Spontaneous Mass Generation, Renormalization Group and Solvable U(N) -Symmetric Models
Recently, the problem of giving masses to the gauge mesons which appear in the theoretically attractive gauge theories without spoiling renormalizability and asymptotic freedom has aroused some interest in the mechanism of spontaneous mass generation. The main idea of this mechanism is that masses might be generated by an instability of the perturbation theoretical vacuum, a state for which the expectation values of all the fields of the theory vanish: In some situations the real ground state of a system may not be identical with the vacuum of perturbation theory, some field Φ of the theory develops a non-vanishing expectation value in the real ground state, which results in attributing masses to apparently massless theories.
KeywordsEffective Potential Mass Generation Asymptotic Freedom Stable Fixed Point Auxiliary Field
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