field theory

Physics of forces

Field theory is a branch of physics describing how physical quantities are distributed across space and time.

In classical field theory, fields like electromagnetic or gravitational fields pervade regions rather than acting at a distance between particles.

Quantum field theory extends this, treating particles themselves as excitations of underlying fields: The Standard Model is built on quantum field theory.

In mathematics, field theory studies algebraic structures called fields.

quantum

propagator

One who spreads further

coupling · operator · commutator · creation · annihilation · regularization · divergence · virtual particle

classical

electromagnetic

Involving electric and magnetic fields

potential · gradient · divergence · curl · boundary conditions · Maxwell · continuum · flux · source · sink

gauge

symmetry

Invariance under transformation

quantization · locality · standard model

mathematical

algebra

Math using symbols

  • topologyStudy of spatial arrangement
  • ringClosed curve shape
  • moduleIndependent functional component

axioms · structure · isomorphism · Archimedean · real numbers · complex numbers · valuation

relativistic

spacetime

Merged dimensional framework

cosmological · gravitational waves · black hole · causality

algebraic

extension

Added part or duration

characteristic · separable · quintic

Categories
Opposites
physical ontology

field theoryparticle physics

Study of subatomic constituents

corpuscular theory · atomism · Newtonian mechanics · classical mechanics

scope of description

field theoryphenomenology

Study of subjective experience

experimental physics · empiricism

mathematical approach in physics

field theorygraph theory

Mathematical study of networks

Family

field, theory, fields, battlefield, theories, fielded, fielding, fieldwork, fieldworker

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