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000636305 1001_ $$0P:(DE-HGF)0$$aGracey, J. A.$$b0$$eCorresponding author
000636305 245__ $$aAnomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
000636305 260__ $$aRidge, NY$$bAmerican Physical Society$$c2025
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000636305 520__ $$aWe renormalize the Gross-Neveu-Yukawa model with an O(N ) symmetry to O(ϵ$^5$ ) in d = 4 − ϵdimensions and determine the anomalous dimensions of the fermion and scalar fields, β-functions aswell as the scalar field’s mass operator. These are used to construct several N dependent criticalexponents relevant for quantum transitions in semi-metals and in particular those connected withgraphene in three dimensions when N = 2. Improved exponent estimates for scalar fermion transitionson a honeycomb lattice, when N = 1, as well as for N = 5 are also given to compare with resultsfrom other techniques such as the conformal bootstrap.
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000636305 7001_ $$0P:(DE-HGF)0$$aMaier, Andreas Martin$$b1
000636305 7001_ $$0P:(DE-H253)PIP1019895$$aMarquard, P.$$b2
000636305 7001_ $$0P:(DE-HGF)0$$aSchröder, Y.$$b3
000636305 773__ $$0PERI:(DE-600)2844732-3$$a10.1103/lmpx-n3mj$$gVol. 112, no. 8, p. 085029$$n8$$p085029$$tPhysical review / D$$v112$$x2470-0010$$y2025
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