Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-12
Phys.Lett.B349:484-490,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, RevTeX 3.0, no figures. To appear in Physics Letters B. Full postscript version available via anonymous ftp (192.84.1
Scientific paper
10.1016/0370-2693(95)00296-W
The concept of dimensional reduction in the high temperature regime is generalized to static Green's functions of composite operators that contain fermionic fields. The recognition of a natural kinematic region where the lowest Matsubara modes are close to their mass-shell, and the ultraviolet behavior of the running coupling constant of the original theory are crucial for providing the necessary scale hierarchy. The general strategy is illustrated in the asymptotically-free Gross-Neveu model in 1+1 dimensions, where we verify that dimensional reduction occurs to the leading order in $g^2(T)$. We also find, in the same model, that the scale parameter characterizing the dependence on temperature of the coupling constant in the reduced theory, $\Lambda_T$, is considerably smaller than $\Lambda_{\bar{\text{MS}}}$. Implications of our results for QCD are also discussed.
Huang Suzhou
Lissia Marcello
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