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Field-theoretic approach to second-order phase transitions in two- and three-dimensional systems

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Abstract

We review the physical principles which are at the basis of recent field-theoretic computations of the critical exponents in two- and three-dimensional systems. We concentrate on those points that do not show up explicitly in the more standardε-expansion: they must be discussed with care if one uses a perturbative approach at fixed space dimensions (the loop expansion). We present in detail simple computations of the critical exponents, while we summarize the results of longer and more accurate computations.

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  1. Laboratori Nazionali INFN, Frascati, Italy

    Giorgio Parisi

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  1. Giorgio Parisi
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Parisi, G. Field-theoretic approach to second-order phase transitions in two- and three-dimensional systems. J Stat Phys 23, 49–82 (1980). https://doi.org/10.1007/BF01014429

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