In theoretical physics, dimensional deconstruction is a method to construct d-dimensional theories that behave as higher-dimensional theories in a certain range of energies. Theoretical physics employs Mathematical models and Abstractions of Physics in an attempt to explain experimental data taken of the natural world The resulting theory is a gauge theory whose gauge group is a direct product of many copies of the same group; each copy may be interpreted as the gauge group located at a particular point along a new, discrete, "deconstructed" (d+1)st dimension. Gauge theory is a peculiar Quantum field theory where the Lagrangian is invariant under certain transformations Gauge theory is a peculiar Quantum field theory where the Lagrangian is invariant under certain transformations In Mathematics, one can often define a direct product of objectsalready known giving a new one The spectrum of matter fields is a set of bifundamental representations expressed by a quiver diagram that is analogous to lattices in lattice gauge theory. In Mathematics and Theoretical physics, a bifundamental representation is a representation obtained as a Tensor product of two Fundamental In Physics, a quiver diagram is a graph representing the Matter content of a Gauge theory that describes D-branes on orbifolds. In Physics, lattice gauge theory is the study of gauge theories on a spacetime that has been discretized onto a lattice.
"Deconstruction" in physics was introduced by Nima Arkani-Hamed, Andy Cohen and Howard Georgi, and independently by Christopher T. Hill, Stefan Pokorski and Jing Wang. Nima Arkani-Hamed ( (born 1972 is a leading Persian - American theoretical physicist with interests in high-energy physics String theory Howard Mason Georgi III, born in 1947 in San Bernardino California, is Harvard College Professor and Mallinckrodt Professor of Physics at Harvard Christopher T Hill (born 1951 is a theoretical physicist at the Fermi National Accelerator Laboratory. The latter authors viewed the method as a lattice approximation to the real space of extra dimensions, while maintaining the full gauge symmetries to obtain the low energy effective description of the physics. This leads to a rationale for extensions of the standard model based upon product gauge groups, 
, such as anticipated in "topcolor" models of electroweak symmetry breaking. In Theoretical physics, Topcolor is a model of dynamical Electroweak symmetry breaking in which the Top quark and anti-top quark form a Top quark condensate
The little Higgs theories are also examples of phenomenologically interesting theories inspired by deconstruction. In Particle physics, little Higgs is a refined version of the Higgs boson based on the idea that the Higgs Boson is a Pseudo-Goldstone boson
References
- (De)constructing dimensions. Nima Arkani-Hamed, Andrew G. Cohen, Howard Georgi. Physical Review Letters 86:4757-4761, 2001.
- Gauge invariant effective Lagrangian for Kaluza-Klein modes. Christopher T. Hill, Stefan Pokorski, Jing Wang. Physical Review D64:105005, 2001.
External links
- Littlest Higgs model and deconstruction: an introduction
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