Momentum dependence of quantum critical Dirac systems

Dabelow L, Gies H, Knorr B (2019)
PHYSICAL REVIEW D 99(12): 125019.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We analyze fermionic criticality in relativistic 2 + 1 dimensional fermion systems using the functional renormalization group (FRG), concentrating on the Gross-Neveu (chiral Ising) and the Thirring model. While a variety of methods, including the FRG, appear to reach quantitative consensus for the critical regime of the Gross-Neveu model, the situation seems more diverse for the Thirring model with different methods yielding vastly different results. We present a first exploratory FRG study of such fermion systems including momentum-dependent couplings using pseudo-spectral methods. Our results corroborate the stability of results in Gross-Neveu-type universality classes, but indicate that momentum dependencies become more important in Thirring-type models for small flavor numbers. For larger flavor numbers, we confirm the existence of a non-Gaussian fixed point and thus a physical continuum limit. In the large-N limit, we obtain an analytic solution for the momentum dependence of the fixed-point vertex.
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Zeitschriftentitel
PHYSICAL REVIEW D
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99
Ausgabe
12
Art.-Nr.
125019
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Dabelow L, Gies H, Knorr B. Momentum dependence of quantum critical Dirac systems. PHYSICAL REVIEW D. 2019;99(12): 125019.
Dabelow, L., Gies, H., & Knorr, B. (2019). Momentum dependence of quantum critical Dirac systems. PHYSICAL REVIEW D, 99(12), 125019. doi:10.1103/PhysRevD.99.125019
Dabelow, L., Gies, H., and Knorr, B. (2019). Momentum dependence of quantum critical Dirac systems. PHYSICAL REVIEW D 99:125019.
Dabelow, L., Gies, H., & Knorr, B., 2019. Momentum dependence of quantum critical Dirac systems. PHYSICAL REVIEW D, 99(12): 125019.
L. Dabelow, H. Gies, and B. Knorr, “Momentum dependence of quantum critical Dirac systems”, PHYSICAL REVIEW D, vol. 99, 2019, : 125019.
Dabelow, L., Gies, H., Knorr, B.: Momentum dependence of quantum critical Dirac systems. PHYSICAL REVIEW D. 99, : 125019 (2019).
Dabelow, Lennart, Gies, Holger, and Knorr, Benjamin. “Momentum dependence of quantum critical Dirac systems”. PHYSICAL REVIEW D 99.12 (2019): 125019.

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arXiv: 1903.07388

Inspire: 1725526

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