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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| Published in | Nuclear physics. B Vol. 359; no. 2; pp. 429 - 440 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
05.08.1991
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. |
| Author | Gandhi, Sunil K. Jones, H.F. Pinto, Marcus B. |
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| Cites_doi | 10.1016/0370-2693(91)90141-C 10.1016/0920-5632(90)90608-W 10.1016/0370-2693(90)92045-K 10.1016/0370-2693(88)91447-5 |
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| Keywords | Series expansion Lagrangian Gross Neveu model Quantum field theory |
| Language | English |
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| References | Jones (BIB11) 1990; 16 Bardeen, Moshe (BIB7) 1983; D28 Stevenson, Stancu (BIB9) 1990; D42 Barnes, Ghandour (BIB5) 1980; D22 Jones, Monoyios, Stevenson (BIB6) 1989; A4 Bender (BIB3) 1988; D37 Jones, Moshe (BIB10) 1990; B234 Duncan, Moshe (BIB1) 1988; B215 Okopińska (BIB2) 1987; D35 Stevenson (BIB4) 1984; D30 Coleman (BIB13) 1985 Jackiw (BIB12) 1974; D9 Stevenson, Alles, Tarrach (BIB8) 1987; D35 Coleman, Jackiw, Politzer (BIB14) 1974; D10 Cooper, Moshe (BIB15) 1991; B259 Barnes (10.1016/0550-3213(91)90067-8_BIB5) 1980; D22 Cooper (10.1016/0550-3213(91)90067-8_BIB15) 1991; B259 Jones (10.1016/0550-3213(91)90067-8_BIB11) 1990; 16 Jackiw (10.1016/0550-3213(91)90067-8_BIB12) 1974; D9 Stevenson (10.1016/0550-3213(91)90067-8_BIB4) 1984; D30 Duncan (10.1016/0550-3213(91)90067-8_BIB1) 1988; B215 Coleman (10.1016/0550-3213(91)90067-8_BIB13) 1985 Stevenson (10.1016/0550-3213(91)90067-8_BIB8) 1987; D35 Okopińska (10.1016/0550-3213(91)90067-8_BIB2) 1987; D35 Stevenson (10.1016/0550-3213(91)90067-8_BIB6_2) 1981; D23 Jones (10.1016/0550-3213(91)90067-8_BIB6_1) 1989; A4 Bardeen (10.1016/0550-3213(91)90067-8_BIB7) 1983; D28 Stevenson (10.1016/0550-3213(91)90067-8_BIB9) 1990; D42 Coleman (10.1016/0550-3213(91)90067-8_BIB14) 1974; D10 Bender (10.1016/0550-3213(91)90067-8_BIB3) 1988; D37 Jones (10.1016/0550-3213(91)90067-8_BIB10) 1990; B234 |
| References_xml | – volume: D10 start-page: 2491 year: 1974 ident: BIB14 publication-title: Phys. Rev. contributor: fullname: Politzer – volume: D42 start-page: 2710 year: 1990 ident: BIB9 publication-title: Phys. Rev. contributor: fullname: Stancu – volume: B215 start-page: 352 year: 1988 ident: BIB1 publication-title: Phys. Lett. contributor: fullname: Moshe – volume: D37 start-page: 1472 year: 1988 ident: BIB3 publication-title: Phys. Rev. contributor: fullname: Bender – volume: D9 start-page: 1686 year: 1974 ident: BIB12 publication-title: Phys. Rev. contributor: fullname: Jackiw – volume: B234 start-page: 492 year: 1990 ident: BIB10 publication-title: Phys. Lett. contributor: fullname: Moshe – volume: B259 start-page: 101 year: 1991 ident: BIB15 publication-title: Phys. Lett. contributor: fullname: Moshe – volume: 16 start-page: 592 year: 1990 ident: BIB11 publication-title: Nucl. Phys. B. (Proc. Suppl.) contributor: fullname: Jones – volume: D30 start-page: 1712 year: 1984 ident: BIB4 publication-title: Phys. Rev. contributor: fullname: Stevenson – volume: D35 start-page: 1835 year: 1987 ident: BIB2 publication-title: Phys. Rev. contributor: fullname: Okopińska – volume: D22 start-page: 924 year: 1980 ident: