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- W3105131462 abstract "Recent work by K. G. Wilson, A. A. Migdal and others has led to a statistical mechanical treatment of systems of interaction quarks and strings. This work is summarized here. The major topics discussed include boson and fermion variables in statistical mechanics; descriptions of local and gauge symmetries; exact solutions of one-dimensional problems with nearest-neighbor interactions; exact solutions of two dimensional problems with plaquette interactions; Wilson's model of quarks and strings; asymptotic freedom and trapping for this model; the effect of a phase transition in this system; approximate recursion relations of the Migdal form. Finally, all this is put together to give a partial argument for the simultaneous existence of asymptotic freedom and trapping ${mathrm{O}}_{2}$ in the quark-string case. Arguments are developed which distinguish this case from the superficially analogous example of quantum electrodynamics." @default.
- W3105131462 created "2020-11-23" @default.
- W3105131462 creator A5050175985 @default.
- W3105131462 date "1977-04-01" @default.
- W3105131462 modified "2023-09-24" @default.
- W3105131462 title "The application of renormalization group techniques to quarks and strings" @default.
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- W3105131462 doi "https://doi.org/10.1103/revmodphys.49.267" @default.
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