Critical behavior of ($2+1$)-dimensional QED: $1/N_f$ corrections in an arbitrary nonlocal gauge - INSPIRE

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Critical behavior of ( $2+1$ )-dimensional QED: $1/N_f$ corrections in an arbitrary nonlocal gauge

A.V. Kotikov
(
- Dubna, JINR
)
,
S. Teber
(
- Paris, LPTHE and
- UPMC, Paris (main)
)

Sep 22, 2016

9 pages

Published in:

Phys.Rev.D 94 (2016) 11, 114011,
Phys.Rev.D 99 (2019) 5, 059902 (addendum)

Published: Dec 12, 2016

e-Print:

1902.03790 [hep-th],
1609.06912 [hep-th]

DOI:

10.1103/PhysRevD.94.114011,
10.1103/PhysRevD.99.059902 (addendum)

View in:

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Abstract: (APS)

Dynamical chiral symmetry breaking (DχSB) is studied within (2+1)-dimensional QED with N four-component fermions. The leading and next-to-leading orders of the 1/N expansion are computed exactly. The analysis is carried out in an arbitrary nonlocal gauge. Resumming the wave-function renormalization constant at the level of the gap equation yields a strong suppression of the gauge dependence of the critical fermion flavor number, Nc(ξ), where ξ is the gauge-fixing parameter, which is such that DχSB takes place for N

Note:

(v2) Accepted for publication in PRD. 8 pages, 2 figures; 2 references added. (v1) LaTeX file with feynMF package. 6 pages, 2 figures; includes Supplemental Material (3 pages). arXiv admin note: text overlap with arXiv:1605.01911

gauge: nonlocal
dimension: 3
expansion 1/N
fermion: wave function
fermion: flavor
wave function: renormalization
higher-order: 1
higher-order: 0
symmetry breaking: chiral
gauge dependence

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