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Research Areas: Gauge field theories at strong coupling and supersymmetric field theories
I do research in all branches of theoretical high energy physics: from Quantum Chromodynamics (QCD) as the theory of hadrons
to extra dimensional (brane world) models of fundamental interactions.
Due to a mysterious property of color confinement, QCD is one of the most intriguing dynamical theories we have ever had. Crucial non-perturbative phenomena in QCD are very rich. Even more mysteries we encounter as we move towards higher energies, in the realm of fundamental quark-lepton theories. I develop various ideas which could explain regularities of the quark-lepton world from the standpoint of extra dimensions, within the framework of supersymmetric field theory. The focus of my research is the study of non-perturbative effects.
M. Shifman, Diluting Cosmological Constant in Infinite Volume Extra Dimensions, Physical Review D, 67, 044020 (2003).
M. Shifman, Exact Results in Non-Supersymmetric Large N Orientifold Field Theories, Nuclear Physics B, 2003, in press.
M. Shifman, Families as Neighbors in Extra Dimension, Physics Letters B, 475, 295(2000).
ITEP Lectures on Particle Physics and Field Theory, Vols. 1 and 2, 870 pp, (World Scientific, Singapore, 1999).
M. Shifman, Exact Results for Soft Supersymmetry Breaking Parameters in Supersymmetric Gauge Theories, Physical Review D, 56, 5475 (1997).
M. Shifman, Domain Walls in Strongly Coupled Theories, Physical Letters B, 396, 64 (1997); (E) B407, 452 (1997).
M. Shifman, Sum Rules for Heavy Flavor Transitions in the Small Velocity Limit, Physical Review D, 52, 196 (1995).
M. Shifman, QCD Predictions for Lepton Spectra in Inclusive Heavy Flavor Decays, Physical Review Letters, 71, 496 (1993).
M. Shifman, On Holomorphic Dependence and Infrared Effects in Supersymmetric Gauge Theories, Nucl. Phys. B, 359, 571 (1991)