Abstract
A lattice approximation to Euclidean, Boson quantum field theory is expressed in terms of the thermodynamic properties of a classical statistical mechanical system near its critical point in a sufficiently general way to permit the inclusion of an anomalous dimension of the vacuum. Using the thermodynamic properties of the Ising model, one can begin to construct non-trivial (containing scattering) field theories in 2, 3 and 4 dimensions. It is argued that, depending on the choice of the bare coupling constant, there are three types of behavior to be expected (i) the perturbation theory region, (ii) the renormalization group fixed point region, and (iii) the Ising model region.
Work supported in part by the U.S. Energy Research and Development Administration and in part by the French CEA.
On leave from Los Alamos to Saclay.
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© 1977 Plenum Press, New York
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Baker, G.A. (1977). Statistical Mechanics of Lattice Boson Field Theory. In: Landman, U. (eds) Statistical Mechanics and Statistical Methods in Theory and Application. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-4166-6_7
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DOI: https://doi.org/10.1007/978-1-4613-4166-6_7
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