| dc.creator | Franco, Daniel H. T. | |
| dc.date | 2018-10-10T16:29:36Z | |
| dc.date | 2018-10-10T16:29:36Z | |
| dc.date | 2014-05-07 | |
| dc.date.accessioned | 2023-09-27T21:50:58Z | |
| dc.date.available | 2023-09-27T21:50:58Z | |
| dc.identifier | 15729656 | |
| dc.identifier | http://dx.doi.org/10.1007/s11040-014-9146-5 | |
| dc.identifier | http://www.locus.ufv.br/handle/123456789/22231 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8967046 | |
| dc.description | Recently, Hořava (Phys. Rev. D. 79, 084008, 2009) proposed a theory of gravity in 3+1 dimensions with anisotropic scaling using the traditional framework of quantum field theory (QFT). Such an anisotropic theory of gravity, characterized by a dynamical critical exponent z, has proven to be power-counting renormalizable at a z=3 Lifshitz Point. In the present article, we develop a mathematically precise version of power-counting theorem in Lorentz violating theories and apply this to the Hořava-Lifshitz (scalar field) models in configuration space. The analysis is performed under the light of the systematic use of the concept of extension of homogeneous distributions, a concept tailor-made to address the problem of the ultraviolet renormalization in QFT. This becomes particularly transparent in a Lifshitz-type QFT. In the specific case of the ϕ44-theory, we show that is sufficient to take z=3 in order to reach the ultraviolet finiteness of the S-matrix in all orders. | |
| dc.format | pdf | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Mathematical Physics, Analysis and Geometry | |
| dc.relation | v. 17, n. 1– 2, p. 139– 150, jun. 2014 | |
| dc.rights | Springer Nature Switzerland AG. | |
| dc.subject | Lifshitz-type theory | |
| dc.subject | Renormalization | |
| dc.subject | Homogeneous distributions | |
| dc.title | On the power-counting renormalizability of a Lifshitz-type QFT in configuration space | |
| dc.type | Artigo | |
