Confining ensemble of dyons

Abstract

We construct the integration measure over the moduli space of an arbitrary number of N kinds of dyons of the pure SU(N) gauge theory at finite temperatures. The ensemble of dyons governed by the measure is mathematically described by a (supersymmetric) quantum field theory that is exactly solvable and is remarkable for a number of striking features: 1) The free energy has the minimum corresponding to the zero average Polyakov line, as expected in the confining phase; 2)The correlation function of two Polyakov lines exhibits a linear potential between static quarks in any N-ality non-zero representation, with a calculable string tension roughly independent of temperature; 3) The average spatial Wilson loop falls off exponentially with its area and the same string tension; 4) At a critical temperature the ensemble of dyons rearranges and de-confines; 5)The estimated ratio of the critical temperature to the square root of the string tension is in excellent agreement with the lattice data.

26 pp. Construction of general N-ality = k strings added. The title changed

References in corpus (26)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Instantons at work
• Dynamics of $SU(N)$ Supersymmetric Gauge Theory
• Monopole Constituents inside SU(n) Calorons
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• The high temperature phase transition in SU(N) gauge theories
• Properties of the deconfining phase transition in SU(N) gauge theories
• Confinement and Strings in MQCD
• Monopoles and Instantons on Partially Compactified D-Branes
• Exact T-duality between Calorons and Taub-NUT spaces
• The Moduli Space Metric for Well Separated BPS Monoples
• Quantum weights of dyons and of instantons with non-trivial holonomy
• The Moduli Space of Many BPS Monopoles for Arbitrary Gauge Groups
• Spectrum of confining strings in SU(N) gauge theories
• An SU(2) KvBLL caloron gas model and confinement
• Higher charge calorons with non-trivial holonomy
• Gauge invariant effective action for the Polyakov line in the SU(N) Yang--Mills theory at high temperatures
• SU(N) caloron measure and its relation to instantons
• Instantons, Monopoles and Toric HyperKaehler Manifolds
• Spontaneous breaking of color in N=1 Super Yang-Mills theory without matter
• Application of the Large-N_c limit to a Chiral Lagrangian with Resonances
• $k$ Strings from Various Perspectives: QCD, Lattices, String Theory and Toy Models
• Improved superposition schemes for approximate multi-caloron configurations

Cited by in corpus (69)

• Physics of Strongly coupled Quark-Gluon Plasma
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Azimuthal correlations from transverse momentum conservation and possible local parity violation
• Index theorem for topological excitations on R^3 * S^1 and Chern-Simons theory
• Effective matrix model for deconfinement in pure gauge theories
• Topology and confinement
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II
• Electric Flux Tube in Magnetic Plasma
• Confinement from Center Vortices: A review of old and new results
• 2d affine XY-spin model/ 4d gauge theory duality and deconfinement
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• Double-winding Wilson loops and monopole confinement mechanisms
• Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• The dyonic picture of topological objects in the deconfined phase
• Collisional energy loss above the critical temperature in QCD
• On Classification of QCD defects via holography
• Instanton Partons in 5-dim SU(N) Gauge Theory
• Confinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N
• The Myriad Uses of Instantons
• Dyons near the transition temperature in lattice QCD
• Cautionary remarks on the moduli space metric for multi-dyon simulations
• Adjoint fermion zero-modes for SU(N) calorons
• The Instanton-Dyon Liquid Model V: Twisted Light Quarks
• The Vortex Structure of SU(2) Calorons
• Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
• Dynamical de Sitter phase and nontrivial holonomy in strongly coupled gauge theories in expanding Universe
• Confining dyon gas with finite-volume effects under control
• Rotating gluon system and confinement
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Different faces of confinement
• The abelian confinement mechanism revisited: new aspects of the Georgi-Glashow model
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Instanton-dyon Ensembles III: Exotic Quark Flavors
• Dyons and Roberge - Weiss transition in lattice QCD
• Topological Inflation
• Thermal Abelian monopoles as selfdual dyons
• Spin Physics through QCD Instantons
• Strongly coupled QFT dynamics via TQFT coupling
• Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum
• D-instantons in Real Time Dynamics
• PT Symmetry and QCD: Finite Temperature and Density
• Dense Instanton-Dyon Liquid Model: Diagrammatics
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• Determinant of the SU(N) caloron with nontrivial holonomy
• Adjoint string breaking in the pseudoparticle approach
• Topological zero modes at nonzero chemical potential
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Symmetric calorons of higher charges and their large period limits
• Instantons in rotating finite-temperature Yang-Mills gas
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Hydrodynamics of the Polyakov Line in SU$(N_c)$ Yang-Mills
• Holographic spectroscopy of fermion with instantons
• Deconfinement Phase Transition in Hot and Dense QCD at Large N
• Topological data analysis of the deconfinement transition in SU(3) lattice gauge theory
• Progress on Carolons
• The Interaction of Two Dyons in The Near Field Limit
• Adjoint torelons, and the persistence of color electric flux tubes in the deconfined phase
• Partition Function of Interacting Calorons Ensemble