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invariance group

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  • Invariance mechanics — In physics, invariance mechanics, in its simplest form, is the rewriting of the laws of quantum field theory in terms of invariant quantities only. For example, the positions of a set of particles in a particular coordinate system is not… …   Wikipedia

  • Invariance (physique) — Symétrie (physique) En physique la notion de symétrie, appelée aussi invariance, renvoie à la possibilité de considérer un même système physique selon plusieurs points de vues distincts en termes de description mais équivalents quant aux… …   Wikipédia en Français

  • Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

  • Scale invariance — In physics and mathematics, scale invariance is a feature of objects or laws that do not change if length scales (or energy scales) are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as… …   Wikipedia

  • Renormalization group — In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the… …   Wikipedia

  • Lorentz invariance in loop quantum gravity — Loop quantum gravity (LQG) is a quantization of a classical Lagrangian field theory. It is equivalent to the usual Einstein Cartan theory in that it leads to the same equations of motion describing general relativity with torsion. As such, it can …   Wikipedia

  • Poincaré group — In physics and mathematics, the Poincaré group, named after Henri Poincaré, is the group of isometries of Minkowski spacetime. It is a 10 dimensional noncompact Lie group. The abelian group of translations is a normal subgroup while the Lorentz… …   Wikipedia

  • Non-critical string theory: Lorentz invariance — Usually non critical string theory is considered in frames of the approach proposed by Polyakov [1]. The other approach has been developed in [2] [3] [4]. It represents a universal method to maintain explicit Lorentz invariance in any quantum… …   Wikipedia

  • Modular invariance — In theoretical physics, modular invariance is the invariance under the group such as SL(2,Z) of large diffeomorphisms of the torus. The name comes from the classical name modular group of this group, as in modular form theory. In string theory,… …   Wikipedia

  • Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   Wikipedia

  • Circle group — For the jazz group, see Circle (jazz band). Lie groups …   Wikipedia

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