFT investigations of Quantum Chromo-Dynamics under extreme conditions are reviewed, including properties of hadrons and of the hypothesized QCD axion as inferred from QCD topology in different phases. We discuss phase transitions in strong interactions in an extended parameter space, and the possibility of model building for Dark Matter and Electro-Weak Symmetry Breaking. Methodological challenges are addressed as well, including new developments in Artificial Intelligence geared towards the identification of different phases and transitions.

arXiv comment94 pages, 23 figures, GGI workshop "Phase Transitions in Particle Physics" review - v2: minor revisions and typo corrected, matches accepted version on PPNP

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• Nature of the phase transition for finite temperature $N_{\mathrm{f}}=3$ QCD with nonperturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=12$
• Dynamical Axions and Gravitational Waves
• On the particle spectrum and the conformal window
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• Mapping distinct phase transitions to a neural network
• Topology and axions in QCD
• Two-colour QCD phases and the topology at low temperature and high density
• Techni-dilaton at 125 GeV
• Strong dynamics, composite Higgs and the conformal window
• Machine learning determination of dynamical parameters: The Ising model case
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Quantum phase transitions in bilayer SU(N) anti-ferromagnets
• Towards glueball masses of large-$N$ $\mathrm{SU}(N)$ pure-gauge theories without topological freezing
• Topological susceptibility of $N_f=2+1$ QCD from staggered fermions spectral projectors at high temperatures
• Strong dynamics with matter in multiple representations: SU(4) gauge theory with fundamental and sextet fermions
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• MCRG Minimal Walking Technicolor
• Topological critical slowing down: variations on a toy model
• Neel order, quantum spin liquids and quantum criticality in two dimensions
• SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
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• Quantum field-theoretic machine learning
• Multicomponent compact Abelian-Higgs lattice models
• Lattice study of thermodynamic properties of dense QC${}_2$D
• Two-Color Theory with Novel Infrared Behavior
• Light nuclei production in relativistic heavy ion collisions from the AMPT model
• Neutron electric dipole moment using lattice QCD simulations at the physical point
• Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
• Lattice Study of Dense Matter with Two Colors and Four Flavors
• Lattice Radial Quantization: 3D Ising
• Phenomenology and Cosmology of an Electroweak Pseudo-Dilaton and Electroweak Baryons
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• Emergent gauge fields and the high temperature superconductors
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• Holographic Conformal Window - A Bottom Up Approach
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• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• Composite Dark Matter from Strongly-Interacting Chiral Dynamics
• Finite Temperature Lattice QCD in the Large N Limit
• The spectrum and mass anomalous dimension of SU(2) adjoint QCD with two Dirac flavours
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• Exceptional and Spinorial Conformal Windows
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• Production and polarization of $S$-wave quarkonia in potential nonrelativistic QCD
• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Baryon number and charge fluctuations from lattice QCD
• Toward an analytic determination of the deconfinement temperature in SU(2) L.G.T.
• Second order chiral phase transition in three flavor quantum chromodynamics?
• Global Structure of Conformal Theories in the SU(3) Gauge Theory
• Towards a Holographic Model of the QCD Phase Diagram
• The topological objects near the chiral crossover transition in QCD
• Inverse Renormalization Group in Quantum Field Theory
• The semi-classical approximation at high temperature revisited
• Running coupling in the conformal window of large-Nf QCD
• Topological Fluctuations in Dense Matter with Two Colors
• The Kazakov-Migdal Model as a High Temperature Lattice Gauge Theory
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• Ergodic sampling of the topological charge using the density of states
• Landau-Ginzburg-Wilson approach to critical phenomena in the presence of gauge symmetries
• Holographic models of composite Higgs in the Veneziano limit. Part II. Fermionic sector
• Conformal perturbation theory
• Particles, string and interface in the three-dimensional Ising model
• Topology via Spectral Projectors with Staggered Fermions
• Infrared fixed point of SU(2) gauge theory with six flavors
• Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
• Three-dimensional monopole-free CP(N-1) models
• Glueballs and the superfluid phase of Two-Color QCD
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• Wavelet representation of light-front quantum field theory
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Spectral and transport properties from lattice QCD
• Nonperturbative infrared finiteness in super-renormalisable scalar quantum field theory
• Free energy of the self-interacting relativistic lattice Bose gas at finite density
• Overview of external electromagnetism and rotation in lattice QCD
• QCD matter within a quasi-particle model and the critical end point
• Adding machine learning within Hamiltonians: Renormalization group transformations, symmetry breaking and restoration
• Making the most of Taylor expansion and imaginary chemical potential
• The force-force-correlator in hot QCD perturbatively and from the lattice
• Interface in presence of a wall. Results from field theory
• Conformal perturbation of off-critical correlators in the 3D Ising universality class
• Study of two color QCD on large lattices
• Topological susceptibility in finite temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Study of the theta dependence of the vacuum energy density in chiral effective Lagrangian models at zero temperature
• Charting the scaling region of the Ising universality class in two and three dimensions
• Interfacial roughening in field theory
• Decomposition of the SU(2) gauge field in the Maximal Abelian gauge
• $\theta$-dependence in the small-$N$ limit of $2d$ $C{P}^{N-1}$ models
• A comparison of spectral reconstruction methods applied to non-zero temperature NRQCD meson correlation functions
• Higgs Boson as a Dilaton
• Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
• Higher topological charge in the QCD vacuum and axion cosmology
• Spectrum of SU(2) gauge theory at large number of flavors
• Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential
• Anomaly-induced Chiral Mixing in Cold and Dense Matter
• Lattice radial quantization by cubature
• Wavelets and Lattice Field Theory
• Conformal perturbation theory confronts lattice results in the vicinity of a critical point
• The $\theta$-angle and axion physics of two-color QCD at fixed baryon charge. Part I
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks II: N_t=6 and N_t=8
• Flux tubes in $N_f=2+1$ QCD with external magnetic fields
• Universality, Lee-Yang singularities and series expansions
• Density and correlations of topological objects near the transition temperature in lattice gluodynamics

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