CONDENSATION ENERGY OF THE NAMBU-JONA-LASINIO VACUUM AND THE MIT BAG CONSTANT

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Abstract
The energy densities of the vacuum in the Wigner and the Goldstone modes of the Nambu-Jona-Lasinio Hamiltonian are calculated. The difference of these two quantities is analogous to the condensation energy of a BCS superconductor, and is used here to estimate the temperature dependence of the MIT bag constant. The formalism of da Providencia et al. is generalized to finite temperatures, yielding the same gap equation as the finite-temperature field theory. The thermodynamics of the vacuum in the two phases is studied.

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