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- W2044869729 abstract "We show that the massless (ultraviolet-regularized) Gross-Neveu model, in $d>~3$ dimensions and any number of flavors $(N=1,2,3,dots{}),$ does not exhibit the mass generation mechanism if the quartic term coupling constant ensuremath{lambda} is sufficiently small. Specifically, by showing the uniformity in N for the whole treatment developed for $N=1$ in previous works, we prove that the two-point function can be written in terms of a convergent expansion in powers of the initial coupling ensuremath{lambda}, with a convergence radius uniform in N and in the volume, and that, for long distances, it decays as a free propagator (i.e., polynomially)." @default.
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- W2044869729 date "2000-04-20" @default.
- W2044869729 modified "2023-10-18" @default.
- W2044869729 title "Absence of mass generation in thed>~3,N>~1weakly coupled Gross-Neveu model" @default.
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- W2044869729 doi "https://doi.org/10.1103/physrevd.61.107701" @default.
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