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Finally, we study the Gross\u2013Neveu model with a VSR mass in the large N limit uncovering a new phase of the model.<\/jats:p>","DOI":"10.3390\/axioms14060441","type":"journal-article","created":{"date-parts":[[2025,6,4]],"date-time":"2025-06-04T08:51:04Z","timestamp":1749027064000},"page":"441","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Very Special Relativity Models: Infrared Regularization and Loop Corrections"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2091-1325","authenticated-orcid":false,"given":"Jorge","family":"Alfaro","sequence":"first","affiliation":[{"name":"Facultad de F\u00edsica, Pontificia Universidad Cat\u00f3lica de Chile, Santiago 7820436, Chile"}]}],"member":"1968","published-online":{"date-parts":[[2025,6,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Langacker, P. (2010). 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