Exact renormalization group and Φ-derivable approximations

Jean Paul Blaizot; Jan M. Pawlowski; Urko Reinosa

doi:10.1016/j.physletb.2010.12.058

Exact renormalization group and Φ-derivable approximations

Jean Paul Blaizot
, Jan M. Pawlowski
, Urko Reinosa

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

Abstract

We show that the so-called Φ-derivable approximations can be combined with the exact renormalization group to provide efficient non-perturbative approximation schemes. On the one hand, the Φ-derivable approximations allow for a simple truncation of the infinite hierarchy of the renormalization group flow equations. On the other hand, the flow equations turn the non-linear equations that derive from the Φ-derivable approximations into an initial value problem, offering new practical ways to solve these equations.

Original language	English
Pages (from-to)	523-528
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	696
Issue number	5
DOIs	https://doi.org/10.1016/j.physletb.2010.12.058
Publication status	Published - 14 Feb 2011

Keywords

2PI effective action
Exact renormalization group

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10.1016/j.physletb.2010.12.058

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title = "Exact renormalization group and Φ-derivable approximations",

abstract = "We show that the so-called Φ-derivable approximations can be combined with the exact renormalization group to provide efficient non-perturbative approximation schemes. On the one hand, the Φ-derivable approximations allow for a simple truncation of the infinite hierarchy of the renormalization group flow equations. On the other hand, the flow equations turn the non-linear equations that derive from the Φ-derivable approximations into an initial value problem, offering new practical ways to solve these equations.",

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AU - Blaizot, Jean Paul

AU - Pawlowski, Jan M.

AU - Reinosa, Urko

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Y1 - 2011/2/14

N2 - We show that the so-called Φ-derivable approximations can be combined with the exact renormalization group to provide efficient non-perturbative approximation schemes. On the one hand, the Φ-derivable approximations allow for a simple truncation of the infinite hierarchy of the renormalization group flow equations. On the other hand, the flow equations turn the non-linear equations that derive from the Φ-derivable approximations into an initial value problem, offering new practical ways to solve these equations.

AB - We show that the so-called Φ-derivable approximations can be combined with the exact renormalization group to provide efficient non-perturbative approximation schemes. On the one hand, the Φ-derivable approximations allow for a simple truncation of the infinite hierarchy of the renormalization group flow equations. On the other hand, the flow equations turn the non-linear equations that derive from the Φ-derivable approximations into an initial value problem, offering new practical ways to solve these equations.

KW - 2PI effective action

KW - Exact renormalization group

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M3 - Article

AN - SCOPUS:79251601134

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 5

ER -

Exact renormalization group and Φ-derivable approximations

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Keywords

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