Variational Solution of the Gross–Neveu Model: Finite N and Renormalization
1997 ◽
Vol 12
(19)
◽
pp. 3307-3334
◽
Keyword(s):
We show how to perform systematically improvable variational calculations in the O(2N) Gross–Neveu model for generic N, in such a way that all infinities usually plaguing such calculations are accounted for in a way compatible with the perturbative renormalization group. The final point is a general framework for the calculation of nonperturbative quantities like condensates, masses, etc., in an asymptotically free field theory. For the Gross–Neveu model, the numerical results obtained from a "two-loop" variational calculation are in a very good agreement with exact quantities down to low values of N.
2011 ◽
Vol 44
(49)
◽
pp. 495001
◽
Keyword(s):
2011 ◽
Vol 109
(23-24)
◽
pp. 2813-2822
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2003 ◽
Vol 15
(05)
◽
pp. 491-558
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2000 ◽
Vol 103
(2)
◽
pp. 393-410
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1989 ◽
Vol 04
(27)
◽
pp. 2595-2607
◽
1993 ◽
Vol 08
(23)
◽
pp. 4031-4053
Keyword(s):