Доказательство незамкнутости модели Гросса - Нэве в размерной регуляризации $d=2+2\varepsilon$

The critical behavior of a relativistic Z 2 -symmetric Yukawa model at zero temperature and density is discussed for a continuous number of fermion degrees of freedom and of spacetime dimensions, with emphasis on the role played by multi-meson exchange in the Yukawa sector. We argue that this should be generically taken into account in studies based on the functional renormalization group, either in four-dimensional high-energy models or in lower-dimensional condensed-matter systems. By means of the latter method, we describe the generation of multi-critical models in less then three dimensions, both at infinite and finite number of flavors. We also provide different estimates of the critical exponents of the chiral Ising universality class in three dimensions for various field contents, from a couple of massless Dirac fermions down to the supersymmetric theory with a single Majorana spinor.

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Multimeson Yukawa interactions at criticality

Vacca

Zambelli

2015

Phys. Rev. D

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Question of a Possible Infrared Zero in the Beta Function of the Finite- N Gross-Neveu Model

2017

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We investigate whether the beta function of the finite-N Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Padé approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.

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Доказательство незамкнутости модели Гросса - Нэве в размерной регуляризации $d=2+2\varepsilon$

Cited by 2 publications

References 12 publications

Multimeson Yukawa interactions at criticality

Multimeson Yukawa interactions at criticality

Question of a Possible Infrared Zero in the Beta Function of the Finite- N Gross-Neveu Model

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