Possible third-order phase transition in the large-N lattice gauge theory

David J. Gross and Edward Witten
Phys. Rev. D 21, 446 – Published 15 January 1980
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Abstract

The large-N limit of the two-dimensional U(N) (Wilson) lattice gauge theory is explicitly evaluated for all fixed λ=g2N by steepest-descent methods. The λ dependence is discussed and a third-order phase transition, at λ=2, is discovered. The possible existence of such a weak- to strong-coupling third-order phase transition in the large-N four-dimensional lattice gauge theory is suggested, and its meaning and implications are discussed.

  • Received 10 July 1979

DOI:https://doi.org/10.1103/PhysRevD.21.446

©1980 American Physical Society

Authors & Affiliations

David J. Gross

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

Edward Witten

  • Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

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Issue

Vol. 21, Iss. 2 — 15 January 1980

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