We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory, $$\varphi ^r_n$$ , where r denotes the power of the interaction term and $$n = s + 1$$ where s is the spatial dimension and 1 adds imaginary time, such that $$r = n = 4$$ can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime.
{ "_oai": { "updated": "2022-10-21T18:31:25Z", "id": "oai:repo.scoap3.org:72948", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica, Universit\u00e0 di Trieste, Strada Costiera 11, Grignano, Trieste, 34151, Italy", "organization": "Universit\u00e0 di Trieste" } ], "surname": "Fantoni", "email": "riccardo.fantoni@posta.istruzione.it", "full_name": "Fantoni, Riccardo", "given_names": "Riccardo" }, { "affiliations": [ { "country": "USA", "value": "Department of Physics and Department of Mathematics, University of Florida, Gainesville, FL, 32611-8440, USA", "organization": "University of Florida" } ], "surname": "Klauder", "email": "klauder@ufl.edu", "full_name": "Klauder, John", "given_names": "John" } ], "titles": [ { "source": "Springer", "title": "Scaled affine quantization of $$\\varphi ^4_4$$ <math> <msubsup> <mi>\u03c6</mi> <mn>4</mn> <mn>4</mn> </msubsup> </math> in the low temperature limit" } ], "dois": [ { "value": "10.1140/epjc/s10052-022-10807-x" } ], "publication_info": [ { "page_end": "4", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "82", "artid": "s10052-022-10807-x", "year": 2022, "page_start": "1", "journal_issue": "9" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-10-21T18:30:48.689260", "source": "Springer", "method": "Springer", "submission_number": "5f09dd60516e11eda33ab6e03099cfc1" }, "page_nr": [ 4 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2022" } ], "control_number": "72948", "record_creation_date": "2022-09-28T12:30:08.761661", "_files": [ { "checksum": "md5:ee282d40ed6d608e4013934d9f25739d", "filetype": "xml", "bucket": "b80b1bdc-859c-4890-a576-2427e4879d80", "version_id": "3db50903-9cb8-4d5f-9cc4-64ddf3ea6f68", "key": "10.1140/epjc/s10052-022-10807-x.xml", "size": 13497 }, { "checksum": "md5:e47b05770ca8209630941df6eaf29263", "filetype": "pdf/a", "bucket": "b80b1bdc-859c-4890-a576-2427e4879d80", "version_id": "ac9520e4-1d70-4ae1-9e92-a4b883373ba4", "key": "10.1140/epjc/s10052-022-10807-x_a.pdf", "size": 271324 } ], "collections": [ { "primary": "European Physical Journal C" } ], "arxiv_eprints": [ { "categories": [ "hep-lat", "hep-th", "physics.comp-ph", "quant-ph" ], "value": "2203.05988" } ], "abstracts": [ { "source": "Springer", "value": "We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory, $$\\varphi ^r_n$$ <math> <msubsup> <mi>\u03c6</mi> <mi>n</mi> <mi>r</mi> </msubsup> </math> , where r denotes the power of the interaction term and $$n = s + 1$$ <math> <mrow> <mi>n</mi> <mo>=</mo> <mi>s</mi> <mo>+</mo> <mn>1</mn> </mrow> </math> where s is the spatial dimension and 1 adds imaginary time, such that $$r = n = 4$$ <math> <mrow> <mi>r</mi> <mo>=</mo> <mi>n</mi> <mo>=</mo> <mn>4</mn> </mrow> </math> can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime." } ], "imprints": [ { "date": "2022-09-28", "publisher": "Springer" } ] }