On the Landau–Khalatnikov–Fradkin transformation in quenched $$\mathrm{QED}_3$$

Author:

Kotikov A. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference34 articles.

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2. A. V. Kotikov, “Critical behavior of 3D electrodynamics,” Sov. Phys. JETP, 58, 731–735 (1993); “On the critical behavior of $${(2+1)}$$-dimensional QED,” Phys. Atom. Nucl., 75, 890–892 (2012), arXiv: 1104.3888.

3. D. Atkinson, P. W. Johnson, and P. Maris, “Dynamical mass generation in three-dimensional QED: Improved vertex function,” Phys. Rev. D, 42, 602–609 (1990); V. P. Gusynin, A. H. Hams, and M. Reenders, “($$2+1$$)-Dimensional QED with dynamically massive fermions in vacuum polarization,” Phys. Rev. D, 53, 2227–2235 (1996); P. Maris, “Influence of the full vertex and vacuum polarization on the fermion propagator in $$(2+1)$$-dimensional QED,” Phys. Rev. D, 54, 4049–4058 (1996); V. P. Gusynin and M. Reenders, “Infrared cutoff dependence of the critical flavor number in three-dimensional QED,” Phys. Rev. D, 68, 025017, 5 pp. (2003); C. S. Fischer, R. Alkofer, T. Dahm, P. Maris, “Dynamical chiral symmetry breaking in unquenched QED$$_3$$,” Phys. Rev. D, 70, 073007, 20 pp. (2004); M. R. Pennington, D. Walsh, “Masses from nothing. A non-perturbative study of QED$$_3$$,” Phys. Lett. B, 253, 246–251 (1991).

4. V. Gusynin, P. Pyatkovskiy, “Critical number of fermions in three-dimensional QED,” Phys. Rev. D, 94, 125009, 14 pp. (2016); A. V. Kotikov, V. I. Shilin, S. Teber, “Critical behavior of $$(2+1)$$-dimensional QED: $$1/N_{f}$$ corrections in the Landau gauge,” Phys. Rev. D, 94, 056009, 6 pp. (2016); Erratum, 99, 119901, 2 pp. (2019); A. Kotikov, S. Teber, “Critical behavior of ($$2+1$$)-dimensional QED: $$1/N_{f}$$ corrections in an arbitrary nonlocal gauge,” Phys. Rev. D, 94, 114011, 9 pp. (2016); Erratum, 99, 059902, 5 pp. (2019); “Critical behavior of $$(2+1)$$-dimensional QED: $$1/N$$ expansion,” Particles, 3, 345–354 (2020).

5. N. Karthik and R. Narayanan, “Numerical determination of monopole scaling dimension in parity- invariant three-dimensional noncompact QED,” Phys. Rev. D, 100, 054514, 10 pp. (2019).

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