String Theory and Quark Confinement

Abstract

This article is based on a talk given at the ``Strings'97'' conference. It discusses the search for the universality class of confining strings. The key ingredients include the loop equations, the zigzag symmetry, the non-linear renormalization group. Some new tests for the equivalence between gauge fields and strings are proposed.

13 pages, latex; talk at STRINGS'97

Cited by in corpus (146)

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• AdS Dual of the Critical O(N) Vector Model
• A semi-classical limit of the gauge/string correspondence
• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Wilson Loops and Minimal Surfaces
• The Pomeron and Gauge/String Duality
• Brane Dynamics and Gauge Theory
• Infinite N phase transitions in continuum Wilson loop operators
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• A Generalization of Sachdev-Ye-Kitaev
• Generalized Holographic Quantum Criticality at Finite Density
• The Supergravity Dual of N=1 Super Yang-Mills Theory
• Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• Light-Front Hadron Dynamics and AdS/CFT Correspondence
• Fermions, strings, and gauge fields in lattice spin models
• Gauge/string duality for QCD conformal operators
• On stringy AdS_5 x S^5 and higher spin holography
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• On Four-point Functions in the CFT/AdS Correspondence
• Complex geometry of conifolds and 5-brane wrapped on 2-sphere
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Gauge/string duality and scalar glueball mass ratios
• Light-cone Superstring in AdS Space-time
• Higher rank Wilson loops from a matrix model
• Algebraic Curve for the SO(6) sector of AdS/CFT
• From Free Fields to $AdS$
• Large N BPS states and emergent quantum gravity
• Evaluation Of Glueball Masses From Supergravity
• Thermodynamics of deformed AdS${}_5$ model with a positive/negative quadratic correction in graviton-dilaton system
• Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold
• Quantum order from string-net condensations and origin of light and massless fermions
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• Scattering in Anti-de Sitter Space and Operator Product Expansion
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• Casimir scaling as a test of QCD vacuum
• The AdS/CFT Correspondence
• The Pomeron contribution to p p and p bar p scattering in AdS/QCD
• Wilson Loop Correlator in the AdS/CFT Correspondence
• Loop Equations and bootstrap methods in the lattice
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes
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• Conformal Fixed Points of Unidentified Gauge Theories
• Static Potential in N=4 Supersymmetric Yang-Mills Theory
• Closed String Tachyons, AdS/CFT, and Large N QCD
• Wilson Loop Renormalization Group Flows
• BPS Domain Walls in Large N Supersymmetric QCD
• Towards a string representation of infrared SU(2) Yang-Mills theory
• Worldsheet Descriptions of Wrapped NS Five-Branes
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Bootstrapping Pions at Large $N$
• Connecting Polyakov Loops to the Thermodynamics of $SU(N_c)$ Gauge Theories Using the Gauge-String Duality
• Tachyon Stabilization in the AdS/CFT Correspondence
• Scaling laws in hadronic processes and string theory
• Can Renormalization Group Flow End in a Big Mess?
• On k-String Tensions and Domain Walls in N=1 Gluodynamics
• On First Order Formalism in String Theory
• Gravitational Waves and Primordial Black Hole Productions from Gluodynamics by Holography
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• Holographic quantum criticality and strange metal transport
• 1+1 Dimensional NCOS and its U(N) Gauge Theory Dual
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• QCD/String holographic mapping and high energy scattering amplitudes
• Odderon in Gauge/String Duality
• Singularities, Structures and Scaling in Deformed Elastic m-Sheets
• Polyakov loop correlators from D0-brane interactions in bosonic string theory
• Holographic description of large N gauge theory
• Introduction to M Theory and AdS/CFT Duality
• Quantized tension: Stringy amplitudes with Regge poles and parton behavior
• Properties of Chiral Wilson Loops
• Yang--Mills Glueballs as Closed Bosonic Strings
• The partition function of interfaces from the Nambu-Goto effective string theory
• Gauge Theories, D-Branes and Holography
• Product Integral Formalism and Non-Abelian Stokes Theorem
• Bogolubov's Recursion and Integrability of Effective Actions
• The SU(2) sector in AdS/CFT
• Precision matching of circular Wilson loops and strings in AdS(5)xS(5)
• Wilson Loops, D-Branes, and Reparametrization Path-Integrals
• ADS/CFT String Duality and Conformal Gauge Field Theories
• Anyons, 't Hooft loops and a Generalized Connection in Three Dimensions
• QCD and String Theory
• High Energy QCD: Stringy Picture from Hidden Integrability
• On n-point Amplitudes in N=4 SYM
• On the boundary gauge dual of closed tensionless free strings in AdS
• On Renormalization Group in Abstract QFT
• Holography and the Polyakov action
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• (Non-)perturbative tests of the AdS/CFT correspondence
• World Sheet Logarithmic CFT in AdS Strings, Ghost-Matter Mixing and M-theory
• A few comments on the high-energy behavior of string scattering amplitudes in warped spacetimes
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• Confining Strings, Infinite Statistics and Integrability
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Exact amplitudes in four dimensional non-critical string theories
• Kaon form factor in holographic QCD
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• Conceptual Analysis of Black Hole Entropy in String Theory
• Rectangular Wilson Loops at Large N
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Non-Abelian Stokes Theorems in Yang-Mills and Gravity Theories
• Topological Quantum Gates in Homotopy Type Theory
• More comments on the high-energy behavior of string scattering amplitudes in warped spacetimes
• Exact Renormalization Group and Loop Equation
• One-loop derivation of the Wilson polygon - MHV amplitude duality
• Comments on Tachyon Potentials in Closed and Open-Closed String Theories
• Confinement Near Argyres-Douglas Point in N=2 QCD and Low Energy Version of AdS/CFT Correspondence
• Holography for a Non-Inflationary Early Universe
• QCD-Like Behaviour of High-Temperature Confining Strings
• Deviation from Alday-Maldacena Duality For Wavy Circle
• Lattice Gauge Theories and the AdS/CFT Correspondence
• AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator
• Reggeon exchange from gauge/gravity duality
• Universality Class of Confining Strings
• Trajectories of photons around a rotating black hole with unusual asymptotics
• Large Dual Transformations and the Petrov-Diakonov Representation of the Wilson Loop
• QCD strings with spinning quarks
• Correlation functions in the Coulomb branch of N=4 SYM from AdS/CFT correspondence
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• Remarks on correlators of Polyakov Loops
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• Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
• Strings and Branes in Nonabelian Gauge Theory
• Noncommutativity and Ramond-Ramond fields