146 citations · 790 across the 27 of their papers we have counts for
28 papers
Quantum unitary dynamics of a charged fermionic field and Schwinger effect
Álvaro Álvarez-Domínguez, Luis J. Garay, David García-Heredia +1
In quantum field theory, particle creation occurs, in general, when an intense external field, such as an electromagnetic field, breaks time translational invariance. This leads to…
Non-oscillatory power spectrum from States of Low Energy in kinetically dominated early universes
Mercedes Martín-Benito, Rita B. Neves, Javier Olmedo
Recently, States of Low Energy (SLEs) have been proposed as viable vacuum states of primordial perturbations within Loop Quantum Cosmology (LQC). In this work we investigate the ef…
States of Low Energy in bouncing inflationary scenarios in Loop Quantum Cosmology
Mercedes Martín-Benito, Rita B. Neves, Javier Olmedo
In generic Friedmann-Lemaître-Robertson-Walker spacetimes, States of Low Energy (SLEs) are defined to minimize the regularized energy density smeared along the time-like curve of a…
The Effect of a positive cosmological constant on the bounce of Loop Quantum Cosmology
Mercedes Martín-Benito, Rita B. Neves
We provide an analytical solution to the quantum dynamics of a flat Friedmann-Lemaître- Robertson-Walker model with a massless scalar field in the presence of a small and positive…
Unitary quantization of a charged scalar field and Schwinger effect
Luis J. Garay, Alberto García Martín-Caro, Mercedes Martín-Benito
Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the…
Solvable Loop Quantum Cosmology: domain of the volume observable and semiclassical states
Mercedes Martín-Benito, Rita B. Neves
The dynamics of a flat Friedmann-Lemaître-Robertson-Walker model minimally coupled to a massless scalar field has been intensively studied in the context of Loop Quantum Cosmology.…
On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology
Jerónimo Cortez, Ilda Inácio Rodrigues, Mercedes Martín-Benito +1
The Fock quantization of free fields propagating in cosmological backgrounds is in general not unambiguously defined due to the non-stationarity of the spacetime. For the case of a…
Fermions in Hybrid Loop Quantum Cosmology
Beatriz Elizaga Navascués, Mercedes Martín-Benito, Guillermo A. Mena Marugán
This work pioneers the quantization of primordial fermion perturbations in hybrid Loop Quantum Cosmology (LQC). We consider a Dirac field coupled to a spatially flat, homogeneous,…
Uniqueness of the Fock quantization of scalar fields in a Bianchi I cosmology with unitary dynamics
Jerónimo Cortez, Beatriz Elizaga Navascués, Mercedes Martín-Benito +3
The Fock quantization of free scalar fields is subject to an infinite ambiguity when it comes to choosing a set of annihilation and creation operators, choice that is equivalent to…
Dirac fields in flat FLRW cosmology: Uniqueness of the Fock quantization
Jerónimo Cortez, Beatriz Elizaga Navascués, Mercedes Martín-Benito +2
We address the issue of the infinite ambiguity that affects the construction of a Fock quantization of a Dirac field propagating in a cosmological spacetime with flat compact secti…
Uniqueness of the Fock quantization of Dirac fields in 2+1 dimensions
Jerónimo Cortez, Beatriz Elizaga Navascués, Mercedes Martín-Benito +2
We study the Fock quantization of a free Dirac field in 2+1-dimensional backgrounds which are conformally ultrastatic, with a time-dependent conformal factor. As it is typical for…
Unique Fock quantization of a massive fermion field in a cosmological scenario
Jerónimo Cortez, Beatriz Elizaga Navascués, Mercedes Martín-Benito +2
It is well known that the Fock quantization of field theories in general spacetimes suffers from an infinite ambiguity, owing to the inequivalent possibilities in the selection of…
Quantum corrections to the Mukhanov-Sasaki equations
Laura Castelló Gomar, Mercedes Martín-Benito, Guillermo A. Mena Marugán
Recently, a lot of attention has been paid to the modifications of the power spectrum of primordial fluctuations caused by quantum cosmology effects. The origin of these modificati…
Unitary evolution and uniqueness of the Fock representation of Dirac fields in cosmological spacetimes
Jerónimo Cortez, Beatriz Elizaga Navascués, Mercedes Martín-Benito +2
We present a privileged Fock quantization of a massive Dirac field in a closed Friedmann-Robertson-Walker cosmology, partially selected by the criteria of invariance of the vacuum…
Modified FRW cosmologies arising from states of the hybrid quantum Gowdy model
Beatriz Elizaga Navascués, Mercedes Martín-Benito, Guillermo A. Mena Marugán
We construct approximate solutions of the hybrid quantum Gowdy cosmology with three-torus topology, linear polarization, and local rotational symmetry, in the presence of a massles…
Gauge-Invariant Perturbations in Hybrid Quantum Cosmology
Laura Castelló Gomar, Mercedes Martín-Benito, Guillermo A. Mena Marugán
We consider cosmological perturbations around homogeneous and isotropic spacetimes minimally coupled to a scalar field and present a formulation which is designed to preserve covar…
Modeling effective FRW cosmologies with perfect fluids from states of the hybrid quantum Gowdy model
Beatriz Elizaga Navascués, Mercedes Martín-Benito, Guillermo A. Mena Marugán
We employ recently developed approximation methods in the hybrid quantization of the Gowdy model with linear polarization and a massless scalar field to obtain physically int…
Approximation methods in Loop Quantum Cosmology: From Gowdy cosmologies to inhomogeneous models in Friedmann-Robertson-Walker geometries
Mercedes Martín-Benito, Daniel Martín-de Blas, Guillermo A. Mena Marugán
We develop approximation methods in the hybrid quantization of the Gowdy model with linear polarization and a massless scalar field, for the case of three-torus spatial topology. T…
Coarse graining of spin net models: dynamics of intertwiners
Bianca Dittrich, Mercedes Martín-Benito, Erik Schnetter
Spin foams are models of quantum gravity and therefore quantum space time. A key open issue is to determine the possible continuum phases of these models. Progress on this issue ha…
Inclusion of matter in inhomogeneous loop quantum cosmology
Daniel Martín-de Blas, Mercedes Martín-Benito, Guillermo A. Mena Marugán
We study the hybrid quantization of the linearly polarized Gowdy model with a massless scalar field with the same symmetries as the metric. For simplicity, we quantize its re…
Group theoretical Quantization of Isotropic Loop Cosmology
Etera R. Livine, Mercedes Martín-Benito
We achieve a group theoretical quantization of the flat Friedmann-Robertson-Walker model coupled to a massless scalar field adopting the improved dynamics of loop quantum cosmology…
Classical Setting and Effective Dynamics for Spinfoam Cosmology
Etera R. Livine, Mercedes Martín-Benito
We explore how to extract effective dynamics from loop quantum gravity and spinfoams truncated to a finite fixed graph, with the hope of modeling symmetry-reduced gravitational sys…
Loop quantum cosmology of the Bianchi I model: complete quantization
M Martín-Benito, L J Garay, G A Mena Marugán +1
We complete the canonical quantization of the vacuum Bianchi I model within the improved dynamics scheme of loop quantum cosmology, characterizing the Hilbert structure of the phys…
Introduction to Loop Quantum Cosmology
Kinjal Banerjee, Gianluca Calcagni, Mercedes Martín-Benito
This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective dynamics.