String Tensions and Representations in Anisotropic 2+1-Dimensional Weakly-Coupled Yang-Mills Theory

Abstract

In earlier papers we established quark confinement analytically in anisotropic $(2+1)$-dimensional Yang-Mills theory with two gauge coupling constants. Here we point out a few features of the confining phase. These are: 1) the string tension in the $x^2$-direction as a function of representation obeys a sine law, and 2) static adjoint sources are not confined.

Some added clarifications included. Now ten pages

References in corpus (19)

• Dynamics of $SU(N)$ Supersymmetric Gauge Theory
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• Confinement and Strings in MQCD
• Confining strings in SU(N) gauge theories
• On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theories in (2+1) dimensions
• On String Tensions in Supersymmetric SU(M) Gauge Theory
• Planar Yang-Mills theory: Hamiltonian, regulators and mass gap
• Spectrum of confining strings in SU(N) gauge theories
• On the origin of the mass gap for non-Abelian gauge theories in (2+1) dimensions
• k-string tensions in SU(N) gauge theories
• Casimir Scaling vs. Abelian Dominance in QCD String Formation
• Gauge invariant variables and the Yang-Mills-Chern-Simons theory
• Manifest covariance and the Hamiltonian approach to mass gap in (2+1)-dimensional Yang-Mills theory
• Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory
• Lattice QCD-2+1
• Gauge-Invariant Coordinates on Gauge-Theory Orbit Space
• Extremal Curves in 2+1-Dimensional Yang-Mills Theory
• k-strings and baryon vertices in SU(N) gauge theories

Cited by in corpus (19)

• Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
• The robustness of the vacuum wave function and other matters for Yang-Mills theory
• Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Summing Planar Diagrams by an Integrable Bootstrap II
• Summing Planar Diagrams by an Integrable Bootstrap
• Correlation Functions of the SU(infinity) Principal Chiral Model
• Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Center symmetry and area laws
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. II. Spin foam representation
• On scale symmetry breaking and confinement in D=3 models
• Longitudinal Rescaling and High-Energy Effective Actions
• On the deconfining limit in (2+1)-dimensional Yang-Mills theory
• Near-integrability and confinement for high-energy hadron-hadron collisions
• Comments on k-Strings at Large N
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. I. BF Yang-Mills representation
• Confinement for all couplings in a ${\mathbb{Z}}_2$ lattice gauge theory
• Fluctuations Destroying Long-Range Order in SU(2) Yang-Mills Theory
• Ground-state wave-functional in (2+1)-dimensional Yang-Mills theory: Abelian limit, spectrum and robustness
• Notes on the Hamiltonian formulation of 3D Yang-Mills theory