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000633347 088__ $$2arXiv$$aarXiv:2507.22594
000633347 1001_ $$0P:(DE-HGF)0$$aGracey, J. A.$$b0
000633347 245__ $$aAnomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
000633347 260__ $$c2025
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000633347 500__ $$a25 pages, 7 figures
000633347 520__ $$aWe renormalize the Gross-Neveu-Yukawa model with an O(N ) symmetry to O(ϵ$^5$ ) in d = 4 − ϵdimensions and determine the anomalous dimensions of the fermion and scalar fields, β-functions aswell as the scalar field’s mass operator. These are used to construct several N dependent criticalexponents relevant for quantum transitions in semi-metals and in particular those connected withgraphene in three dimensions when N = 2. Improved exponent estimates for scalar fermion transitionson a honeycomb lattice, when N = 1, as well as for N = 5 are also given to compare with resultsfrom other techniques such as the conformal bootstrap.
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000633347 536__ $$0G:(EU-Grant)824093$$aSTRONG-2020 - The strong interaction at the frontier of knowledge: fundamental research and applications (824093)$$c824093$$fH2020-INFRAIA-2018-1$$x1
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000633347 7001_ $$0P:(DE-HGF)0$$aMaier, Andreas Martin$$b1
000633347 7001_ $$0P:(DE-H253)PIP1019895$$aMarquard, P.$$b2$$eCorresponding author
000633347 7001_ $$0P:(DE-HGF)0$$aSchröder, Y.$$b3
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000633347 9141_ $$y2025
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