Lattice Quantum Field Theory
These are papers about individual pieces of scientific work that I have
done and that are freely available for download, copy and distribution.
Some of them are either motivated by the scientific
books that I have written, or establish results used in them.
- Numerical Solution for the Mean-Field Critical
Curves of the SO(N) Polynomial Models
- On the Convergence of a Certain Class of
This one is in fact about the proposition and proof of a certain
- On the Sums of Inverse Even Powers of Zeros
of Regular Bessel Functions
This one is also about the proposition and proof of a certain mathematical
- Gaussian-Perturbative Calculations with a
Homogeneous External Source
This one is about calculations of observables on SO(N) Polynomial Models.
- Fourier Theory on the Complex Plane
This one (five, actually) presents a new point of view regarding Fourier
series and real functions.
- Low-Pass Filters, Fourier Series and Partial
This one introduces certain low-pass filters as tools for dealing with
Fourier series, in the context of boundary value problems.
- Numerical Tests of Center Series
This one presents numerical tests showing the high speed of convergence of
some center series.
- Real Functions for Physics
This one introduces a general classification of generalized real
involving the concepts of combed functions and ragged
- Complex Analysis of Real Functions
This one (seven, actually, so far) presents a new point of view
regarding the use of complex analysis to study real functions.
- Extension of the Schwarzschild Solution to
the Case of Localized Fluid Matter
This one presents a new class of solutions of the Einstein gravitational
of General Relativity, and analyses some of their
- Exact Solution of the Einstein Field
Equations for a Spherical Shell of Fluid Matter
This one presents a three-parameter family of exact solutions of the
Einstein gravitational field
equations of General Relativity, some of
which are presented explicitly and analytically, in terms
- Complete Solution of the Einstein Field
Equations for a Spherical Distribution of Polytropic Matter
This one presents a three-parameter family of almost exact solutions of
the Einstein gravitational
field equations of General Relativity, for
a polytropic gaseous fluid; a single function, that has a very
behavior, has to be determined numerically, in terms of which everything
These are older pieces of work, not published in the traditional media,
and not yet present elsewhere in this site. In most cases they are waiting
for time and oportunity for technical improvements and/or improvements in
the conceptual explanations within the text.