Higgs Mechanism in Nonlocal Field Theories

We study spontaneous gauge symmetry breaking and the Higgs mechanism in nonlocal field theories. Motivated by the level truncated action of string field theory, we consider a class of nonlocal field theories with an exponential factor of the d'Alembertian attached to the kinetic and mass terms. Modifications of this kind are known to make mild the UV behavior of loop diagrams and thus have been studied not only in the context of string theory but also as an alternative approach to quantum gravity. In this paper we argue that such a nonlocal theory potentially includes a ghost mode near the nonlocal scale in the particle spectrum of the symmetry broken phase. This is in sharp contrast to local field theories and would be an obstruction to making a simple nonlocal model a UV complete theory. We then discuss a possible way out by studying nonlocal theories with extra symmetries such as gauge symmetries in higher spacetime dimensions.Comment: 19 pages, 4 figures; v2: references added, version published in JHE

LHC実験における低スケール弦模型のシグナル

学位の種別:課程博士University of Tokyo(東京大学

Signatures of low-scale string models at the LHC

Low-scale string models, in which the string scale M_s is of the order of TeV with large extra dimensions, can solve the problems of scale hierarchy and non-renormalizable quantum gravity in the standard model. String excited states of the standard model particles are possibly observed as resonances in the dijet invariant mass distribution at the LHC. There are two properties to distinguish whether the resonances are due to low-scale string or some other "new physics". One is a characteristic angular distribution in dijet events at the resonance due to spin degeneracy of string excited states, and the other is an appearance of the second resonance at a characteristic mass of second string excited states. We investigate a possibility to observe these evidences of low-scale string models by Monte Carlo simulations with a reference value of M_s = 4 TeV at sqrt{s} = 14 TeV. It is shown that spin degeneracy at the dijet resonance can be observed by looking the chi-distribution with integrated luminosity of 20 fb^-1. It is shown that the second resonance can be observed at rather close to the first resonance in the dijet invariant mass distribution with integrated luminosity of 50 fb^-1. These are inevitable signatures of low-scale string models.Comment: 21 pages, 8 figure