The BF Formalism for QCD and Quark Confinement

Abstract

Using the BF version of pure Yang-Mills, it is possible to find a covariant representation of the 't Hooft magnetic flux operator. In this framework, 't Hooft's pioneering work on confinement finds an explicit realization in the continuum. Employing the Abelian projection gauge we compute the expectation value of the magnetic variable and find the expected perimeter law. We also check the area law behaviour for the Wilson loop average and compute the string tension which turns out to be of the right order of magnitude.

Various changes, version to appear in Nucl.Phys.B

References in corpus (13)

• Monopoles and string tension in SU(2) QCD
• Topological BF Theories in 3 and 4 Dimensions
• Colour confinement as dual Meissner effect: $SU(2)$ gauge theory
• Feynman rules and beta-function for the BF Yang-Mills Theory
• Gauged Hyperinstantons and Monopole Equations
• The Donaldson-Witten Invariants in Pure QCD with Order and Disorder 't Hooft-like Operators
• On Induced Gravity in 2-d Topological Theories
• Topological field theory and physics
• Dirac Monopoles and Witten's Monopole Equations
• Liouville Vortex And ${\phi }^4$ Kink Solutions Of The Seiberg--Witten Equations
• Algebraic renormalization of the BF Yang-Mills Theory
• Shock Waves and the Vacuum Structure of Gauge Theories
• Aharonov--Bohm Effect in the Abelian Higgs Theory

Cited by in corpus (29)

• Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
• An ambitwistor Yang-Mills Lagrangian
• Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
• $BF$ gravity
• Feynman rules and beta-function for the BF Yang-Mills Theory
• Physical Consequences of Nonabelian Duality in the Standard Model
• Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
• Loop and Path Spaces and Four-Dimensional BF Theories: Connections, Holonomies and Observables
• String Holonomy and Extrinsic Geometry in Four-dimensional Topological Gauge Theory
• Algebraic renormalization of the BF Yang-Mills Theory
• Perturbative BF-Yang-Mills theory on noncommutative R^4
• Local symmetries of the non-Abelian two-form
• BF Actions for the Husain-Kuchar Model
• Non-Chern-Simons Topological Mass Generation in (2+1) Dimensions
• A Large N expansion for Gravity
• Nonabelian Generalization of Electric-Magnetic Duality - a Brief Review
• Higher form Yang-Mills as higher BFYM theories
• Vacuum condensates, effective gluon mass and color confinement in a new reformulation of QCD
• A formulation of the Yang-Mills theory as a deformation of a topological field theory based on background field method and quark confinement problem
• Cohomology and Renormalization of BFYM Theory in three Dimensions
• Dimension of the moduli space and Hamiltonian analysis of BF field theories
• Topological Yang-Mills cohomology in pure Yang-Mills Theory
• A superspace gauge-invariant formulation of a massive tridimensional 2-form field
• Contactless generation and trapping of hydrodynamic knots in sessile droplets by acoustic screw dislocations
• Generalized dual symmetry of nonabelian theories and the freezing of α_s
• Renormalization trasformations of the 4D BFYM theory
• A New Nonperturbative Approach to QCD by BF Theory
• Remarks on monopoles in Abelian projected continuum Yang-Mills theories
• Categorical generalization of BF theory coupled to gravity