CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS

KARKKAINEN L, LACAZE R, LACOCK P, Petersson B (1994)
NUCLEAR PHYSICS B 415(3): 781-796.

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We measure the critical exponents of the three-dimensional Gross-Neveu model with two four-component fermions. The exponents are inferred from the scaling behaviour of observables on lattice sizes 8(3), 12(3), 16(3), 24(3), and 32(3). We find that the model has a second-order phase transition with nu = 1.00(4) and 2 - eta = gamma/nu = 1.246(8). We also calculate these exponents, through a second-order epsilon-expansion around four dimensions, for the three-dimensional Higgs-Yukawa model, which is expected to be in the same universality class, and obtain gamma/nu = 1.237 and nu = 0.948, while recent second-order 1/N(f) expansion calculations give gamma/nu = 1.256 and nu = 0.903. We conclude that the equivalence of the two models remains valid in three dimensions at fixed small N(f) values.
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KARKKAINEN L, LACAZE R, LACOCK P, Petersson B. CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS. NUCLEAR PHYSICS B. 1994;415(3):781-796.
KARKKAINEN, L., LACAZE, R., LACOCK, P., & Petersson, B. (1994). CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS. NUCLEAR PHYSICS B, 415(3), 781-796. doi:10.1016/0550-3213(94)90309-3
KARKKAINEN, L., LACAZE, R., LACOCK, P., and Petersson, B. (1994). CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS. NUCLEAR PHYSICS B 415, 781-796.
KARKKAINEN, L., et al., 1994. CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS. NUCLEAR PHYSICS B, 415(3), p 781-796.
L. KARKKAINEN, et al., “CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS”, NUCLEAR PHYSICS B, vol. 415, 1994, pp. 781-796.
KARKKAINEN, L., LACAZE, R., LACOCK, P., Petersson, B.: CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS. NUCLEAR PHYSICS B. 415, 781-796 (1994).
KARKKAINEN, L, LACAZE, R, LACOCK, P, and Petersson, Bengt. “CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL GROSS-NEVEU AND HIGGS-YUKAWA MODELS”. NUCLEAR PHYSICS B 415.3 (1994): 781-796.
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