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Mathematical Physics

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Research Frontiers in Quantum Field Theory Renormalization

Studies mathematical techniques for removing infinities in quantum field theory calculations through rigorous renormalization group methods.

Asymptotic Safety and the Ultraviolet Fixed Point Structure
Resurgence Theory in Non-Perturbative Quantum Field Dynamics
Functional Renormalization Group Beyond Mean Field Approximations
Anomalous Dimensions and Conformal Bootstrap Bounds
Renormalization in Topological Quantum Field Theories
Causal Dynamical Triangulation and Continuum Limits
Holographic Renormalization and Boundary Conformal Field Theories
Wilsonian Effective Actions in Strongly Coupled Regimes
Renormalization Group Flows in Non-Commutative Geometries
Scattering Amplitudes and Modern Renormalization Schemes

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