Phys. Rev. D 31, 1443–1452 (1985)Dimensional phase transitions: Coupling of matter to the cell complexReceived 30 November 1984; published in the issue dated 15 March 1985 We extend Euclidean lattice field theory from a usual D-dimensional lattice onto a cell complex. Using the extension we present a formalism to describe a change in the dimension of space-time as a phase transition. The coupling of matter to the cell complex is considered. For two-dimensional models with continuous time we give a number of exact results for the free energy of the systems. We show that for certain models two-dimensional space-time decays into one-dimensional space-time. © 1985 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.31.1443
DOI:
10.1103/PhysRevD.31.1443
PACS:
11.10.Ef, 05.50.+q
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