4,724 research outputs found
Symmetry of high-piezoelectric Pb-based complex perovskites at the morphotropic phase boundary II. Theoretical treatment
The structural characteristics of the perovskite- based ferroelectric
Pb(Zn1/3Nb2/3)O3-9%PbTiO3 at the morphotropic phase boundary (MPB) region
(x≃0.09) have been analyzed. The analysis is based on the symmetry
adapted free energy functions under the assumption that the total polarization
and the unit cell volume are conserved during the transformations between
various morphotropic phases. Overall features of the relationships between the
observed lattice constants at various conditions have been consistently
explained. The origin of the anomalous physical properties at MPB is discussed
A Note on String Field Theory in the Temporal Gauge
In this note, we review the recent developments in the string field theory in
the temporal gauge. (Based on a talk presented by N.I. in the workshop {\it
Quantum Field Theory, Integrable Models and Beyond}, Yukawa Institute for
Theoretical Physics, Kyoto University, 14-18 February 1994.)Comment: 20 pages, KEK-TH-411, LaTex fil
Equation of motion for a domain wall coupled to gravitational field
The equation of motion for a domain wall coupled to gravitational field is
derived from the Nambu-Goto action. The domain wall is treated as a source of
gravitational field. The perturbed equation is also obtained with gravitational
back reaction on the wall motion taken into account. For general spherically
symmetric background case, the equation is expressed in terms of the
gauge-invariant variables.Comment: 13 pages, latex, no figures, uses REVTe
Berry's Connection and USp(2k) Matrix Model
Berry's connection is computed in the USp(2k) matrix model. In T dualized
quantum mechanics, the Berry phase exhibits a residual interaction taking place
at a distance m_(f) from the orientifold surface via the integration of the
fermions in the fundamental representation. This is interpreted as a coupling
of the magnetic D2 with the electric D4 branes. We make a comment on the Berry
phase associated with the 6D nonabelian gauge anomaly whose cancellation
selects the number of flavours n_f=16.Comment: a few minor errors corrected, to appear in Phys. Lett.
Dynamics in Stationary, Non-Globally Hyperbolic Spacetimes
Classically, the dynamics in a non-globally hyperbolic spacetime is ill
posed. Previously, a prescription was given for defining dynamics in static
spacetimes in terms of a second order operator acting on a Hilbert space
defined on static slices. The present work extends this result by giving a
similar prescription for defining dynamics in stationary spacetimes obeying
certain mild assumptions. The prescription is defined in terms of a first order
operator acting on a different Hilbert space from the one used in the static
prescription. It preserves the important properties of the earlier one: the
formal solution agrees with the Cauchy evolution within the domain of
dependence, and smooth data of compact support always give rise to smooth
solutions. In the static case, the first order formalism agrees with second
order formalism (using specifically the Friedrichs extension). Applications to
field quantization are also discussed.Comment: 18 pages, 1 figure, AMSLaTeX; v2: expanded discussion of field
quantization, new Proposition 3.1, revised Theorem 4.2, corrected typos, and
updated reference
Naked Singularity and Thunderbolt
We consider quantum theoretical effects of the sudden change of the boundary
conditions which mimics the occurrence of naked singularities. For a simple
demonstration, we study a massless scalar field in -dimensional
Minkowski spacetime with finite spatial interval. We calculate the vacuum
expectation value of the energy-momentum tensor and explicitly show that
singular wave or {\em thunderbolt} appears along the Cauchy horizon. The
thunderbolt possibly destroys the Cauchy horizon if its backreaction on the
geometry is taken into account, leading to quantum restoration of the global
hyperbolicity. The result of the present work may also apply to the situation
that a closed string freely oscillating is traveling to a brane and changes
itself to an open string pinned-down by the ends satisfying the Dirichlet
boundary conditions on the brane.Comment: 12 pages, 1 figure, references added, to appear in Phys. Rev.
Scaling Behaviors of Branched Polymers
We study the thermodynamic behavior of branched polymers. We first study
random walks in order to clarify the thermodynamic relation between the
canonical ensemble and the grand canonical ensemble. We then show that
correlation functions for branched polymers are given by those for
theory with a single mass insertion, not those for the theory
themselves. In particular, the two-point function behaves as , not as
, in the scaling region. This behavior is consistent with the fact that
the Hausdorff dimension of the branched polymer is four.Comment: 17 pages, 3 figure
Note on Gauge Theory on Fuzzy Supersphere
We construct a supermatrix model whose classical background gives
two-dimensional noncommutative supersphere. Quantum fluctuations around it give
the supersymmetric gauge theories on the fuzzy supersphere constructed by
Klimcik. This model has a parameter which can tune masses of the
particles in the model and interpolate various supersymmetric gauge theories on
sphere.Comment: 13 pages, LaTe
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