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Renormalization on noncommutative torus

D'ascanio, Daniela et al · Springer · 2016

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Author / responsible party
D'ascanio, Daniela et al
Publisher
Springer
Year
2016
ISSN
1434-6044
ISSN
1434-6044
Language
English

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Summary

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We study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ. Fil: D'ascanio, Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina Fil: González Pisani, Pablo Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina

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APA 7

D'ascanio, D. E. A. (2016). Renormalization on noncommutative torus. http://hdl.handle.net/11336/71573

MLA

D'ascanio, Daniela et al. "Renormalization on noncommutative torus." 2016. http://hdl.handle.net/11336/71573.

Chicago

D'ascanio, Daniela et al. 2016. "Renormalization on noncommutative torus.". http://hdl.handle.net/11336/71573.

Harvard

D'ascanio, D. E. A. 2016, Renormalization on noncommutative torus, Springer, available at: http://hdl.handle.net/11336/71573 [Accessed 7 Aug. 2026].

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Resource details

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Title
Renormalization on noncommutative torus
Author / contributors
D'ascanio, Daniela et al
Publisher
Springer
Publication year
2016
ISSN
1434-6044
ISSN
1434-6044
Language
English

Subjects

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NONCOMMUTATIVE; RENORMALIZATION; https://purl.org/becyt/ford/1.3; https://purl.org/becyt/ford/1
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