Research Fields
Research fields are not containers for settled knowledge. They are practical maps of active programs: what is being calculated or proved, which observations or mathematical objects matter, where methods genuinely cross-check one another, and which limits still block inference. The twelve guides below cut across the site’s subject volumes and deliberately avoid assigning a single maturity or consensus label to an entire field.
Evidence cutoff. The guides synthesize sources available through 11 August 2026. Each guide declares its finite source selection and the result or change that should trigger earlier reassessment.
Choose an entry by the object you want to understand
Section titled “Choose an entry by the object you want to understand”| If your starting question is about… | Begin with | Then compare |
|---|---|---|
| collider observables, amplitudes, or perturbative accuracy | Amplitudes and precision scattering | Multiloop amplitudes and resummation |
| indirect tests of heavy new physics | EFT and tests of the Standard Model | EFT inference, power counting, and truncation |
| confinement, spectra, topology, or strong coupling | Nonperturbative gauge dynamics | Functional equations and functional RG |
| regulator-to-continuum numerical evidence | Lattice and Hamiltonian field theory | Euclidean lattice inference and Hamiltonian, tensor-network, and quantum-simulation methods |
| crossing symmetry, operator data, or CFT classification | Conformal field theory and bootstrap | Analytic and numerical conformal bootstrap |
| protected quantities or strong–weak equivalences | Supersymmetry and duality | Semiclassics, resurgence, and transseries |
| thermal matter, transport, or real-time evolution | Thermal and nonequilibrium field theory | Real-time QFT, kinetic theory, and hydrodynamics |
| critical, topological, fractionalized, or synthetic matter | Quantum matter and emergence | the method maps above, chosen by observable and regime |
| entanglement, channels, modular structure, or scrambling | Quantum information and entanglement in QFT | Replica, modular, and operator-algebra methods |
| quantum fields on curved backgrounds or semiclassical backreaction | QFT in curved spacetime and semiclassical gravity | real-time, modular, and Euclidean methods as the question requires |
| bulk reconstruction, black holes, or gravitational path integrals | Holography and quantum gravity | Holographic reconstruction and gravitational path integrals |
| theorem-level existence, reconstruction, or equivalence | Mathematical and constructive QFT | framework-specific proofs and constructive benchmarks |
Read boundaries before labels
Section titled “Read boundaries before labels”Several guides share objects but ask different questions. A lattice computation of a thermal equation of state belongs methodologically to lattice field theory, physically to thermal QFT, and evidentially to the bounded finite-temperature QCD brief. Holographic entropy can be relevant to quantum information without making every information-theoretic result evidence for quantum gravity. Supersymmetric dualities can supply exact benchmarks without licensing the same claims in nonsupersymmetric theories.
The directory therefore distinguishes four things that are often collapsed: a field’s organizing questions, the stable background needed to formulate them, the methods used to address them, and the finite evidence supporting a particular claim. Follow a guide for orientation, a frontier dossier for a scoped open question, a method map for tradeoffs, and an evidence brief for a bounded comparison.
Coverage and consequential omissions
Section titled “Coverage and consequential omissions”This initial portfolio emphasizes areas where a cross-volume critical synthesis changes how a reader enters the literature. It is not a ranking of importance. Nuclear structure, astroparticle phenomenology, cosmological data analysis, perturbative gravity, string phenomenology, and quantum-optics implementations do not yet receive standalone field guides. Their QFT foundations remain in the subject volumes, and parts of their research practice appear where they are indispensable to an included program. A new guide is warranted when it has a distinct organizing question, a mature finite evidence base, serious alternatives, and a maintainable review path—not merely because a community uses QFT.
Readers new to research assessment should start with literature and claim tracing and uncertainty, disagreement, and negative results. Those modules explain why a highly cited proposal is not automatically established and why several analyses of shared data are not independent replications.