In this work a generalization of the Bogoliubov transformation is developed to describe a space compactified fermionic field. The method is the fermion counterpart of the formalism introduced earlier for bosons (052101), and is based on the thermofield dynamics approach. We analyze the energy-momentum tensor for the Casimir effect of a free massless fermion system in a N-dimensional box in cont...

According to Wick’s theorem, the second order self-energy corrections of hadrons in the hot and dense nuclear matter are calculated. Furthermore, the Feynman rules are summarized, and an effective formulation on quantum hadrodynamics at finite temperatures and densities is evaluated. As the strong couplings between nucleons are considered, the self-consistency of this method is discussed in the...

We present the Hamiltonian, quasilocal energy, and angular momentum for a spacetime region spatially bounded by two timelike surfaces. The results are appplied to the particular case of a spacetime representing an eternal black hole. It is shown that in the case when the boundaries are located in two different wedges of the Kruskal diagram, the Hamiltonian is of the form H = H+−H−, where H+ and...

In this paper, we derive a general formulation for thermal Lie superalgebras motivated by thermofield dynamics formalism (TFD). Particularly, construct the Poincaré superalgebras. The operators in TFD are defined through doubling of degrees freedom system and it can be related to Hopf algebras. way, explore notion quantum group associated with these show noncommutativity scenario. Furthermore, ...

A bstract In this paper, we consider the evolution of thermofield-double state under double-traced operator that connects its both sides. We will compute entanglement entropy resulting using replica trick for large N field theory. To leading order, it can be computed from two-point function theory, where, in CFTs, is fixed by symmetries. Due to exponential decay interaction, saturates about the...