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- W2525007466 abstract "Dynamical chiral symmetry breaking ($mathrm{D}ensuremath{chi}mathrm{SB}$) 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, ${N}_{c}(ensuremath{xi})$, where $ensuremath{xi}$ is the gauge-fixing parameter, which is such that $mathrm{D}ensuremath{chi}mathrm{SB}$ takes place for $N<{N}_{c}(ensuremath{xi})$. Neglecting the weak gauge-dependent terms yields ${N}_{c}=2.8469$, while, in the general case, it is found that ${N}_{c}(1)=3.0084$ in the Feynman gauge, ${N}_{c}(0)=3.0844$ in the Landau gauge, and ${N}_{c}(2/3)=3.0377$ in the $ensuremath{xi}=2/3$ gauge where the leading order fermion wave function is finite. These results suggest that $mathrm{D}ensuremath{chi}mathrm{SB}$ should take place for integer values $Nensuremath{le}3$." @default.
- W2525007466 created "2016-10-07" @default.
- W2525007466 creator A5052568748 @default.
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- W2525007466 date "2016-12-12" @default.
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- W2525007466 title "Critical behavior of (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>)-dimensional QED:<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mn>1</mml:mn><mml:mo stretchy=false>/</mml:mo><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>corrections in an arbitrary nonlocal gauge" @default.
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- W2525007466 doi "https://doi.org/10.1103/physrevd.94.114011" @default.
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