Flowing in Group Field Theory Space: a Review

We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension [...]. More precisely, we focus on GFTs with so-called closure co...

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Published inSymmetry, integrability and geometry, methods and applications Vol. 12
Main Author Carrozza, Sylvain
Format Journal Article
LanguageEnglish
Published Kiev National Academy of Sciences of Ukraine 01.01.2016
National Academy of Science of Ukraine
Subjects
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Physics
group field theory
field theory: group
renormalizable
renormalization
model: tensor
quantum field theory
lattice field theory
matrix model
quantum gravity
renormalization group: flow
spin: foam
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ISSN1815-0659
1815-0659
DOI10.3842/SIGMA.2016.070

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Abstract We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension [...]. More precisely, we focus on GFTs with so-called closure constraint, which are closely related to lattice gauge theories and quantum gravity spin foam models. With the help of recent tensor model tools, a rich landscape of renormalizable theories has been unravelled. We review our current understanding of their renormalization group flows, at both perturbative and non-perturbative levels. [ProQuest: [...] denotes formulae omitted.]
AbstractList We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension $d \geq 3$. More precisely, we focus on GFTs with so-called closure constraint, which are closely related to lattice gauge theories and quantum gravity spin foam models. With the help of recent tensor model tools, a rich landscape of renormalizable theories has been unravelled. We review our current understanding of their renormalization group flows, at both perturbative and non-perturbative levels.
We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension [...]. More precisely, we focus on GFTs with so-called closure constraint, which are closely related to lattice gauge theories and quantum gravity spin foam models. With the help of recent tensor model tools, a rich landscape of renormalizable theories has been unravelled. We review our current understanding of their renormalization group flows, at both perturbative and non-perturbative levels. [ProQuest: [...] denotes formulae omitted.]
Author Carrozza, Sylvain
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Copyright Copyright National Academy of Sciences of Ukraine 2016
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Keywords group field theory
field theory: group
renormalizable
renormalization
model: tensor
quantum field theory
lattice field theory
matrix model
quantum gravity
renormalization group: flow
spin: foam
Language English
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High Energy Physics - Theory
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Title Flowing in Group Field Theory Space: a Review
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