Existence of the Critical Point in φ Field Theory*
نویسندگان
چکیده
We consider the φ quantum field theory in two and three spacetime dimensions. In the single phase region the physical mass (inverse correlation length) m(σ) decreases continuously to zero as the bare mass parameter σ approaches a critical value σc from above. In three dimensions the critical point σc is in the single phase region and the physical mass vanishes there, m(σc) = 0. A consequence of our results is that the critical exponent v governing the approach to infinite correlations is bounded below (rigorously) by its classical value, 1/2.
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