Particle Physics and Introduction to Field Theory

Abelian-Higgs phase of SU (2) QCD and glueball energy

“…The soliton is the field-theory counterpart of the bag in the bag model [8,9]. Comparing with this idea about two vacua, one finds that it is very suggestive to consider the small-g limit of the dynamics (2) by assuming ||∂n|| ∼ O(g) and ∂φ ∼ o(g) as g → 0.…”

“…in which the media-like factor Z(φ) resembles the dia-electric factor in the DCS model [8,9] and the gauge-invariant kernel in the effective model [7] accounting for the QCD vacuum effects:…”

“…In the DCS model [8,9] for hadron, theory admits two vacua: one is the perturbative vacuum with scalar σ = 0 inside the soliton and other is the non-perturbative vacuum σ = σ 0 outside soliton. The soliton is the field-theory counterpart of the bag in the bag model [8,9].…”

“…In the later, Z(φ) assumes the role of the vacuum medium factor, quite similar to the dia-chromoelectric constant in the dia-chromoelectric soliton (DCS) model [8,9]. Now that the bag object can arise in the AH model as a manyvortices soliton, namely, wall vortices [1] it is interesting to investigate the QCD origin of dual AH model, the dual and relativistic version of the Ginzburg-Landau theory for superconductor.…”

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“…Indeed, Dirac's averaging over the Compton scale, referred to, achieves the same purpose-it eliminates zitterbewegung effects. The spirit of Dirac's average spacetime intervals rather than spacetime points has continued to receive attention over the years in the form of minimum spacetime intervals-from the work of Snyder and Schild to Quantum Superstring theory [5,6,7,8,9,10,11]. In modern language, it is symptomatic of a Non commutative spacetime geometry [12,13,14].…”