BIB5 publication-title: Phys. Rev. contributor: fullname: Ghandour – volume: A4 start-page: 1734 year: 1989 ident: BIB6 publication-title: Int. J. Mod. Phys. contributor: fullname: Stevenson – volume: D28 start-page: 1372 year: 1983 ident: BIB7 publication-title: Phys. Rev. contributor: fullname: Moshe – year: 1985 ident: BIB13 article-title: Aspects of symmetry contributor: fullname: Coleman – volume: D35 start-page: 2407 year: 1987 ident: BIB8 publication-title: Phys. Rev. contributor: fullname: Tarrach – volume: B259 start-page: 101 year: 1991 ident: 10.1016/0550-3213(91)90067-8_BIB15 publication-title: Phys. Lett. doi: 10.1016/0370-2693(91)90141-C contributor: fullname: Cooper – volume: D42 start-page: 2710 year: 1990 ident: 10.1016/0550-3213(91)90067-8_BIB9 publication-title: Phys. Rev. contributor: fullname: Stevenson – volume: 16 start-page: 592 year: 1990 ident: 10.1016/0550-3213(91)90067-8_BIB11 publication-title: Nucl. Phys. B. (Proc. Suppl.) doi: 10.1016/0920-5632(90)90608-W contributor: fullname: Jones – volume: B234 start-page: 492 year: 1990 ident: 10.1016/0550-3213(91)90067-8_BIB10 publication-title: Phys. Lett. doi: 10.1016/0370-2693(90)92045-K contributor: fullname: Jones – volume: D22 start-page: 924 year: 1980 ident: 10.1016/0550-3213(91)90067-8_BIB5 publication-title: Phys. Rev. contributor: fullname: Barnes – volume: A4 start-page: 1734 year: 1989 ident: 10.1016/0550-3213(91)90067-8_BIB6_1 publication-title: Int. J. Mod. Phys. contributor: fullname: Jones – volume: D35 start-page: 1835 year: 1987 ident: 10.1016/0550-3213(91)90067-8_BIB2 publication-title: Phys. Rev. contributor: fullname: Okopińska – volume: D37 start-page: 1472 year: 1988 ident: 10.1016/0550-3213(91)90067-8_BIB3 publication-title: Phys. Rev. contributor: fullname: Bender – volume: D30 start-page: 1712 year: 1984 ident: 10.1016/0550-3213(91)90067-8_BIB4 publication-title: Phys. Rev. contributor: fullname: Stevenson – year: 1985 ident: 10.1016/0550-3213(91)90067-8_BIB13 contributor: fullname: Coleman – volume: D9 start-page: 1686 year: 1974 ident: 10.1016/0550-3213(91)90067-8_BIB12 publication-title: Phys. Rev. contributor: fullname: Jackiw – volume: D23 start-page: 2916 year: 1981 ident: 10.1016/0550-3213(91)90067-8_BIB6_2 publication-title: Phys. Rev. contributor: fullname: Stevenson – volume: D35 start-page: 2407 year: 1987 ident: 10.1016/0550-3213(91)90067-8_BIB8 publication-title: Phys. Rev. contributor: fullname: Stevenson – volume: D10 start-page: 2491 year: 1974 ident: 10.1016/0550-3213(91)90067-8_BIB14 publication-title: Phys. Rev. contributor: fullname: Coleman – volume: D28 start-page: 1372 year: 1983 ident: 10.1016/0550-3213(91)90067-8_BIB7 publication-title: Phys. Rev. contributor: fullname: Bardeen – volume: B215 start-page: 352 year: 1988 ident: 10.1016/0550-3213(91)90067-8_BIB1 publication-title: Phys. Lett. doi: 10.1016/0370-2693(88)91447-5 contributor: fullname: Duncan |
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| Snippet | 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... |
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| SubjectTerms | Classical and quantum physics: mechanics and fields Exact sciences and technology Physics Theory of quantized fields |
| Title | The δ-expansion in the large- N limit |
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