The solution of the gap equation for Y-M theory

Baruch Rosenstein*, A. Kovner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The gaussian variational approach is applied to pure Y-M theory in the axial gauge. Here restriction is made to the class of trial (vacuum) wave functionals that are invariant under space translations, rotations and color transformations. The resulting integral equation (gap equation) contains only renormalizable logarithmic divergences. The unique solution is found for any value of the coupling constant. The elementary excitation energy ω(k) behaves as k-0.77 for k → 0 and as k ln - 1 2(k/μ) for k → ∞. There exists a finite energy gap between the ground state and the lowest excited state.

Original languageEnglish
Pages (from-to)71-76
Number of pages6
JournalPhysics Letters B
Issue number1
StatePublished - 4 Sep 1986

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