physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

• (higher) category theory and physics

• geometry of physics

• books and reviews, physics resources

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theory (physics), model (physics)

experiment, measurement, computable physics

• mechanics

  • mass, charge, momentum, angular momentum, moment of inertia

  • dynamics on Lie groups

    • rigid body dynamics

• field (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

      • n-symplectic manifold

  • spacetime

    • smooth Lorentzian manifold

    • special relativity

    • general relativity

    • gravity

      • supergravity, dilaton gravity

      • black hole

• Classical field theory

  • classical physics

    • classical mechanics
    • waves and optics
    • thermodynamics

• 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

      • conformal net

      • Reeh-Schlieder theorem

      • Osterwalder-Schrader theorem

      • PCT theorem

      • Bisognano-Wichmann theorem

        • modular theory

      • spin-statistics theorem

        • boson, fermion

    • 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

  • particle physics

    • phenomenology

    • models

      • standard model of particle physics

      • fields and quanta

      • Grand Unified Theories, MSSM

    • scattering amplitude

      • on-shell recursion, KLT relations

  • Structural phenomena

    • universality class

    • quantum anomaly

      • Green-Schwarz mechanism

    • instanton

    • spontaneously broken symmetry

    • Kaluza-Klein mechanism

    • integrable systems

    • holonomic quantum fields

  • 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

      • electric charge

      • magnetic charge

        • Yang-Mills field, QCD

      • Yang-Mills theory

      • spinors in Yang-Mills theory

      • topological Yang-Mills theory

        • Kalb-Ramond field
        • supergravity C-field
        • RR field
        • first-order formulation of gravity

      • general covariance

      • supergravity

      • D'Auria-Fre formulation of supergravity

      • gravity as a BF-theory

    • sigma-model

      • particle, relativistic particle, fundamental particle, spinning particle, superparticle

      • string, spinning string, superstring

      • membrane

      • AKSZ theory

• String Theory

  • string theory results applied elsewhere

• number theory and physics

  • Riemann hypothesis and physics

fields and particles in particle physics

and in the standard model of particle physics:

force field gauge bosons

• photon - electromagnetic field (abelian Yang-Mills field)

• W, Z, B-boson - electroweak field (Yang-Mills field)

• gluon - strong nuclear force (Yang-Mills field)

• graviton - field of gravity

• infraparticle

scalar bosons

• Higgs boson, inflaton (scalar field)

matter field fermions (spinors, Dirac fields)

flavors of fundamental fermions in the standard model of particle physics:
generation of fermions	1st generation	2nd generation	3d generation
quarks ($q$)
up-type	up quark ($u$)	charm quark ($c$)	top quark ($t$)
down-type	down quark ($d$)	strange quark ($s$)	bottom quark ($b$)
leptons
charged	electron	muon	tauon
neutral	electron neutrino	muon neutrino	tau neutrino
bound states:
mesons	light mesons: pion ($u d$) ρ-meson ($u d$) ω-meson ($u d$) f1-meson a1-meson	strange-mesons: ϕ-meson ($s \bar s$), kaon, K*-meson ($u s$, $d s$) eta-meson ($u u + d d + s s$) charmed heavy mesons: D-meson ($u c$, $d c$, $s c$) J/ψ-meson ($c \bar c$)	bottom heavy mesons: B-meson ($q b$) ϒ-meson ($b \bar b$)
baryons	nucleons: proton $(u u d)$ neutron $(u d d)$

(also: antiparticles)

effective particles

• Goldstone bosons

hadrons (bound states of the above quarks)

• meson

  • scalar meson

    • σ-meson

    • pion

    • kaon

    • D-meson

    • B-meson

  • vector meson

    • ω-meson

    • ρ-meson

    • f1-meson

    • a1-meson

    • b1-meson

    • h1-meson

    • K*-meson

  • tensor meson

  • quarkonium

    • charmonium

    • ϒ-meson

• exotic meson

  • XYZ meson

  • tetraquark

• baryon

  • nucleon

    • proton

    • neutron

    • chemical element

      • carbon

      • nitrogen

  • Lambda baryon

  • pentaquark

solitons

• Skyrmion

• caloron

• instanton

in grand unified theory

• leptoquark

• Z'-boson

minimally extended supersymmetric standard model

superpartners

bosinos:

• gravitino - field of supergravity (Rarita-Schwinger field)

• gaugino - super Yang-Mills field

• gluino

sfermions:

• squark

dark matter candidates

• WIMP

• axion

Exotica

• preon

• graviphoton

• dilaton

• monopole

• dual graviton

• giant graviton

auxiliary fields

• ghost field

• antifield

• antighost field, Nakanishi-Lautrup field