arXiv subjects
Publications and source records attributed to Luiz C L Botelho.
We show that Einstein gravitation theory may be understood as an effective theory of a quantum theory for the space-time implemented as a Bosonic string path integral and interacting with the fluctuating Einstein space time metric field .
We study the role of the topological homological property of a space-time with holes (a multiple connected manifold) on the formal solutions of the electromagnetic irradiation problem taking place on theses "holed" space-times. On three appendixes, additional to the bulk section 1, we also present important studies on this irradiation problem, now on others mathematical frameworks .
We study and clarify in a reduced dynamical model for QCD(SU(infinite)) (called Bollini-Giambiagi model ) , and defined by constant gauge fields Yang- Mills path integral , several concepts on the validity of the string representation for QCD (SU(infinite)) and the confinement problem
We propose a Fresnel stochastic white noise framework to analyze the stochastic nature of the Feynman paths entering on the Feynman Path Integral expression for the Feynman propagator of a particle quantum mechanically moving under a time independent potential.
We propose a Fresnel stochastic white noise framework to analyze the nature of the Feynman paths entering on the Feynman path integral expression for the Feynman propagator of aparticle quantum mechanically moving under an external electromagnetic time independent potential
We analyze on the formalism of probability measures -functional integrals on function spaces , the problem of infinities on Euclidean field theories
We propose a new path integral for QED in the presence of magnetic monopoles on the formalism of Geometric Algebra of Hestenes-Haddamard-Rodrigues written in terms of Dirac Matrices
We present several clarifying comments on the loop pace self avoiding string representation for QCD(SU(infinity)) proposed by this author along last decade
We present news path integral studies on the Polyakov Non-Critical and Nambu-Goto critical string theories and its applications to QCD SU((infinity)) interquark potential .
We study the light deflection on de-Sitter Space with negative cosmological constant
We present a set of lectures on topics of advanced calculus in one real and complex variable with several new results and proofs on the subject, specially with detailed proof-always missing in the literature - of the Cissoti explicitly integral formula conformally representing a polygon onto a disc.Besides we present-in the paper appendix-a new study embodied with a mathematical physicist perspective,on the famous Riemann conjecture on the zeros of the Zeta function, reducing its proof to a conjecture on the positivity of a numerical series.
We give a proof of the exponential uniform decay of magneto-elasticity waves in a compact medium
We present an illustrative application of the two famous mathematical theorems in differential topology in order to show the existence of periodic orbits with arbitrary given period for a class of hamiltonians .This result point out for a mathematical answer for the long standing problem of existence of Planetary Sistems around stars.
We present mathematical proofs on the existence and uniqueness of weak solutions for a special class of non linear parabolic and hyperbolic equations of mathematical physics subject to colored noise (structured turbulence) as random- initial conditions
We present a simple proof that self-avoiding fermionic strings solve formally (in a quantum mechanical sense) the QCD(U(Nc)) Loop Wave Equation written in terms of random loops
We analyse the triviality-quantum decoherence of Euclidean quantum chromodynamics in the gauge invariant sector in the presence of an external U(infinite)-flavor constant charged white noise reservoir and producing thus a proof for confinement in the Color-charge QCD through the modeling of the QCD vacuum by constant gauge fields