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• W1996908351 abstract "We introduce an extension of a variationally optimized perturbation method, by combining it with renormalization group properties in a straightforward (perturbative) form. This leads to a very transparent and efficient procedure, with a clear improvement of the nonperturbative results with respect to previous similar variational approaches. This is illustrated here by deriving optimized results for the mass gap of the $O(2N)$ Gross-Neveu model, compared with the exactly known results for arbitrary $N$. At large $N$, the exact result is reproduced already at the very first order of the modified perturbation using this procedure. For arbitrary values of $N$, using the original perturbative information only known at two-loop order, we obtain a controllable percent accuracy or less, for any $N$ value, as compared with the exactly known result for the mass gap from the thermodynamical Bethe Ansatz. The procedure is very general and can be extended straightforwardly to any renormalizable Lagrangian model, being systematically improvable provided that a knowledge of enough perturbative orders of the relevant quantities is available." @default.
• W1996908351 created "2016-06-24" @default.
• W1996908351 creator A5059878691 @default.
• W1996908351 creator A5084266788 @default.
• W1996908351 date "2010-06-17" @default.
• W1996908351 modified "2023-10-15" @default.
• W1996908351 title "Renormalization group improved optimized perturbation theory: Revisiting the mass gap of the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>O</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mi>N</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>Gross-Neveu model" @default.
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• W1996908351 doi "https://doi.org/10.1103/physrevd.81.125012" @default.
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