Loop vertex expansion for Φ2k theory in zero dimension

Vincent Rivasseau; Zhituo Wang

doi:10.1063/1.3460320

Loop vertex expansion for Φ^2k theory in zero dimension

Vincent Rivasseau^*
, Zhituo Wang

^*Corresponding author for this work

CNRS UMR 8627

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

In this paper we extend the method of loop vertex expansion to interactions with degree higher than 4. As an example we provide through this expansion an explicit proof that the free energy of φ^2k scalar theory in zero dimension is Borel-Le Roy summable of order k-1. We detail the computations in the case of a φ⁶ interaction.

Original language	English
Article number	092304
Journal	Journal of Mathematical Physics
Volume	51
Issue number	9
DOIs	https://doi.org/10.1063/1.3460320
State	Published - Sep 2010
Externally published	Yes

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10.1063/1.3460320

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AB - In this paper we extend the method of loop vertex expansion to interactions with degree higher than 4. As an example we provide through this expansion an explicit proof that the free energy of φ2k scalar theory in zero dimension is Borel-Le Roy summable of order k-1. We detail the computations in the case of a φ6 interaction.

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DO - 10.1063/1.3460320

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JO - Journal of Mathematical Physics

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Loop vertex expansion for Φ2k theory in zero dimension

Abstract

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Loop vertex expansion for Φ^2k theory in zero dimension