Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry

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dc.contributor.authorGracey, John A.
dc.date.accessioned2025-12-30T15:55:24Z
dc.date.issued2021
dc.description.abstractWe use the large 𝑁 critical point formalism to compute 𝑑-dimensional critical exponents at several orders in 1/𝑁 in an Ising Gross-Neveu universality class where the core interaction includes a Lie group generator. Specifying a particular symmetry group or taking the abelian limit of the final exponents recovers known results but also provides expressions for any Lie group or fermion representation.
dc.description.sponsorshipThis work was fully supported by a DFG Mercator Fellowship and in part by the STFC Consolidated ST/T000988/1. The graphs were drawn with the Axodraw package [6]. Computations were carried out in part using the symbolic manipulation language Form [37, 46].
dc.identifier.citationGeneralized Gross-Neveu Universality Class with Non-Abelian Symmetry. John A. Gracey. SIGMA 17 (2021), 064, 20 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.064
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 81T17; 81T18; 81V25; 82B27
dc.identifier.otherarXiv:2102.12767
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211359
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleGeneralized Gross-Neveu Universality Class with Non-Abelian Symmetry
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2021, том 17, випуск за цей рік