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- W2836768617 abstract "The large $N$ expansion plays a fundamental role in quantum and statistical field theory. We show on the example of the $mathrm{O}(N)$ model that at $N=ensuremath{infty}$ its standard implementation misses some fixed points of the renormalization group in all dimensions smaller than four. These new fixed points show singularities under the form of cusps at $N=ensuremath{infty}$ in their effective potential that become a boundary layer at finite $N$. We show that they have a physical impact on the multicritical physics of the $mathrm{O}(N)$ model at finite $N$. We also show that the mechanism at play holds also for the $mathrm{O}(N)ensuremath{bigotimes}mathrm{O}(2)$ model and is thus probably generic." @default.
- W2836768617 created "2018-07-19" @default.
- W2836768617 creator A5022099224 @default.
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- W2836768617 date "2018-12-04" @default.
- W2836768617 modified "2023-10-17" @default.
- W2836768617 title "Why Might the Standard Large <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>N</mml:mi></mml:math> Analysis Fail in the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi mathvariant=normal>O</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math> Model: The Role of Cusps in Fixed Point Potentials" @default.
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- W2836768617 doi "https://doi.org/10.1103/physrevlett.121.231601" @default.
- W2836768617 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30576204" @default.
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