TY - JOUR

T1 - The solution of the gap equation for Y-M theory

AU - Rosenstein, Baruch

AU - Kovner, A.

PY - 1986/9/4

Y1 - 1986/9/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=46149134728&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(86)90017-1

DO - 10.1016/0370-2693(86)90017-1

M3 - Article

AN - SCOPUS:46149134728

VL - 177

SP - 71

EP - 76

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -