Lorentz-breaking weighted measures as quantum field theory regulators
In this work we develop a re-formulation of quantum field theory through the more general weighted measures that the definition of quantum fields allows, and that violate explicitly the Lorentz symmetry; this approach provides finite answers for the long-live problems of the traditional formulations...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-07-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322002805 |
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| author | R. Cartas-Fuentevilla A. Mendez-Ugalde |
| author_facet | R. Cartas-Fuentevilla A. Mendez-Ugalde |
| author_sort | R. Cartas-Fuentevilla |
| collection | DOAJ |
| description | In this work we develop a re-formulation of quantum field theory through the more general weighted measures that the definition of quantum fields allows, and that violate explicitly the Lorentz symmetry; this approach provides finite answers for the long-live problems of the traditional formulations of quantum field theories, namely, smooth distributions for the field commutators that are finite a short distances, finite vacuum expectation values for the energy (without invoking normal ordering of operators), and finite fluctuations for the field operators. We shall show that the present scheme will allow us to construct an infinite family of noncommutative field theories that are compared with other formulations. Our regularization scheme breaks down for a massless field, which will be considered in future explorations. |
| first_indexed | 2024-12-12T03:50:53Z |
| format | Article |
| id | doaj.art-e3c7ef3062654462911c3c55bc2a5b87 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-12T03:50:53Z |
| publishDate | 2022-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-e3c7ef3062654462911c3c55bc2a5b872022-12-22T00:39:25ZengElsevierPhysics Letters B0370-26932022-07-01830137146Lorentz-breaking weighted measures as quantum field theory regulatorsR. Cartas-Fuentevilla0A. Mendez-Ugalde1Corresponding author.; Instituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570 Puebla Pue., MexicoInstituto de Física, Universidad Autónoma de Puebla, Apartado postal J-48, 72570 Puebla Pue., MexicoIn this work we develop a re-formulation of quantum field theory through the more general weighted measures that the definition of quantum fields allows, and that violate explicitly the Lorentz symmetry; this approach provides finite answers for the long-live problems of the traditional formulations of quantum field theories, namely, smooth distributions for the field commutators that are finite a short distances, finite vacuum expectation values for the energy (without invoking normal ordering of operators), and finite fluctuations for the field operators. We shall show that the present scheme will allow us to construct an infinite family of noncommutative field theories that are compared with other formulations. Our regularization scheme breaks down for a massless field, which will be considered in future explorations.http://www.sciencedirect.com/science/article/pii/S0370269322002805Noncommutative quantum field theoriesUltraviolet divergencesFinite vacuum expectation valuesFinite quantum field theory |
| spellingShingle | R. Cartas-Fuentevilla A. Mendez-Ugalde Lorentz-breaking weighted measures as quantum field theory regulators Physics Letters B Noncommutative quantum field theories Ultraviolet divergences Finite vacuum expectation values Finite quantum field theory |
| title | Lorentz-breaking weighted measures as quantum field theory regulators |
| title_full | Lorentz-breaking weighted measures as quantum field theory regulators |
| title_fullStr | Lorentz-breaking weighted measures as quantum field theory regulators |
| title_full_unstemmed | Lorentz-breaking weighted measures as quantum field theory regulators |
| title_short | Lorentz-breaking weighted measures as quantum field theory regulators |
| title_sort | lorentz breaking weighted measures as quantum field theory regulators |
| topic | Noncommutative quantum field theories Ultraviolet divergences Finite vacuum expectation values Finite quantum field theory |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322002805 |
| work_keys_str_mv | AT rcartasfuentevilla lorentzbreakingweightedmeasuresasquantumfieldtheoryregulators AT amendezugalde lorentzbreakingweightedmeasuresasquantumfieldtheoryregulators |