QCD on a small circle

Abstract

QCD-like theories can be engineered to remain in a confined phase when compactified on an arbitrarily small circle, where their features may be studied quantitatively in a controlled fashion. Previous work has elucidated the generation of a non-perturbative mass gap and the spontaneous breaking of chiral symmetry in this regime. Here, we study the rich spectrum of hadronic states, including glueball, meson, and baryon resonances. We find an exponentially growing Hagedorn density of states, as well as the emergence of non-perturbative energy scales given by iterated exponentials of the inverse Yang-Mills coupling $g^2$.

59+20 pages, 9 figures

References in corpus (58)

• Large N Field Theories, String Theory and Gravity
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Low energy hadron physics in holographic QCD
• Towards the large N limit of pure N=1 super Yang Mills
• Improved Nonrelativistic QCD for Heavy Quark Physics
• The String Dual of a Confining Four-Dimensional Gauge Theory
• 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
• Volume independence in large Nc QCD-like gauge theories
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• Radiative Corrections to the Muonium Hyperfine Structure. I. The ${\alpha }^2(Z\alpha )$ Correction
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Continuity, Deconfinement, and (Super) Yang-Mills Theory
• A semiclassical realization of infrared renormalons
• QCD-like Theories on R_3\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations
• Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups
• Anomaly constraints on deconfinement and chiral phase transition
• Finite size phase transitions in QCD with adjoint fermions
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• New Phases of SU(3) and SU(4) at Finite Temperature
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Magnetic moments of light nuclei from lattice quantum chromodynamics
• Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas
• Universal Properties of Two-Dimensional Boson Droplets
• Introduction to Chiral Perturbation Theory
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Five lectures on effective field theory
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Topological Susceptibility and Contact Term in QCD. A Toy Model
• Order parameters and color-flavor center symmetry in QCD
• Large-N volume independence in conformal and confining gauge theories
• Polyakov loops and the Hosotani mechanism on the lattice
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD
• Large-N reduction in QCD-like theories with massive adjoint fermions
• Deconfining Phase Transition in 2+1 D: the Georgi-Glashow Model
• 2d affine XY-spin model/ 4d gauge theory duality and deconfinement
• Deconfinement in N=1 super Yang-Mills theory on R^3 x S^1 via dual-Coulomb gas and "affine" XY-model
• Confinement and Z_3 symmetry in three-flavor QCD
• On Yang-Mills Theories with Chiral Matter at Strong Coupling
• Lattice study on QCD-like theory with exact center symmetry
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Octet Baryon Magnetic Moments from Lattice QCD: Approaching Experiment from a Three-Flavor Symmetric Point
• Multiflavor QCD* on R_3 x S_1: Studying Transition From Abelian to Non-Abelian Confinement
• Large-N droplets in two dimensions
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• The quarkynic phase and the Z_{Nc} symmetry
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills
• Emergent Dimensions and Braneworlds from Large-N Confinement
• Deconfinement in Yang-Mills theory through toroidal compactification with deformation
• Critical Temperature of the Deconfining Phase Transition in (2+1)d Georgi-Glashow Model
• Volume independence for Yang-Mills fields on the twisted torus
• The abelian confinement mechanism revisited: new aspects of the Georgi-Glashow model
• Exponential reduction of finite volume effects with twisted boundary conditions
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Metastable vacuum decay in center-stabilized Yang-Mills theory at large N

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• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies
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• New nonperturbative scales and glueballs in confining supersymmetric gauge theories
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
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• Non-Abelian sigma models from Yang-Mills theory compactified on a circle
• Confinement on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ and Double-String Collapse
• Topological terms and anomaly matching in effective field theories on ${\mathbb{R}}^3\times S^1$: I. Abelian symmetries and intermediate scales
• Infrared renormalon in $SU(N)$ QCD(adj.) on ${\mathbb{R}}^3\times S^1$
• More on the infrared renormalon in $SU(N)$ QCD(adj.) on ${\mathbb{R}}^3\times S^1$
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0
• On the perturbative aspects of deformed Yang-Mills theory