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• Gauge_theory abstract "In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under a continuous group of local transformations.The term gauge refers to redundant degrees of freedom in the Lagrangian. The transformations between possible gauges, called gauge transformations, form a Lie group—referred to as the symmetry group or the gauge group of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises a corresponding vector field called the gauge field. Gauge fields are included in the Lagrangian to ensure its invariance under the local group transformations (called gauge invariance). When such a theory is quantized, the quanta of the gauge fields are called gauge bosons. If the symmetry group is non-commutative, the gauge theory is referred to as non-abelian, the usual example being the Yang–Mills theory.Many powerful theories in physics are described by Lagrangians that are invariant under some symmetry transformation groups. When they are invariant under a transformation identically performed at every point in the space in which the physical processes occur, they are said to have a global symmetry. The requirement of local symmetry, the cornerstone of gauge theories, is a stricter constraint. In fact, a global symmetry is just a local symmetry whose group's parameters are fixed in space-time.Gauge theories are important as the successful field theories explaining the dynamics of elementary particles. Quantum electrodynamics is an abelian gauge theory with the symmetry group U(1) and has one gauge field, the electromagnetic four-potential, with the photon being the gauge boson. The Standard Model is a non-abelian gauge theory with the symmetry group U(1)×SU(2)×SU(3) and has a total of twelve gauge bosons: the photon, three weak bosons and eight gluons.Gauge theories are also important in explaining gravitation in the theory of general relativity. Its case is somewhat unique in that the gauge field is a tensor, the Lanczos tensor. Theories of quantum gravity, beginning with gauge gravitation theory, also postulate the existence of a gauge boson known as the graviton. Gauge symmetries can be viewed as analogues of the principle of general covariance of general relativity in which the coordinate system can be chosen freely under arbitrary diffeomorphisms of spacetime. Both gauge invariance and diffeomorphism invariance reflect a redundancy in the description of the system. An alternative theory of gravitation, gauge theory gravity, replaces the principle of general covariance with a true gauge principle with new gauge fields.Historically, these ideas were first stated in the context of classical electromagnetism and later in general relativity. However, the modern importance of gauge symmetries appeared first in the relativistic quantum mechanics of electrons – quantum electrodynamics, elaborated on below. Today, gauge theories are useful in condensed matter, nuclear and high energy physics among other subfields.".
• Gauge_theory wikiPageExternalLink 955.pdf.
• Gauge_theory wikiPageExternalLink Yang-Mills.
• Gauge_theory wikiPageExternalLink Gauge_theories.
• Gauge_theory wikiPageID "23912155".
• Gauge_theory wikiPageRevisionID "604308802".
• Gauge_theory hasPhotoCollection Gauge_theory.
• Gauge_theory id "p/g043400".
• Gauge_theory title "Gauge transformation".
• Gauge_theory subject Category:Gauge_theories.
• Gauge_theory subject Category:Theoretical_physics.
• Gauge_theory type Abstraction100002137.
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• Gauge_theory comment "In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under a continuous group of local transformations.The term gauge refers to redundant degrees of freedom in the Lagrangian. The transformations between possible gauges, called gauge transformations, form a Lie group—referred to as the symmetry group or the gauge group of the theory. Associated with any Lie group is the Lie algebra of group generators.".
• Gauge_theory label "Cechowanie (fizyka)".
• Gauge_theory label "Eichtheorie".
• Gauge_theory label "Gauge theory".
• Gauge_theory label "IJktheorie".
• Gauge_theory label "Teoria de gauge".
• Gauge_theory label "Teoria di gauge".
• Gauge_theory label "Teoría de campo de gauge".
• Gauge_theory label "Théorie de jauge".
• Gauge_theory label "Калибровочная инвариантность".
• Gauge_theory label "نظرية المقياس".
• Gauge_theory label "ゲージ理論".
• Gauge_theory label "规范场论".
• Gauge_theory sameAs Kalibrační_invariance.
• Gauge_theory sameAs Eichtheorie.
• Gauge_theory sameAs Θεωρία_βαθμίδας.
• Gauge_theory sameAs Teoría_de_campo_de_gauge.
• Gauge_theory sameAs Théorie_de_jauge.
• Gauge_theory sameAs Teori_ukuran_(fisika).
• Gauge_theory sameAs Teoria_di_gauge.
• Gauge_theory sameAs ゲージ理論.
• Gauge_theory sameAs 게이지_이론.
• Gauge_theory sameAs IJktheorie.
• Gauge_theory sameAs Cechowanie_(fizyka).
• Gauge_theory sameAs Teoria_de_gauge.
• Gauge_theory sameAs m.01qps7.
• Gauge_theory sameAs Q214850.
• Gauge_theory sameAs Q214850.
• Gauge_theory sameAs Gauge_theory.
• Gauge_theory wasDerivedFrom Gauge_theory?oldid=604308802.
• Gauge_theory isPrimaryTopicOf Gauge_theory.