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Report number	arXiv:1703.03430 ; YITP-SB-17-12 ; CERN-TH-2017-058 ; CERN-PH-TH-2017-058
Title	Long-range critical exponents near the short-range crossover
Related title	Long-range critical exponents near the short-range crossover
Author(s)	Behan, Connor (YITP, Stony Brook) ; Rastelli, Leonardo (YITP, Stony Brook) ; Rychkov, Slava (CERN ; Ecole Normale Superieure ; UPMC, Paris (main)) ; Zan, Bernardo (ITPP, Lausanne ; CERN)
Publication	2017-06-15
Imprint	2017-03-09
Number of pages	5
Note	5pp
In:	Phys. Rev. Lett. 118 (2017) 241601
DOI	10.1103/PhysRevLett.118.241601
Subject category	hep-th ; Particle Physics - Theory ; cond-mat.stat-mech
Abstract	The $d$-dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power $1/r^{d+s}$, 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.
Copyright/License	arXiv nonexclusive-distrib. 1.0 Preprint: © 2017-2025 CERN (License: CC-BY-4.0)

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