João Carlos Alves Barata
CV Lattes
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Universidade de São Paulo (USP). Instituto de Física (IF) (Institutional affiliation for the last research proposal) Birthplace: Brazil
Physics degree from the University of São Paulo (1982). Master's degree in Physics from the Universidade de São Paulo (1985), PhD in Physics from Freie Universität Berlin (1989). Full professor ay the Institute of Physics osf the University of São Paulo. Works in Mathematical Physics. (Source: Lattes Curriculum)
- Topics in mathematical physics, AO.R
- Algebraic construction of models in Relativistic Quantum Field Theory and modular localization, AV.BR
Abstract
The objective of this project is to construct non-perturbative models in relativistic quantum field theory (QFT), at the level of rigor required by Mathematical Physics. By model, here, we mean a net $\calA(O)$ of operator algebras whose elements are interpreted as observables in the region$ $\calO$. The main mathematical tools employed are the modular theory of Tomita and Takesaki, non...
- Algebraic and constructive aspects of quantum field theories, AV.EXT
Abstract
The research proposal involves the use of methods of algebraic Quantum Field Theory and Local Quantum Physics in Constructive Quantum Field Theories and in the study of statistical properties if Dynamical Quantum Systems. Several related mathematical subjects also come into play, involving the study of non-commutative L^p spaces and the deformation theory of von Neumann algebras. (AU)
(Only some records are available in English at this moment)
- Introduction to the mathematical methods of quantum physics and relativity, BP.IC
Abstract
The keynote of the project consists of the enhancement of the student's formation in Physics and Mathematics, aiming to prepare him for future involvement in Mathematical and Theoretical Physics research projects. On the whole, we will seek to advance towards improving the student's knowledge on topics related to Functional Analysis, Differential Geometry, Classical Mechanics and Quantu...
- Hyperbolic equations, BP.IC
Abstract
The focus of the project is the improvement of the student's Physics and Mathematics training in order to prepare him for his future involvement in research projects in areas of Mathematical Physics and Theoretical Physics, particularly in the direction of Quantum Field Theories. In general terms, we will seek to advance the student in themes related to the Theory of Partial Differentia...
- An introduction to the mathematical methods of Theoretical Physics, BP.IC
Abstract
The project aims the improvement of the students training in Physics and Mathematics in order to prepare him for his future involvement in research projects in the areas of Mathematical and Theoretical Physics, particularly in the direction of Quantum Theories of Fields. (AU)
- Semiclassical study of eigenvalue crossings with applications to physics, BP.PD
Abstract
In our PhD thesis we studied the propagation of Wigner measures linked to solutions of the Schrödinger equation with scalar potentials presenting conical singularities and showed that they are transported by two different Hamiltonian flows, one over the bundle cotangent to the singular set and the other elsewhere in the phase space, up to a transference phenomenon between these two reg...
- Singularity theorems and energy inequalities in quantum field theories in curved space-times, BP.MS
Abstract
We will study the mathematical formulation of energy inequalities in quantum field theories in curved space-times and some of their consequences. (AU)
(Only some records are available in English at this moment)
- A search for the improvement of the coupling of gravity to matter in the Spin-foam and group field theories formalisms, BE.EP.DR
Abstract
In the context of quantum gravity, several independent approaches have been developed and they surprisingly converge to the same formalism, nowadays called Spin-foam formalism. This is a tentative co-variant formulation of transition amplitudes for quantum gravity which can be seen as a discretization of the path integral formalism introduced by Stephen Hawking, also known as sum-over-g...
| 7 / 4 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 28 / 12 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 38 / 19 | All research grants and scholarships |
| Associated processes | |
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
| Publications | 9 |
| Citations | 8 |
| Cit./Article | 0.9 |
| Data from Web of Science | |
PEDRO LAURIDSEN RIBEIRO. Conserved gravitational charges, locality and the holographic weyl anomaly: a fresh viewpoint. Brazilian Journal of Physics, v. 35, n. 4b, p. 1133-1135, Dez. 2005.
DAS, ASHOK K.; KALAUNI, PUSHPA. Supersymmetry, shape invariance and the solubility of the hypergeometric equation. MODERN PHYSICS LETTERS A, v. 30, n. 6, FEB 28 2015. Web of Science Citations: 1. (13/08090-9)
KALAUNI, PUSHPA; BARATA, J. C. A.. Role of division algebra in seven-dimensional gauge theory. MODERN PHYSICS LETTERS A, v. 30, n. 10, MAR 28 2015. Web of Science Citations: 0. (13/08090-9)
KALAUNI, PUSHPA; BARATA, J. C. A.. Reconstruction of symmetric Dirac-Maxwell equations using nonassociative algebra. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, v. 12, n. 3, MAR 2015. Web of Science Citations: 3. (13/08090-9)
DAS, ASHOK K.; KALAUNI, PUSHPA. Proper time method in de Sitter space. Physical Review D, v. 92, n. 10, NOV 23 2015. Web of Science Citations: 1. (13/08090-9)
KALAUNI, PUSHPA; KUMAR, ASHOK; BARATA, J. C. A.. Generalization of coherent state quantization in higher dimensional de Sitter space. Physical Review D, v. 92, n. 12, DEC 15 2015. Web of Science Citations: 0. (13/08090-9)
JAKEL, CHRISTIAN D.; MUND, JENS. The Haag-Kastler Axioms for the Model on the De Sitter Space. ANNALES HENRI POINCARE, v. 19, n. 3, p. 959-977, MAR 2018. Web of Science Citations: 0. (14/24522-9)
JAKEL, CHRISTIAN D.; MUND, JENS. Canonical interacting quantum fields on two-dimensional de Sitter space. Physics Letters B, v. 772, p. 786-790, SEP 10 2017. Web of Science Citations: 1. (14/24522-9)
BARATA, JOAO C. A.; BRUM, MARCOS. Wavepackets on de Sitter Spacetime. Symmetry Integrability and Geometry-Methods and Applications, v. 15, 2019. Web of Science Citations: 0. (15/02975-4)
YOKOMIZO, N.; BARATA, J. C. A.. Localizability in de Sitter space. Journal of Physics A-Mathematical and Theoretical, v. 45, n. 36, SEP 14 2012. Web of Science Citations: 2.
(References retrieved automatically from State of São Paulo Research Institutions)
CORTEZ, Daniel Augusto. Séries de Lindstedt convergentes em sistemas periódicos e quase-periódicos. 2005. Tese (Doutorado) – Instituto de Física. Universidade de São Paulo (USP). São Paulo.
OTANI, Yul. Efeitos cosmológicos induzidos por campos quantizados. 2010. Dissertação (Mestrado) - Instituto de Física. Universidade de São Paulo (USP). São Paulo.
LOPES, Pedro Tavares Paes. Uma estratégia euclidiana para o estudo do efeito Unruh. 2007. Dissertação (Mestrado) - Instituto de Física. Universidade de São Paulo (USP). São Paulo.
RIBEIRO, Pedro Lauridsen. Aspectos estruturais e dinâmicos da correspondência AdS/CFT: Uma abordagem rigorosa. 2007. Tese (Doutorado) – Instituto de Física. Universidade de São Paulo (USP). São Paulo.
CAMPOS, Lissa de Souza. Os teoremas de singularidade valem se considerarmos efeitos quânticos?. 2018. Dissertação (Mestrado) - Instituto de Física. Universidade de São Paulo (USP). São Paulo.