Elsevier

Annals of Physics

Volume 133, Issue 1, 15 April 1981, Pages 57-78
Annals of Physics

First order transitions induced by fluctuations in general φ4-theories

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Abstract

Generalizing arguments introduced to study the critical properties of n-component theories with coupling gijklφiφjφkφl, and arguments used to study the first order transition in systems with cubic anisotropy, it is shown that, if there is more than one invariant in the interaction, then (a) every such system has a domain of “runaway” trajectories in coupling constant space, (b) a first order transition can then be exhibited in a systematic expansion in ε(− 4 − d). The arguments are also explictly exhibited for the system with a quartic anisotropy having the Potts symmetry.

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    ∗

    In partial fulfillment of the requirements for an MSc degree.

    †

    Present address: Dept. of Physics, Brown University, Providence, R.I. 02912.

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