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024 7 _ |a 10.1103/lmpx-n3mj
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100 1 _ |a Gracey, J. A.
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245 _ _ |a Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
260 _ _ |a Ridge, NY
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500 _ _ |a 25 pages, 7 figures
520 _ _ |a We 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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700 1 _ |a Maier, Andreas Martin
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700 1 _ |a Marquard, P.
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700 1 _ |a Schröder, Y.
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773 _ _ |a 10.1103/lmpx-n3mj
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787 0 _ |a Gracey, J. A. et.al.
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|t Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model atfive loops
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