Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Alonso, Luis Martínez"'
We analyze the emergence of classical inflationary universes in a kinetic-dominated stage using a suitable class of solutions of the Wheeler-De Witt equation with a constant potential. These solutions are eigenfunctions of the inflaton momentum opera
Externí odkaz:
http://arxiv.org/abs/2109.12037
Autor:
Medina, Elena, Alonso, Luis Martínez
Publikováno v:
Phys. Rev. D 102, 103517 (2020)
Single-field inflaton models in the kinetic dominance period admit formal solutions given by generalized asymptotic expansions called psi series. We present a method for computing psi series for the Hubble parameter as a function of the inflaton fiel
Externí odkaz:
http://arxiv.org/abs/2008.07963
We determine generalised asymptotic solutions for the inflaton field, the Hubble parameter, and the equation-of-state parameter valid during the oscillatory phase of reheating for potentials that close to their global minima behave as even monomial p
Externí odkaz:
http://arxiv.org/abs/1912.06479
Publikováno v:
J. Math. Phys. 61, 043501 (2020)
We consider separatrix solutions of the differential equations for inflaton models with a single scalar field in a zero-curvature Friedmann-Lema\^{\i}tre-Robertson-Walker universe. The existence and properties of separatrices are investigated in the
Externí odkaz:
http://arxiv.org/abs/1911.04750
Autor:
Alonso, Luis Martínez, Medina, Elena
We propose to use eigenvalue densities of unitary random matrix ensembles as mass distributions in gravitational lensing. The corresponding lens equations reduce to algebraic equations in the complex plane which can be treated analytically. We prove
Externí odkaz:
http://arxiv.org/abs/1803.03424
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 125203
The partition function of the Penner matrix model for both positive and negative values of the coupling constant can be explicitly written in terms of the Barnes G function. In this paper we show that for negative values of the coupling constant this
Externí odkaz:
http://arxiv.org/abs/1702.07230
Publikováno v:
Phys. Rev. D 94, 105010 (2016)
We give an exhaustive characterization of the complex saddle point configurations of the Gross-Witten-Wadia matrix model in the large-N limit. In particular, we characterize the cases in which the saddles accumulate in one, two, or three arcs, in ter
Externí odkaz:
http://arxiv.org/abs/1610.09948
Publikováno v:
Annals of Physics 361 (2015) 440-460
In this paper we apply results on the asymptotic zero distribution of the Laguerre polynomials to discuss generalizations of the standard large $n$ limit in the non-hermitian Penner matrix model. In these generalizations $g_n n\to t$, but the product
Externí odkaz:
http://arxiv.org/abs/1507.02386
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 315205
We present an implementation of the method of orthogonal polynomials which is particularly suitable to study the partition functions of Penner random matrix models, to obtain their explicit forms in the exactly solvable cases, and to determine the co
Externí odkaz:
http://arxiv.org/abs/1403.6943
Publikováno v:
J. Stat. Mech. (2013) P06006
This paper deals with the determination of the S-curves in the theory of non-hermitian orthogonal polynomials with respect to exponential weights along suitable paths in the complex plane. It is known that the corresponding complex equilibrium potent
Externí odkaz:
http://arxiv.org/abs/1305.3028