62 citations · 157 across the 7 of their papers we have counts for
6 papers
Symplectic Representation of the Ginzburg-Landau Theory
E. A. Reis, G. X. A. Petronilo, R. G. G. Amorim +3
In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which…
On a group-theoretical approach to the curl operator
J. Ramos, M. de Montigny, F. C. Khanna
We utilize group-theoretical methods to develop a matrix representation of differential operators that act on tensors of any rank. In particular, we concentrate on the matrix formu…
Quantum field theory on toroidal topology: algebraic structure and applications
F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson +1
The development of quantum theory on a torus has a long history, and can be traced back to the 1920s, with the attempts by Nordström, Kaluza and Klein to define a fourth spatial di…
Phase transition in the massive Gross-Neveu model in toroidal topologies
F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson +1
We use methods of quantum field theory in toroidal topologies to study the -component -dimensional massive Gross-Neveu model, at zero and finite temperature, with compactifie…
Phase transition in the 3-D massive Gross-Neveu model
F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson +1
We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary time formalism, we deriv…
Thermofield Dynamics and Casimir Effect for Fermions
H. Queiroz, J. C. da Silva, F. C. Khanna +3
A generalization of the Bogoliubov transformation is developed to describe a space compactified fermionic field. The method is the fermionic counterpart of the formalism introduced…