The δ-expansion in the large- N limit

Using the linear δ-expansion we study the effective potentials of the O( N)-invariant Gross-Neveu model and ( φ a φ a ) 2 theory in the large- N limit. We show that the linear δ-expansion augmented with the optimization scheme ∂V ∂μ = 0 , where μ is an arbitrary parameter, reproduces the large- N ef...

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Bibliographic Details
Published inNuclear physics. B Vol. 359; no. 2; pp. 429 - 440
Main Authors Gandhi, Sunil K., Jones, H.F., Pinto, Marcus B.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 05.08.1991
Elsevier
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
Series expansion
Lagrangian
Gross Neveu model
Quantum field theory
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Summary:Using the linear δ-expansion we study the effective potentials of the O( N)-invariant Gross-Neveu model and ( φ a φ a ) 2 theory in the large- N limit. We show that the linear δ-expansion augmented with the optimization scheme ∂V ∂μ = 0 , where μ is an arbitrary parameter, reproduces the large- N effective potential exactly. We also show that the higher-order corrections in powers of δ which would be expected to spoil this result are zero.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(91)90067-8