Soldering Formalism in Noncommutative Field Theory: a Brief Note
نویسنده
چکیده
In this paper, I develop the Soldering formalism in a new domain the noncommutative planar gauge field theories. The Soldering mechanism fuses two distinct theories showing opposite or complimentary properties of some symmetry, taking into account the interference effects. The above mentioned symmetry is hidden in the composite (or soldered) theory. In the present work it is shown that a pair of noncommutative Maxwell-Chern-Simons theories, having opposite signs in their respective topological terms, can be soldered to yield the noncommutative generalization of the Proca theory. The result is a direct extension of the ordinary spacetime result. The present work further establishes the robustness of the soldering programme.
منابع مشابه
A Note on Superfields and Noncommutative Geometry
We consider the supersymmetric field theories on the noncommutative R using the superspace formalism on the commutative space. The terms depending on the parameter of the noncommutativity Θ are regarded as the interactions. In this way we construct the N = 1 supersymmetric action for the U(N) vector multiplets and chiral multiplets of the fundamental, anti-fundamental and adjoint representation...
متن کاملFuzzy Physics: A Brief Overview of Noncommutative Geometry in Physics
Noncommutative geometry (NCG) is a mathematical tool which has been used in the search for a quantum theory of gravity. However, its application is not limited to this field. In this brief note we present different uses of NCG in Theoretical Physics.
متن کاملجابهجایی انرژی فرمیونهای غیرنسبیتی برهمکنش کننده در فضای ناجابهجاگر
A local interaction in noncommutative space modifies to a non-local one. For an assembly of particles interacting through the contact potential, formalism of the quantum field theory makes it possible to take into account the effect of modification of the potential on the energy of the system. In this paper we calculate the energy shift of an assembly of non-relativistic fermions, interacting...
متن کاملep - t h / 99 11 03 1 v 1 4 N ov 1 99 9 INJE - TP - 99 - 7 Noncommutative spacetime and the fractional quantum Hall effect
We propose the two formalisms for obtaining the noncommutative spacetime in a magnetic field. One is the first-order formalism and the other is the second-order formalism. Although the noncommutative spacetime is realized manifestly in the first-order formalism, the second-order formalism would be more useful for calculating the physical quantities in the noncommutative geometry than the first-...
متن کاملN ov 1 99 9 INJE - TP - 99 - 7 Noncommutative spacetime and the fractional quantum Hall effect
We propose the two formalisms for obtaining the noncommutative spacetime in a magnetic field. One is the first-order formalism and the other is the second-order formalism. Although the noncommutative spacetime is realized manifestly in the first-order formalism, the second-order formalism would be more useful for calculating the physical quantities in the noncommutative geometry than the first-...
متن کامل