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dc.contributor.author
Benedetti, Dario
dc.contributor.author
Carrozza, Sylvain
dc.contributor.author
Gurau, Razvan
dc.contributor.author
Sfondrini, Alessandro
dc.date.accessioned
2018-02-19T12:49:22Z
dc.date.available
2018-01-25T02:51:28Z
dc.date.available
2018-02-19T12:49:22Z
dc.date.issued
2018-01
dc.identifier.other
10.1007/JHEP01(2018)003
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/234009
dc.description.abstract
We define and study various tensorial generalizations of the Gross-Neveu model in two dimensions, that is, models with four-fermion interactions and G3 symmetry, where we take either G = U(N) or G = O(N). Such models can also be viewed as two-dimensional generalizations of the Sachdev-Ye-Kitaev model, or more precisely of its tensorial counterpart introduced by Klebanov and Tarnopolsky, which is in part our motivation for studying them. Using the Schwinger-Dyson equations at large-N, we discuss the phenomenon of dynamical mass generation and possible combinations of couplings to avoid it. For the case G = U(N),we introduce an intermediate field representation and perform a stability analysis of the vacua. It turns out that the only apparently viable combination of couplings that avoids mass generation corresponds to an unstable vacuum. The stable vacuum breaks U(N)3 invariance, in contradiction with the Coleman-Mermin-Wagner theorem, but this is an artifact of the large-N expansion, similar to the breaking of continuous chiral symmetry in the chiral Gross-Neveu model.
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.subject
1/N Expansion
en_US
dc.subject
Field Theories in Lower Dimensions
en_US
dc.subject
Nonperturbative Effects
en_US
dc.subject
Renormalization Group
en_US
dc.title
Tensorial Gross-Neveu models
en_US
dc.type
Journal Article
dc.date.published
2018-01-02
ethz.journal.title
Journal of High Energy Physics
ethz.journal.issue
1
en_US
ethz.size
47 p.
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
ethz.date.deposited
2018-01-25T02:51:43Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2018-02-19T12:49:25Z
ethz.rosetta.lastUpdated
2019-02-02T14:49:47Z
ethz.rosetta.versionExported
true
ethz.COinS
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