physics
mathematical physics, (higher) category theory and physics
books and reviews
physics resources
mechanics
mass, charge, momentum, angular momentum, moment of inertia
dynamics on Lie groups
Classical Field Theory
classical physics
Lagrangian mechanics
configuration space, state
action functional, Lagrangian
covariant phase space, Euler-Lagrange equations
Hamiltonian mechanics
phase space
symplectic geometry
Poisson manifold
symplectic manifold
symplectic groupoid
multisymplectic geometry
spacetime
smooth Lorentzian manifold
special relativity
general relativity
gravity
supergravity, dilaton gravity
black hole
Quantum Mechanics
in terms of †-compact categories
quantum information
Hamiltonian operator
density matrix
Kochen-Specker theorem
Bell's theorem
Gleason's theorem
Quantization
geometric quantization
deformation quantization
path integral quantization
semiclassical approximation
Quantum Field Theory
Axiomatizations
algebraic QFT
Wightman axioms
Haag-Kastler axioms
operator algebra
local net
Reeh-Schlieder theorem
Osterwalder-Schrader theorem
PCT theorem
Bisognano-Wichmann theorem
spin-statistics theorem
functorial QFT
cobordism
(∞,n)-category of cobordisms
cobordism hypothesis-theorem
extended topological quantum field theory
Tools
perturbative quantum field theory, vacuum
effective quantum field theory
renormalization
BV-BRST formalism
geometric ∞-function theory
Models
standard model of particle physics
Grand Unified Theories
integrable systems
Phenomena
universality class
quantum anomaly
instanton
spontaneously broken symmetry
Kaluza-Klein mechanism
Types of quantum field thories
TQFT
2d TQFT
Dijkgraaf-Witten theory
Chern-Simons theory
TCFT
A-model, B-model
homological mirror symmetry
QFT with defects
conformal field theory
(1,1)-dimensional Euclidean field theories and K-theory
(2,1)-dimensional Euclidean field theory and elliptic cohomology
CFT
WZW model
6d (2,0)-supersymmetric QFT
gauge theory
field strength
gauge group, gauge transformation, gauge fixing
examples
electromagnetic field, QED
Yang-Mills field, QCD
Kalb-Ramond field
supergravity C-field
RR field
D'Auria-Fre formulation of supergravity
BF-theory
holonomic quantum fields
sigma-model
particle, relativistic particle, fundamental particle, spinning particle, superparticle
string, spinning string, superstring
membrane
AKSZ theory
String Theory
string, spinning string, superstring, heterotic string, type II superstring, Berkovits superstring
brane, D-brane
orbifold, orientifold,
T-duality, topological T-duality, differential T-duality
Gnarly problems in physics
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Electromagnetism or electrodynamics is the gauge theory whose field is the electromagnetic field.
The corresponding quantum field theory is quantum electrodynamics.
quantum field theory
classical electrodynamics
electromagnetism
Yang-Mills theory
higher U(1)-gauge theory
B-field
C-field