Learning pathways
Choose the route that ends at your question
A pathway is a curated sequence, not a requirement to reread everything. Choose by the calculation, physical regime, or research practice you need; check only the preparation that route uses; then enter at the first result you cannot yet reproduce.
A short decision
Goal → preparation → first missing result
- 1
Name the output. Choose an amplitude, effective theory, response function, theorem statement, or reproduced result.
- 2
Test the dependencies. Attempt the route’s named checks; review only a capability that blocks the next step.
- 3
Leave with work. Complete the route’s concrete calculation or comparison, including assumptions and limits.
Return efficiently
Refresh the structure you need
Rebuild a derivation and its assumptions without repeating a full first course.
Physical domains
Follow the phenomena
Choose the fields, states, approximations, and observables appropriate to a physical regime.
QFT for particle and nuclear physics
For you ifYou need gauge theory for Standard Model, QCD, hadron, nuclear, flavor, or precision work.
You leave withA gauge-theory calculation carried into one application with its uncertainties explicit.
PreparationCore gauge theory, scattering, renormalization, EFT, and infrared-safe observables.
Open pathwayQFT for quantum matter
For you ifYou study collective phases, response, quasiparticles, criticality, or topological matter.
You leave withAn effective description of one regime connected to a response or probe.
PreparationOperators, correlators, symmetry, RG, EFT, and statistical reasoning.
Open pathwayQFT for gravity and cosmology
For you ifYou need fields on curved spacetime, horizon physics, cosmological correlators, or gravity EFT.
You leave withA result with its state choice, renormalization, geometry, and validity domain stated.
PreparationClassical fields, causal structure, correlators, renormalization, and EFT.
Open pathway
Research calculations
Build a reliable workflow
Focus on the methods needed to turn a formal expression, code run, or scale hierarchy into a defensible scientific result.
Scattering calculations for phenomenology
For you ifYou need amplitudes, loops, phase space, factorization, or precision collider observables.
You leave withAn infrared-safe observable with normalization, matching, integration, and uncertainty checks.
PreparationPerturbation theory, LSZ, gauge consistency, loops, statistics, and EFT.
Open pathwayRenormalization and EFT for working researchers
For you ifYou need operator mixing, matching, running, multiscale EFT, or a controlled error model.
You leave withAn EFT matched and evolved between declared scales, with its omissions tested.
PreparationPerturbative rules, loop regions, RG reasoning, and asymptotic expansions.
Open pathwayComputational field theory onboarding
For you ifYou need to reproduce and independently test a lattice, bootstrap, transport, or inference result.
You leave withA clean reproduction plus a scientifically independent cross-check.
PreparationCorrelators, regularization, statistics, numerical error, and reproducibility.
Open pathway
Conceptual bridges
Translate between physics and mathematics
Make the hypotheses, object classes, approximations, and physical interpretations visible on both sides of the bridge.
Mathematical foundations for physicists
For you ifYou use QFT physically and want theorem frameworks, reconstruction, algebraic, constructive, or microlocal viewpoints.
You leave withA precise statement of one QFT result with hypotheses and failure boundaries.
PreparationOperators, Lorentz symmetry, distributions, correlators, and RG.
Open pathwayPhysical foundations for mathematicians
For you ifYou know a formal framework and want its actions, states, observables, approximations, and evidence.
You leave withA comparison between a formal statement and a physical construction or measurement.
PreparationLinear methods and quantum operators; the route supplies the physical bridges.
Open pathway
Before a first project
Add research skills to any pathway
Learn to trace a claim to its source, state its conventions and scope, reproduce a result, compare a disagreement, and turn the remaining gap into a bounded project.