ISSN:
1434-6052
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01577821
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