| Autor: |
Vieira, William C., Carvalho, Paulo R. S. |
| Rok vydání: |
2015 |
| Předmět: |
|
| Zdroj: |
Europhys. Lett. 108, 21001 (2014) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1209/0295-5075/108/21001 |
| Popis: |
We calculate the critical exponents for Lorentz-violating O($N$) $\lambda\phi^{4}$ scalar field theories by using two independent methods. In the first situation we renormalize a massless theory by utilizing normalization conditions. An identical task is fulfilled in the second case in a massive version of the same theory, previously renormalized in the BPHZ method in four dimensions. We show that although the renormalization constants, the $\beta$ and anomalous dimensions acquire Lorentz-violating quantum corrections, the outcome for the critical exponents in both methods are identical and furthermore they are equal to their Lorentz-invariant counterparts. Finally we generalize the last two results for all loop levels and we provide symmetry arguments for justifying the latter. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
