4d Gauge Theory and Gravity Generated from 3d Gauge Theory and Gravity at High Energy

概要

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Dynamical generation of 4d gauge theories and gravity at low energy from their 3d versions at high energy is studied on the basis of the fermion condensation mechanism recently proposed by Arkani-Hamed, Cohen and Georgi. First, 4d Einstein gravity is generated from multiple copies of 3d Einstein gravity by referring to the two-form gravity. Since the 3d Einstein action without matter coupling is topological, ultraviolet divergences are less singular in our model. In the gauge model, matter fermions are introduced on the discrete lattice, following Wilson. Then, the 4d gauge interactions are correctly generated from the 3d theories, even in the left-right asymmetric theories of the standard model. In order for this to occur, the Higgs fields as well as the gauge fields of the extra dimension should be generated by the fermion condensates. This leads us to believe that the generation of the 4d standard model from multiple copies of the 3d standard model is quite promising. To solve the doubling problem in the weak interaction sector, two kinds of discrete lattices have to be introduced separately for L- and R-handed sectors, and two types of Higgs fields should be generated.
理論物理学刊行会の論文
2002-04-25