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Codello A, D'Odorico G. O(N)-universality classes and the Mermin-Wagner theorem. Phys Rev Lett. 2013;110(14):141601doi: 10.1103/PhysRevLett.110.141601.
Codello, A., & D'Odorico, G. (2013). O(N)-universality classes and the Mermin-Wagner theorem. Physical review letters, 110(14), 141601. https://doi.org/10.1103/PhysRevLett.110.141601
Codello, Alessandro, and D'Odorico, Giulio. "O(N)-universality classes and the Mermin-Wagner theorem." Physical review letters vol. 110,14 (2013): 141601. doi: https://doi.org/10.1103/PhysRevLett.110.141601
Codello A, D'Odorico G. O(N)-universality classes and the Mermin-Wagner theorem. Phys Rev Lett. 2013 Apr 05;110(14):141601. doi: 10.1103/PhysRevLett.110.141601. Epub 2013 Apr 05. PMID: 25166978.
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Phys Rev Lett. 2013 Apr 05;110(14):141601. doi: 10.1103/PhysRevLett.110.141601. Epub 2013 Apr 05.

O(N)-universality classes and the Mermin-Wagner theorem.

Physical review letters

Alessandro Codello, Giulio D'Odorico

Affiliations

  1. SISSA, Via Bonomea 265, 34136 Trieste, Italy.
  2. SISSA, Via Bonomea 265, 34136 Trieste, Italy and INFN, Sezione di Trieste, Via Bonomea 265, 34136 Trieste, Italy.

PMID: 25166978 DOI: 10.1103/PhysRevLett.110.141601

Abstract

We study how universality classes of O(N)-symmetric models depend continuously on the dimension d and the number of field components N. We observe, from a renormalization group perspective, how the implications of the Mermin-Wagner-Hohenberg theorem set in as we gradually deform theory space towards d = 2. For a fractal dimension in the range 2 < d < 3, we find, for any N ≥ 1, a finite family of multicritical effective potentials of increasing order. Apart from the N = 1 case, these disappear in d = 2 consistently with the Mermin-Wagner-Hohenberg theorem. Finally, we study O(N = 0)-universality classes and find an infinite family of these in two dimensions.

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