42 citations · 167 across the 17 of their papers we have counts for
12 papers · 1 filter
Vortex Fractional Fermion Number through Heat Kernel methods and Edge States
Sylvain Fichet, Rodrigo Fresneda, Lucas de Souza +1
Computing the vacuum expectation of fermion number operator on a soliton background is often challenging. A recent proposal in arXiv:2305.13606 simplifies this task by considering…
Edge states and the invariant
Rodrigo Fresneda, Lucas de Souza, Dmitri Vassilevich
We propose a relation between the invariant on a manifold with boundary, the invariants of edge states, and the invariant in an infinite volume limit. With the example…
Non-topological fractional fermion number in the Jackiw-Rossi model
Caio Almeida, Alberto Alonso-Izquierdo, Rodrigo Fresneda +2
We compute the vacuum fermion current in dimensional Jackiw-Rossi model by using the expansion. The current is expressed through a weighted -function with a matrix…
Soliton Fermionic number from the heat kernel expansion
A. Alonso-Izquierdo, R. Fresneda, J. Mateos Guilarte +1
We consider different methods of calculating the (fractional) fermion number of solitons based on the heat kernel expansion. We derive a formula for the localized eta function a mo…
Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
W. B. Fontana, M. C. Baldiotti, R. Fresneda +1
In this work we study a homogeneous and quasilocal Thermodynamics associated to the Schwarzschild-anti de Sitter black hole. The usual thermodynamic description is extended within…
A Hamiltonian approach for the Thermodynamics of AdS black holes
M. C. Baldiotti, R. Fresneda, C. Molina
In this work we study the Thermodynamics of D-dimensional Schwarzschild-anti de Sitter (SAdS) black holes. The minimal Thermodynamics of the SAdS spacetime is briefly discussed, hi…
A Hamiltonian approach to Thermodynamics
M. C. Baldiotti, R. Fresneda, C. Molina
In the present work we develop a strictly Hamiltonian approach to Thermodynamics. A thermodynamic description based on symplectic geometry is introduced, where all thermodynamic pr…
Photon propagation in noncommutative QED with constant external field
R. Fresneda, D. M. Gitman, A. E. Shabad
We find dispersion laws for the photon propagating in the presence of mutually orthogonal constant external electric and magnetic fields in the context of the -expanded noncommu…
Nilpotent noncommutativity and renormalization
R. Fresneda, D. M. Gitman, D. V. Vassilevich
We analyze renormalizability properties of noncommutative (NC) theories with a bifermionic NC parameter. We introduce a new 4-dimensional scalar field model which is renormalizable…
Pseudoclassical description of scalar particle in non-Abelian background and path-integral representations
R. Fresneda, D. Gitman
Path-integral representations for a scalar particle propagator in non-Abelian external backgrounds are derived. To this aim, we generalize the procedure proposed by Gitman and Schv…
Stability of a Noncommutative Jackiw-Teitelboim Gravity
D. V. Vassilevich, R. Fresneda, D. M. Gitman
We start with a noncommutative version of the Jackiw-Teitelboim gravity in two dimensions which has a linear potential for the dilaton fields. We study whether it is possible to de…
Quantization of (2+1)-spinning particles and bifermionic constraint problem
R. Fresneda, S. P. Gavrilov, D. M. Gitman +1
This work is a natural continuation of our recent study in quantizing relativistic particles. There it was demonstrated that, by applying a consistent quantization scheme to a clas…