Article Dans Une Revue Physical Review Letters Année : 2017

Long-range critical exponents near the short-range crossover

Résumé

The d-dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power 1/rd+s, admits a second-order phase transition with continuously varying critical exponents. At s=s*, the phase transition crosses over to the usual short-range universality class. The standard field-theoretic description of this family of models is strongly coupled at the crossover. We find a new description, which is instead weakly coupled near the crossover, and use it to compute critical exponents. The existence of two complementary UV descriptions of the same long-range fixed point provides a novel example of infrared duality.

Dates et versions

hal-01554534 , version 1 (03-07-2017)

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Connor Behan, Leonardo Rastelli, Slava Rychkov, Bernardo Zan. Long-range critical exponents near the short-range crossover. Physical Review Letters, 2017, 118 (24), pp.241601. ⟨10.1103/PhysRevLett.118.241601⟩. ⟨hal-01554534⟩
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