Extensions of Noether's problem and Gelfand-Kirillov's conjecture to certain class...
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Nacl La Plata, CONICET, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires - Argentina
[2] Tomsk State Univ, Dept Phys, Tomsk 634050 - Russia
[3] Univ Fed ABC, CMCC, BR-09210180 Santo Andre, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | EUROPEAN PHYSICAL JOURNAL C; v. 76, n. 4 APR 1 2016. |
| Web of Science Citations: | 6 |
| Abstract | |
We study a self-interacting scalar phi(4) 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 theta. (AU) | |
| FAPESP's process: | 12/00333-7 - Problems in quantum mechanics and quantum field theory with strong backgrounds and in noncommutative spacetimes |
| Grantee: | Dmitri Maximovitch Guitman |
| Support Opportunities: | Research Projects - Thematic Grants |