Quantum weights of dyons and of instantons with non-trivial holonomy

Abstract

We calculate exactly functional determinants for quantum oscillations about periodic instantons with non-trivial value of the Polyakov line at spatial infinity. Hence, we find the weight or the probability with which calorons with non-trivial holonomy occur in the Yang--Mills partition function. The weight depends on the value of the holonomy, the temperature, Lambda_QCD, and the separation between the BPS monopoles (or dyons) which constitute the periodic instanton. At large separation between constituent dyons, the quantum measure factorizes into a product of individual dyon measures, times a definite interaction energy. We present an argument that at temperatures below a critical one related to Lambda_QCD, trivial holonomy is unstable, and that calorons ``ionize'' into separate dyons.

arXiv comment35 pages, 5 figs, minor corrections

References in corpus (23)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Instantons at work
• The Calculus of Many Instantons
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Monopoles and Instantons on Partially Compactified D-Branes
• Exact T-duality between Calorons and Taub-NUT spaces
• Monopoles, affine algebras and the gluino condensate
• New findings for topological excitations in SU(3) lattice gauge theory
• The Relevant Scale Parameter in the High Temperature Phase of QCD
• On the topological content of SU(2) gauge fields below T_c
• Calorons, instantons and constituent monopoles in SU(3) lattice gauge theory
• The thermal heat kernel expansion and the one-loop effective action of QCD at finite temperature
• A New Dimensionally Reduced Effective Action for QCD at High Temperature
• Topological lumps and Dirac zero modes in SU(3) lattice gauge theory on the torus
• Searching for KvBLL calorons in SU(3) lattice gauge field ensembles
• Covariant derivative expansion of Yang-Mills effective action at high temperatures
• Monopole determinant in Yang--Mills theory at finite temperature
• 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
• Magnetic Monopole Content of Hot Instantons
• Calorons and BPS monopoles with non-trivial holonomy in the confinement phase of SU(2) gluodynamics

Cited by in corpus (98)

• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• The topological susceptibility in finite temperature QCD and axion cosmology
• Functional Determinants in Quantum Field Theory
• Effective matrix model for deconfinement in pure gauge theories
• Confining ensemble of dyons
• New Phases of SU(3) and SU(4) at Finite Temperature
• Topology and confinement
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• Nonperturbative approach to Yang-Mills thermodynamics
• Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II
• An SU(2) KvBLL caloron gas model and confinement
• The role of monopoles in a Gluon Plasma
• QCD as a topologically ordered system
• Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory
• Higher charge calorons with non-trivial holonomy
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Radiative corrections to the pressure and the one-loop polarization tensor of massless modes in SU(2) Yang-Mills thermodynamics
• The dyonic picture of topological objects in the deconfined phase
• The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum
• Laplacian modes probing gauge fields
• Collisional energy loss above the critical temperature in QCD
• SU(N) caloron measure and its relation to instantons
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• The Myriad Uses of Instantons
• Classical interactions of the instanton-dyons with antidyons
• The monopole content of topological clusters : have KvB calorons been found?
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Cautionary remarks on the moduli space metric for multi-dyon simulations
• Calorons in SU(3) lattice gauge theory
• Adjoint fermion zero-modes for SU(N) calorons
• Quantum and thermal fluctuations in quantum mechanics and field theories from a new version of semiclassical theory
• The Instanton-Dyon Liquid Model V: Twisted Light Quarks
• The Vortex Structure of SU(2) Calorons
• Confining dyon gas with finite-volume effects under control
• Thermal photon dispersion law and modified black-body spectra
• Dynamical de Sitter phase and nontrivial holonomy in strongly coupled gauge theories in expanding Universe
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• A Center-Symmetric 1/N Expansion
• Topological objects in QCD
• Conformal window in QCD for large numbers of colours and flavours
• Towards a semi-classical description of QCD vacuum around $T_c$
• Are there monopoles in the quark-gluon plasma?
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• A model for CMB anisotropies on large angular scales
• Loop expansion in Yang-Mills thermodynamics
• Confinement-Deconfinement Phase Transition at Nonzero Chemical Potential
• Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV
• Relic photon temperature versus redshift and the cosmic neutrino background
• Improved superposition schemes for approximate multi-caloron configurations
• Spatial Wilson loop in continuum, deconfining SU(2) Yang-Mills thermodynamics
• An effective thermodynamic potential from the instanton with Polyakov-loop contributions
• Gap in the black-body spectrum at low temperature
• SU(2) Yang-Mills Theory: Waves, Particles, and Quantum Thermodynamics
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• Topological Inflation
• Confinement in a Higgs Model on $R^3\times S^1$
• Gluino zero-modes for non-trivial holonomy calorons
• Fermionic determinant for SU(N) caloron with nontrivial holonomy
• Phases of circle-compactified QCD with adjoint fermions at finite density
• D-instantons in Real Time Dynamics
• Dense Instanton-Dyon Liquid Model: Diagrammatics
• The isolated electron: De Broglie's "hidden" thermodynamics, SU(2) Quantum Yang-Mills theory, and a strongly perturbed BPS monopole
• Fermionic determinant for dyons and instantons with nontrivial holonomy
• Determinant of the SU(N) caloron with nontrivial holonomy
• The thermal instanton determinant in compact form
• Chiral restoration at finite temperature with meson loop corrections
• An SU(2) gauge principle for the Cosmic Microwave Background: Perspectives on the Dark Sector of the Cosmological Model
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• Topological zero modes at nonzero chemical potential
• One-loop photon-photon scattering in a thermal, deconfining SU(2) Yang-Mills plasma
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory
• Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton
• Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics
• Recent progress in understanding deconfinement and chiral restoration phase transitions
• The isolated, uniformly moving electron: Selfintersecting SU(2) Yang-Mills center vortex loop and Louis de Broglie's hidden thermodynamics
• Symmetric calorons of higher charges and their large period limits
• Building imaginary-time thermal field theory with artificial neural networks
• Caloron correction to the effective potential in thermal gluodynamics
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: strongly associating fluids and biased Monte Carlo
• Exploring the QCD vacuum - (some) recent developments in confinement and topology
• Holographic spectroscopy of fermion with instantons
• Thermodynamics of SU(2) quantum Yang-Mills theory and CMB anomalies
• SU(2) Yang-Mills thermodynamics: a priori estimate and radiative corrections
• Dyon in the $SU(2)$ Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
• Improved ground-state estimate by thermal resummation
• The Interaction of Two Dyons in The Near Field Limit
• SU(2) Quantum Yang-Mills Thermodynamics: Some Theory and Some Applications
• Onset of magnetic monopole-antimonopole condensation
• Partition Function of Interacting Calorons Ensemble
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD
• Pressure corrections in decoupling SU(2) Yang-Mills Theory: The case of dihedral diagrams involving both massive and massless modes
• Raymond and instantons: some recollections and the use of ADHM