XPyhic is a professional computational application designed for theoretical physics research. It integrates core mathematical tools and computational methods from quantum field theory into a single, elegant mobile workspace — helping students, researchers, and enthusiasts explore fundamental physics with clarity and precision. Built with a refined dark-themed interface and intuitive TabBar navigation, XPyhic delivers six specialized modules, each focused on a major area of modern field theory: Regular Quantization Explore the foundations of quantum mechanics through canonical quantization. Compute commutation relations, annihilation and creation operator matrices, Hamiltonian expressions, and energy level spectra for the harmonic oscillator — with interactive parameter controls and real-time numerical results. Path Integral Perform Feynman path integral calculations including propagator amplitudes, partition functions, and classical actions. Visualize quantum paths with Monte Carlo–sampled Feynman trajectories, bridging abstract formalism and intuitive graphical representation. Renormalization Group Flow Analyze scaling behavior in quantum field theory with one-loop beta function calculations. Simulate coupling constant flow under RG equations for φ⁴ theory, QED, and Yang–Mills models, with dynamic flow charts that reveal fixed points and asymptotic freedom. Gauge Theory Study U(1) gauge field theory with tools for gauge transformations, electromagnetic field strength tensors F_μν, and covariant derivative operations. Verify gauge invariance and inspect transformed field components in real time. Topological QFT Investigate topological invariants across polyhedral and manifold structures. Calculate Euler characteristics, Betti numbers, Chern numbers, and genus — with interactive graph visualizations of vertices, edges, and topological connectivity. Field Calculator Compute Lagrangian density components, Noether currents, stress-energy tensors, and equations of motion for scalar field theory. Adjust mass, coupling constants, field values, and spacetime dimension to explore how field-theoretic quantities respond. Whether you are reviewing coursework, preparing for graduate study, or conducting exploratory calculations in theoretical physics, XPyhic brings rigorous mathematical machinery into a beautifully designed, portable research companion.
