Quantum Field Theory Solution to The Gauge Hierarchy And Cosmological Constant Problems

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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35 pages Latex. Clarifications added, trivial misprints fixed and references added

Scientific paper

A quantum field theory formalism is reviewed that leads to a self-consistent, finite quantum gravity, Yang-Mills and Higgs theory, which is unitary and gauge invariant to all orders of perturbation theory. The gauge hierarchy problem is solved due to the exponential damping of the Higgs self-energy loop graph for energies greater than a scale $\Lambda_H\leq 1$ TeV. The cosmological constant problem is solved by introducing a fundamental quantum gravity scale, $\Lambda_G\leq 10^{-4}$ eV, above which the virtual contributions to the vacuum energy density coupled to gravity are exponentially suppressed, yielding an observationally acceptable value for the particle physics contribution to the cosmological constant. Classical Einstein gravity retains its causal behavior as well as the standard agreement with observational data. Possible experimental tests of the onset of quantum nonlocality at short distances are considered.

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