Instability of the chiral invariant vacuum due to gluon exchange |
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Authors: | A Amer A Le Yaouanc L Oliver O Pène J -C Raynal |
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Institution: | 1. Laboratoire de Physique Théorique et Hautes Energies, Université Paris-Sud, Batiment 211, F-91405, Orsay, France
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Abstract: | It has been shown by Finger, Horn and Mandula in the Tamm-Dancoff approximation that Coulomb exchange induces vacuum instability for α s bigger than some critical value. We show here in all generality that the critical coupling is lower using the Bogolioubov-Valatin variational method. For Coulomb exchange we find \(\tfrac{4}{3}\alpha _s^{crit} = 1\) instead of \(\tfrac{4}{3}\alpha _s^{crit} = \tfrac{3}{2}\) , and adding transverse gluon exchange with the Breit interaction, \(\tfrac{4}{3}\alpha _s^{crit} = \tfrac{1}{3}\) . It is remarkable that these values of α s crit are not far from the range of perturbative QCD. |
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