185 citations
- Universidad Nacional Autónoma de MéxicoMX11 papers
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7 papers · 1 filter
A note on the least totient of a residue class
M. Z. Garaev
Let be a large prime number, be any integer, be a fixed small positive quantity. Friedlander and Shparlinksi \cite{FSh} have shown that there exists a positive integer…
S-matrix at spatial infinity
Daniele Colosi, Robert Oeckl
We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and o…
Quantum bounce and cosmic recall
Alejandro Corichi, Parampreet Singh
Loop quantum cosmology predicts that, in simple models, the big bang singularity of classical general relativity is replaced by a quantum bounce. Because of the extreme physical co…
The sum-product estimate for large subsets of prime fields
M. Z. Garaev
Let be the field of a prime order It is known that for any integer one can construct a subset with such that $$ \ma…
Quantum Structure of Geometry: Loopy and fuzzy?
Alejandro Corichi, Jose A. Zapata
In any attempt to build a quantum theory of gravity, a central issue is to unravel the structure of space-time at the smallest scale. Of particular relevance is the possible defini…
Polymer Quantum Mechanics and its Continuum Limit
Alejandro Corichi, Tatjana Vukasinac, Jose A. Zapata
A rather non-standard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation has gained some attention in r…