109 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Nacional Autónoma de MéxicoMX91 papers
- Universidad Michoacana de San Nicolás de HidalgoMX18 papers
- Pennsylvania State UniversityUS15 papers
- Universidad de MoreliaMX5 papers
- Tohoku UniversityJP4 papers
- University of CambridgeGB3 papers
- University of the WitwatersrandZA3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Christian-Albrechts-Universität zu KielDE2 papers
- Graz University of TechnologyAT2 papers
- Institute of Mathematical SciencesIN2 papers
- King Abdulaziz UniversitySA2 papers
14 papers · 1 filter
On equal values of power sums of arithmetic progressions
A. Bazsó, D. Kreso, F. Luca +1
In this paper we consider the Diophantine equation \begin{align*}b^k +\left(a+b\right)^k &+ \cdots + \left(a\left(x-1\right) + b\right)^k=\\ &=d^l + \left(c+d\right)^l + \cdots + \…
Hamiltonian and Noether charges in first order gravity
Alejandro Corichi, Irais Rubalcava-Garcia, Tatjana Vukasinac
We consider gravity in four dimensions in the vielbein formulation, where the fundamental variables are a tetrad and a SO(3,1) connection . We start with the most general ac…
Multisymplectic effective General Boundary Field Theory
Mona Arjang, José A. Zapata
The transfer matrix in lattice field theory connects the covariant and the initial data frameworks; in spin foam models, it can be written as a composition of elementary cellular a…
A diagrammatic approach to Kronecker squares
Ernesto Vallejo
In this paper we apply a method of Robinson and Taulbee for computing Kronecker coefficients together with other ingredients and show that the multiplicity of each component in a K…
Inflationary Attractors and their Measures
Alejandro Corichi, David Sloan
Several recent misconceptions about the measure problem in inflation and the nature of inflationary attractors are addressed. We show that within the Hamiltonian system of flat Fri…
Multiplicative decomposition of arithmetic progressions in prime fields
M. Z. Garaev, S. V. Konyagin
We prove that there exists an absolute constant such that if an arithmetic progression $\cP$ modulo a prime number does not contain zero and has the cardinality less than…
Kloosterman sums in residue rings
J. Bourgain, M. Z. Garaev
In the present paper, we generalize some of the results on Kloosterman sums proven in \cite{BG} for prime moduli to general moduli. This requires to establish the corresponding add…
Loop quantum cosmology of k=1 FLRW: Effects of inverse volume corrections
Alejandro Corichi, Asieh Karami
We consider the k=1 Friedman-Lemaitre-Robertson-Walker (FLRW) model within loop quantum cosmology (LQC), from the perspective of the two available quantization prescriptions. We fo…
Chiral extensions of chiral polytopes
Gabe Cunningham, Daniel Pellicer
Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K. Furthermore, P is finite whenever K is fini…
Towards state locality in quantum field theory: free fermions
Robert Oeckl
Hilbert spaces of states can be constructed in standard quantum field theory only for infinitely extended spacelike hypersurfaces, precluding a more local notion of state. In fact,…
Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions
Noe Barcenas, Jesus Espinoza, Bernardo Uribe +1
We use a spectral sequence developed by Graeme Segal in order to understand the twisted G-equivariant K-theory for proper and discrete actions. We show that the second page of this…
A local true Hamiltonian for the CGHS model in new variables
Saeed Rastgoo
Following our previous work, a complete classical solution of the CGHS model in Hamiltonian formulation in new variables is given. We preform a series of analyses and transformatio…
Quantum field theory on timelike hypersurfaces in Rindler space
Daniele Colosi, Dennis Rätzel
The general boundary formulation of quantum field theory is applied to a massive scalar field in two dimensional Rindler space. The field is quantized according to both the Schrödi…
Loop Quantum Cosmology
Ivan Agullo, Alejandro Corichi
This Chapter provides an up to date, pedagogical review of some of the most relevant advances in loop quantum cosmology. We review the quantization of homogeneous cosmological mode…