Field and Particle Theory & Mathematical Physics Group

Research Group in Theoretical Physics & Applied Mathematics – PPGF/PGMAT-UFCG Linked to UFCG’s Graduate Programs in Physics (PPGF) and Mathematics (PGMAT), our group explores fundamental questions at the intersection of theoretical physics, geometry, and mathematical analysis. We combine advanced modeling, symmetry principles, and differential equations to study phenomena from classical systems to quantum and cosmological scales. Core Research Areas: - **Quantum Fields & Gravity:** Quantum effects in curved spacetime (e.g., Casimir effect in extra dimensions, Lorentz violation), brane models, and solitonic structures (gravitational dipoles, vortices), emphasizing energy regularization and observational signatures. - **Geometry & Topology in Physics:** Tensor calculus, differential geometry, and algebraic topology applied to non-Abelian theories (Yang-Mills), dualities, and integrable systems with infinite conserved quantities. - **Condensed Matter Theory:** Modeling complex systems like strange metals (SYK models) and magnetic materials, focusing on phase transitions and emergent phenomena. - **Unification & Strings:** Mathematical foundations of supersymmetry, extra-dimensional geometries, and unified theories (string theory, quantum gravity). Methods: Functional analysis, group theory, renormalization, nonlinear simulations, exact transformations (Foldy-Wouthuysen), Bogomol’nyi energy formalism, and field theory dualities. Impact: - Probing extra dimensions and Lorentz violation via high-precision experiments. - Modeling quantum materials and astrophysical systems. - Advancing unified theories mathematically (strings, quantum gravity). **Interdisciplinary Focus:** Bridging physics and mathematics to address challenges at the frontiers of knowledge, such as merging general relativity, quantum theory, and topology. Join Our Team! Interested in theoretical physics, applied math, spacetime geometry, or comp