Gauge theories are invariant under local transformations
Gauge theory
Gauge theories are invariant under local transformations
Gauge theories are a fundamental concept in modern physics, where the Lagrangian remains unchanged under local transformations. These transformations form a Lie group, known as the gauge group, which ensures the invariance of the physical system's dynamics. The associated gauge fields are included in the Lagrangian to maintain this invariance.
Example
In electromagnetism, the electromagnetic field is described by a U(1) gauge theory, where the gauge transformations correspond to changes in the phase of the electromagnetic potential.
Understanding gauge symmetries is crucial for describing fundamental forces and particles in physics.
Related concepts
Noether's theorem
Noether's theorem links continuous symmetries to conservation laws
Spontaneous symmetry breaking
Spontaneous symmetry breaking occurs even when laws retain symmetry
Goldstone boson
Goldstone theorem states every spontaneously broken continuous symmetry produces a massless boson
Symmetry (physics)
Symmetry leads to energy conservation
CPT symmetry
CPT symmetry is conserved in all physical phenomena
Bell's theorem
Bell's theorem disproves local hidden-variable theories
One email a day: 5 concepts + the 5 stories that matter →
Swipe through 100 ML concepts daily
Open TickerNews