physics

Quantum Field Theory & Particle Physics

The framework uniting quantum mechanics and special relativity — Feynman diagram scattering amplitudes, Casimir effect vacuum forces, Lamb shift radiative corrections, vacuum fluctuations, and the running of coupling constants.

quantum field theoryQFTFeynman diagramsCasimir effectLamb shiftvacuum fluctuationsrunning couplingparticle physicsStandard Model

Quantum field theory (QFT) is the mathematical language of modern particle physics, describing every fundamental force and particle as excitations of underlying quantum fields. Born from the marriage of quantum mechanics and special relativity, QFT predicts phenomena with extraordinary precision — from the anomalous magnetic moment of the electron to the existence of antimatter. It underpins the Standard Model, our most successful theory of nature.

These simulations let you construct Feynman diagrams and compute scattering amplitudes, measure the Casimir force between conducting plates, explore the Lamb shift in hydrogen, visualize quantum vacuum fluctuations, and trace how coupling constants run with energy scale — all with interactive controls rooted in real QFT calculations.

5 interactive simulations

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Casimir Effect & Vacuum Force

Simulate the Casimir effect — explore how plate separation, area, and temperature determine the attractive force between conducting plates from quantum vacuum fluctuations

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Feynman Diagram & Scattering Amplitude

Simulate Feynman diagram scattering — explore how coupling strength, particle masses, and momentum transfer determine cross sections in quantum electrodynamics

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Lamb Shift & Radiative Corrections

Simulate the Lamb shift — explore how quantum vacuum fluctuations and radiative corrections lift the degeneracy between hydrogen energy levels

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Running Coupling Constants & Asymptotic Freedom

Simulate running coupling constants — explore how electromagnetic, weak, and strong coupling strengths change with energy scale through renormalization group flow

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Vacuum Fluctuations & Zero-Point Energy

Simulate quantum vacuum fluctuations — explore how field mode frequency, spatial extent, and observation time affect virtual particle pair creation and zero-point energy