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Strongly interacting dynamics beyond the standard model on a space—time lattice
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
Vol. 368, No. 1924, Visions of the future for the Royal Society's 350th anniversary year (13 August 2010), pp. 3657-3670
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/25699193
Page Count: 14
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Strong theoretical arguments suggest that the Higgs sector of the standard model of electroweak interactions is an effective low-energy theory, with a more fundamental theory expected to emerge at an energy scale of the order of a teraelectronvolt. One possibility is that the more fundamental theory is strongly interacting and the Higgs sector is given by the low-energy dynamics of the underlying theory. I review recent works aimed at determining observable quantities by numerical simulations of strongly interacting theories proposed in the literature to explain the electroweak symmetry-breaking mechanism. These investigations are based on Monte Carlo simulations of the theory formulated on a space—time lattice. I focus on the so-called minimal walking technicolour scenario, an SU(2) gauge theory with two flavours of fermions in the adjoint representation. The emerging picture is that this theory has an infrared fixed point that dominates the large-distance physics. I shall discuss the first numerical determinations of quantities of phenomenological interest for this theory and analyse future directions of quantitative studies of strongly interacting theories beyond the standard model with lattice techniques. In particular, I report on a finite size scaling determination of the chiral condensate anomalous dimension γ, for which 0.05 ≤ γ ≤ 0.25.
Philosophical Transactions: Mathematical, Physical and Engineering Sciences © 2010 Royal Society