noncommutative field

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• Noncommutative quantum field theory — In mathematical physics, noncommutative quantum field theory (or quantum field theory on noncommutative spacetime) is an application of noncommutative mathematics to the spacetime of quantum field theory that is an outgrowth of noncommutative… …   Wikipedia

• Noncommutative algebraic geometry — is a branch of mathematics, and more specifically a direction in noncommutative geometry that studies the geometric properties of formal duals of non commutative algebraic objects such as rings as well as geometric objects derived from them (e.g …   Wikipedia

• Noncommutative topology — in mathematics is a term applied to the strictly C* algebraic part of the noncommutative geometry program. The program has its origins in the Gel fand duality between the topology of locally compact spaces and the algebraic structure of… …   Wikipedia

• Noncommutative ring — In mathematics, more specifically modern algebra and ring theory, a noncommutative ring is a ring whose multiplication is not commutative; that is, if R is a noncommutative ring, there exists a and b in R with a·b ≠ b·a, and conversely.… …   Wikipedia

• Noncommutative geometry — Not to be confused with Anabelian geometry. Noncommutative geometry (NCG) is a branch of mathematics concerned with geometric approach to noncommutative algebras, and with construction of spaces which are locally presented by noncommutative… …   Wikipedia

• Noncommutative standard model — In theoretical particle physics, the non commutative Standard Model, mainly due to the French mathematician Alain Connes, uses his noncommutative geometry to devise an extension of the Standard Model to include a modified form of general… …   Wikipedia

• Noncommutative harmonic analysis — In mathematics, noncommutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin… …   Wikipedia

• List of quantum field theories — List of quantum field theories:*Chern Simons model *Chiral modelComplex Quantum Mechanicshttp://tech.groups.yahoo.com/group/complexquantummechanics*Gross Neveu *Kondo model *Lower dimensional quantum field theory *Minimal model *Nambu Jona… …   Wikipedia

• Ore condition — In mathematics, especially in the area of algebra known as ring theory, the Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond commutative rings the construction of a field of fractions, or …   Wikipedia

• IR/UV mixing — In theoretical physics, it is usually possible to organize physical phenomena according to the energy scale or distance scale. The theory of renormalization group is based on this paradigm. The short distance, ultraviolet physics does not… …   Wikipedia

• Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia