Nota de FísicaPublicado
The Bekenstein Bound in Strongly Coupled Scalar Field Theory
G. Menezes; T. Santos Magalhães
Dados da publicação
- Autores
- G. Menezes; T. Santos Magalhães
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 28/09/2009
- Descrição
- We discuss the $O(N)$ self-interacting scalar field theory, in the strong-coupling regime and also in the limit of large $N$. Considering that the system is in thermal equilibrium with a reservoir at temperature $\beta^{\,-1}$, we assume the presence of macroscopic boundaries confining the field in a hypercube of side $L$. Using the strong-coupling perturbative expansion, we generalize previous results, i.e., we obtain the renormalized mean energy $E$ and entropy $S$ for the system in first order of the strong-coupling perturbative expansion, presenting an analytical proof that the specific entropy also satisfies in some situations a quantum bound. When considering the low temperature behavior of the specific entropy, the sign of the renormalized zero-point energy can invalidate this quantum bound. If the renormalized zero point-energy is a positive quantity, at intermediate temperatures and in the low temperature limit, there is a quantum bound.
- Ano
- 2009
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não