Renormalization of the linear σ expansion. The gross-neveu model
A recently proposed expansion interpolating between different actions S = S0+S1(σ) was previously defined and extensively studied with a finite ultraviolet cut-off. Here we study the renormalizability of this σ-expansion in the case of an exactly soluble theory, the Gross-Neveu model at N → ∞. We de...
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| Published in | Physics letters. B Vol. 234; no. 4; pp. 492 - 496 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
18.01.1990
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| Online Access | Get full text |
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| Summary: | A recently proposed expansion interpolating between different actions S = S0+S1(σ) was previously defined and extensively studied with a finite ultraviolet cut-off. Here we study the renormalizability of this σ-expansion in the case of an exactly soluble theory, the Gross-Neveu model at N → ∞. We determine the necessary renormalization conditions to all orders in σ, taking into account the renormalization group equation. A crucial role is played by the asymptotic behaviour of the bare mass parameter in the massive Gross-Neveu model. |
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| ISSN: | 0370-2693 1873-2445 |
| DOI: | 10.1016/0370-2693(90)92045-K |