6,464 research outputs found
Regularisation of Chiral Gauge Theories
This article gives a review of the topic of regularising chiral gauge
theories and is aimed at a general audience. It begins by clarifying the
meaning of chirality and goes on to discussing chiral projections in field
theory, parity violation and the distinction between vector and chiral field
theories. It then discusses the standard model of electroweak interactions from
the perspective of chirality. It also reviews at length the phenomenon of
anomalies in quantum field theories including the intuitive understanding of
anomalies based on the Dirac sea picture as given by Nielsen and Ninomiya. It
then raises the issue of a non-perturbative and constructive definition of the
standard model as well as the importance of such formulations. The second
Nielsen-Ninomiya theorem about the impossibility of regularising chiral gauge
theories under some general assumptions is also discussed. After a brief review
of lattice regularisation of field theories, it discusses the issue of fermions
on the lattice with special emphasis on the problem of species doubling. The
implications of these problems to introducing chiral fermions on the lattice as
well as the interpretations of anomalies within the lattice formulations and
the lattice Dirac sea picture are then discussed. Finally the difficulties of
formulating the standard model on the lattice are illustrated through detailed
discussions of the Wilson-Yukawa method, the domain wall fermions method and
the recently popular Ginsparg-Wilson method.Comment: LATEX, 26 pages, 7 fig
Probing the Light Pseudoscalar Window
Very light pseudoscalars can arise from the symmetry-breaking sector in many
extensions of the Standard Model. If their mass is below 200 MeV, they can be
long-lived and have interesting phenomenology. We discuss the experimental
constraints on several models with light pseudoscalars, including one in which
the pseudoscalar is naturally fermiophobic. Taking into account the stringent
bounds from rare K and B decays, we find allowed parameter space in each model
that may be accessible in direct production experiments. In particular, we
study the photoproduction of light pseudoscalars at Jefferson Lab and conclude
that a beam dump experiment could explore some of the allowed parameter space
of these models.Comment: 22 pages, 4 figure
Investigation of the Domain Wall Fermion Approach to Chiral Gauge Theories on the Lattice
We investigate a recent proposal to construct chiral gauge theories on the
lattice using domain wall fermions. We restrict ourselves to the finite volume
case, in which two domain walls are present, with modes of opposite chirality
on each of them. We couple the chiral fermions on only one of the domain walls
to a gauge field. In order to preserve gauge invariance, we have to add a
scalar field, which gives rise to additional light mirror fermion and scalar
modes. We argue that in an anomaly free model these extra modes would decouple
if our model possesses a so-called strong coupling symmetric phase. However,
our numerical results indicate that such a phase most probably does not exist.
---- Note: 9 Postscript figures are appended as uuencoded compressed tar file.Comment: 27p. Latex; UCSD/PTH 93-28, Wash. U. HEP/93-6
Preheating in Derivatively-Coupled Inflation Models
We study preheating in theories where the inflaton couples derivatively to
scalar and gauge fields. Such couplings may dominate in natural models of
inflation, in which the flatness of the inflaton potential is related to an
approximate shift symmetry of the inflaton. We compare our results with
previously studied models with non-derivative couplings. For sufficiently heavy
scalar matter, parametric resonance is ineffective in reheating the universe,
because the couplings of the inflaton to matter are very weak. If scalar matter
fields are light, derivative couplings lead to a mild long-wavelength
instability that drives matter fields to non-zero expectation values. In this
case however, long-wavelength fluctuations of the light scalar are produced
during inflation, leading to a host of cosmological problems. In contrast,
axion-like couplings of the inflaton to a gauge field do not lead to production
of long-wavelength fluctuations during inflation. However, again because of the
weakness of the couplings to the inflaton, parametric resonance is not
effective in producing gauge field quanta.Comment: 10 pages, 9 figure
Equations for the estimation of strong ground motions from shallow crustal earthquakes using data from Europe and the Middle East : horizontal peak ground acceleration and spectral acceleration
This article presents equations for the estimation of horizontal strong ground motions caused by shallow crustal earthquakes with magnitudes Mw ≥ 5 and distance to the surface projection of the fault less than 100km. These equations were derived by weighted regression analysis, used to remove observed magnitude-dependent variance, on a set of 595 strong-motion records recorded in Europe and the Middle East. Coefficients are included to model the effect of local site effects and faulting mechanism on the observed ground motions. The equations include coefficients to model the observed magnitude-dependent decay rate. The main findings of this study are that: short-period ground motions from small and moderate magnitude earthquakes decay faster than the commonly assumed 1/r, the average effect of differing faulting mechanisms is not large and corresponds to factors between 0.8 (normal and odd) and 1.3 (thrust) with respect to strike-slip motions and that the average long-period amplification caused by soft soil deposits is about 2.6 over those on rock sites. Disappointingly the standard deviations associated with the derived equations are not significantly lower than those found in previous studies
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