2016
DOI: 10.1103/physreve.94.036101
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Comment on “Nonlocal quartic interactions and universality classes in perovskite manganites”

Abstract: In a recent paper [Phys. Rev. E 92, 012123 (2015)] a modified d-dimensional Φ 4 model was investigated that differs from the standard one in that the Φ 4 term was replaced by a nonlocal one with a potential u(x−x ′ ) that depends on a parameter σ and decays exponentially as |x−x ′ | → ∞ on a scale |m| −1 < ∞. The authors claim the upper critical dimension of this model to be dσ = 4 + 2σ. Performing a one-loop calculation they arrive at expansions in powers of ǫσ = dσ − d for critical exponents such as η and re… Show more

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