In mathematics, and especially differential geometry and mathematical physics, gauge theory is the general study of connections on vector bundles, principal...

In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local...

A gauge group is a group of gauge symmetries of the Yang–Mills gauge theory of principal connections on a principal bundle. Given a principal bundle P...

ghosts. Gauge theory (mathematics) Lagrangian system Noether identities Gauge theory Gauge symmetry Yang–Mills theory Gauge group (mathematics) Gauge gravitation...

lattice gauge theories. Aharonov–Bohm effect Coulomb gauge Deformed Hermitian Yang–Mills equations Gauge covariant derivative Gauge theory (mathematics) Hermitian...

The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type. It was discovered first by mathematical physicist Albert...

In mathematical physics, higher gauge theory is the general study of counterparts of gauge theory that involve higher-degree differential forms instead...

Association of Mathematical Physics Notable publications in mathematical physics List of mathematical physics journals Gauge theory (mathematics) Relationship...

In the physics of gauge theories, gauge fixing (also called choosing a gauge) denotes a mathematical procedure for coping with redundant degrees of freedom...

A gauge theory is a type of theory in physics. The word gauge means a measurement, a thickness, an in-between distance (as in railroad tracks), or a resulting...

Applied Mathematics. In it, Wigner observes that a theoretical physics's mathematical structure often points the way to further advances in that theory and...

Connection (composite bundle) Connection (algebraic framework) Gauge theory (mathematics) Connes connection Levi-Civita, T.; Ricci, G. (1900), "Méthodes...

development of gauge theory and the completion of the Standard Model in the 1970s led to a renaissance of quantum field theory. Quantum field theory results...

supersymmetry. The more mathematical approach uses an index-free notation, emphasizing the geometric and algebraic structure of the gauge theory and its relationship...

energies is by a supersymmetric gauge theory, and found geometrical interpretations of mathematical structures in gauge theory that he and Nathan Seiberg had...

Gauge theory gravity (GTG) is a theory of gravitation cast in the mathematical language of geometric algebra. To those familiar with general relativity...

In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes...

In quantum field theory, gauge gravitation theory is the effort to extend Yang–Mills theory, which provides a universal description of the fundamental...

theoretical physics, Seiberg–Witten theory is an N = 2 {\displaystyle {\mathcal {N}}=2} supersymmetric gauge theory with an exact low-energy effective...

This article describes the mathematics of the Standard Model of particle physics, a gauge quantum field theory containing the internal symmetries of the...

Unified field theory attempts to organize these fields into a single mathematical structure. For over a century, unified field theory has remained an...

In mathematics, and especially gauge theory, Donaldson theory is the study of the topology of smooth 4-manifolds using moduli spaces of anti-self-dual...

more generally, for classical field theory, is to provide a clear mathematical foundation for quantum field theory, which is infamously beset by formal...

theory — Galois theory — Game theory — Gauge theory — Graph theory — Group theory — Hodge theory — Homology theory — Homotopy theory — Ideal theory —...

In mathematical physics, constructive quantum field theory is the field devoted to showing that quantum field theory can be defined in terms of precise...

a mathematically complete example of a quantum gauge theory in four-dimensional space-time, nor even a precise definition of quantum gauge theory in...

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure,...

field theories are Klein-Gordon theory for real or complex scalar fields Dirac theory for a Dirac spinor field Yang–Mills theory for a non-abelian gauge field...

Affine gauge theory is classical gauge theory where gauge fields are affine connections on the tangent bundle over a smooth manifold X {\displaystyle X}...

known for his contributions to string theory, topological quantum field theory, and various areas of mathematics. He is a professor emeritus in the school...