On the Emerging Phenomenology of <(A_μ)^2>

Abstract

We discuss phenomenology of the vacuum condensate <(A_μ)^2> in pure gauge theories, where A_μis the gauge potential. Both Abelian and non-Abelian cases are considered. In case of the compact U(1) the non-perturbative part of the condensate <(A_μ)^2> is saturated by monopoles. In the non-Abelian case, a two-component picture for the condensate is presented according to which finite values of order Λ_{QCD}^2 are associated both with large and short distances. We obtain a lower bound on the <(A_μ)^2> by considering its change at the phase transition. Numerically, it produces an estimate similar to other measurements. Possible physical manifestations of the condensate are discussed.

17 pp., Latex2e, 3 figures

References in corpus (11)

• Consistent OPE Description of Gluon Two- and Three-point Green Function?
• Lattice calculation of $1/p^2$ corrections to ${\alpha }_s$ and of ${\Lambda }_{\mathrm{QCD}}$ in the $\widetilde{MOM}$ scheme
• The Gluon Propagator without lattice Gribov copies
• Confinement and short distance physics
• Towards Abelian-like formulation of the dual gluodynamics
• Dirac Strings and Monopoles in the Continuum Limit of SU(2) Lattice Gauge Theory
• The Berry Phase and Monopoles in Non-Abelian Gauge Theories
• Magnetic monopoles, alive
• Probing the Boundary of the Non-Perturbative QCD by Small Size Instantons
• Gauge invariant Z_2 vortex vacuum textures and the SU(2) gluon condensate
• The Infrared behaviour of the gluon propagator in SU(2) and SU(3) without lattice Gribov copies

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