By A. W. Thomas (auth.), J. W. Negele, Erich Vogt (eds.)
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Additional info for Advances in Nuclear Physics: Volume 13
104) The QCD vacuum tends to break spontaneously into a set of bubbles of size R o! By extending this argument to include quark degrees of freedom, Johnson was able to derive a formula for hadronic masses very elose to the static MIT bag model. In particular, the bag constant (E) is simply the energy per unit volume of the empty bags surrounding the hadron. 5 fm with A = 500 MeV. While this picture is very much simplified-for example, it is not Lorentz invariant-it has many suggestive features.
In fact the correct statement of the PCAC (partially conserved axial current) hypothesis (Col 68) is that the extrapolation from zero pion mass to m" should be smooth. In the limited space available here we cannot do justice to the depth of physics investigated using the PCAC hypothesis. At best we can refer to some excellent textbook presentations (GL 60, AD 68, Lee 68, Co168, Zum 68, ER 72, Bro 79). In addition, we can get some physical insight into the structure of 4'" by referring to Fig. 2.
Eq. 98)], perturbative QCD is permitted inside the bag, and there is a very rapid phase transition at the surface. Of course, the physical nature of the surface which would provide the color-dia-electric boundary conditions is beyond the scope of this treatment. 2. Soliton Bag Models Many groups have proposed that bag formation should be associated with a phase transition. In the presence of the strong color fields inside the bag the vacuum is very simple and the quarks are essentially free. However, at some critical field strength there is a phase transition to a highly complicated vaClum state with color-dielectric constant ~ -* 0, thus confining color fields.
Advances in Nuclear Physics: Volume 13 by A. W. Thomas (auth.), J. W. Negele, Erich Vogt (eds.)