4,460 research outputs found
Considering relativistic symmetry as the first principle of quantum mechanics
On the basis of the relativistic symmetry of Minkowski space, we derive a
Lorentz invariant equation for a spread electron. This equation slightly
differs from the Dirac equation and includes additional terms originating from
the spread of an electron. Further, we calculate the anomalous magnetic moment
based on these terms. These calculations do not include any divergence;
therefore, renormalization procedures are unnecessary. In addition, the
relativistic symmetry existing among coordinate systems will provide a new
prospect for the foundations of quantum mechanics like the measurement process.Comment: LaTeX2e, 18 pages, no figure; The subsection Self-energy estimation
was improved; Accepted for publication in EJT
Phase structure of matrix quantum mechanics at finite temperature
We study matrix quantum mechanics at finite temperature by Monte Carlo
simulation. The model is obtained by dimensionally reducing 10d U(N) pure
Yang-Mills theory to 1d. Following Aharony et al., one can view the same model
as describing the high temperature regime of (1+1)d U(N) super Yang-Mills
theory on a circle. In this interpretation an analog of the deconfinement
transition was conjectured to be a continuation of the black-hole/black-string
transition in the dual gravity theory. Our detailed analysis in the critical
regime up to N=32 suggests the existence of the non-uniform phase, in which the
eigenvalue distribution of the holonomy matrix is non-uniform but gapless. The
transition to the gapped phase is of second order. The internal energy is
constant (giving the ground state energy) in the uniform phase, and rises
quadratically in the non-uniform phase, which implies that the transition
between these two phases is of third order.Comment: 17 pages, 9 figures, (v2) refined arguments in section 3 ; reference
adde
Nonlinear wave propagation through cold plasma
Electromagnetic wave propagation through cold collision free plasma is
studied using the nonlinear perturbation method. It is found that the equations
can be reduced to the modified Kortweg-de Vries equation
High temperature expansion in supersymmetric matrix quantum mechanics
We formulate the high temperature expansion in supersymmetric matrix quantum
mechanics with 4, 8 and 16 supercharges. The models can be obtained by
dimensionally reducing N=1 U(N) super Yang-Mills theory in D=4,6,10 to 1
dimension, respectively. While the non-zero frequency modes become weakly
coupled at high temperature, the zero modes remain strongly coupled. We find,
however, that the integration over the zero modes that remains after
integrating out all the non-zero modes perturbatively, reduces to the
evaluation of connected Green's functions in the bosonic IKKT model. We perform
Monte Carlo simulation to compute these Green's functions, which are then used
to obtain the coefficients of the high temperature expansion for various
quantities up to the next-leading order. Our results nicely reproduce the
asymptotic behaviors of the recent simulation results at finite temperature. In
particular, the fermionic matrices, which decouple at the leading order, give
rise to substantial effects at the next-leading order, reflecting finite
temperature behaviors qualitatively different from the corresponding models
without fermions.Comment: 17 pages, 13 figures, (v2) some typos correcte
Exact fuzzy sphere thermodynamics in matrix quantum mechanics
We study thermodynamical properties of a fuzzy sphere in matrix quantum
mechanics of the BFSS type including the Chern-Simons term. Various quantities
are calculated to all orders in perturbation theory exploiting the one-loop
saturation of the effective action in the large-N limit. The fuzzy sphere
becomes unstable at sufficiently strong coupling, and the critical point is
obtained explicitly as a function of the temperature. The whole phase diagram
is investigated by Monte Carlo simulation. Above the critical point, we obtain
perfect agreement with the all order results. In the region below the critical
point, which is not accessible by perturbation theory, we observe the Hagedorn
transition. In the high temperature limit our model is equivalent to a totally
reduced model, and the relationship to previously known results is clarified.Comment: 22 pages, 14 figures, (v2) some typos correcte
Phylogenetic relationships among Aegilops-Triticum species based on sequence data of chloroplast DNA
Stabilized Kuramoto-Sivashinsky system
A model consisting of a mixed Kuramoto - Sivashinsky - KdV equation, linearly
coupled to an extra linear dissipative equation, is proposed. The model applies
to the description of surface waves on multilayered liquid films. The extra
equation makes its possible to stabilize the zero solution in the model,
opening way to the existence of stable solitary pulses (SPs). Treating the
dissipation and instability-generating gain in the model as small
perturbations, we demonstrate that balance between them selects two
steady-state solitons from their continuous family existing in the absence of
the dissipation and gain. The may be stable, provided that the zero solution is
stable. The prediction is completely confirmed by direct simulations. If the
integration domain is not very large, some pulses are stable even when the zero
background is unstable. Stable bound states of two and three pulses are found
too. The work was supported, in a part, by a joint grant from the Israeli
Minsitry of Science and Technology and Japan Society for Promotion of Science.Comment: A text file in the latex format and 20 eps files with figures.
Physical Review E, in pres
Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
In this paper we consider black p-branes on square torus. We find an
indication of a cascade of Gregory-Laflamme transitions between black p-brane
and (p-1)-brane. Through AdS/CFT correspondence, these transitions are related
to the breakdown of the U(1) symmetry in super Yang-Mills on torus. We argue a
relationship between the cascade and recent Monte-Carlo data.Comment: 15 pages, 3 figures, LaTeX, v2: comments and references added, v3:
minor changes and a reference adde
Stable periodic waves in coupled Kuramoto-Sivashinsky - Korteweg-de Vries equations
Periodic waves are investigated in a system composed of a
Kuramoto-Sivashinsky - Korteweg-de Vries (KS-KdV) equation, which is linearly
coupled to an extra linear dissipative equation. The model describes, e.g., a
two-layer liquid film flowing down an inclined plane. It has been recently
shown that the system supports stable solitary pulses. We demonstrate that a
perturbation analysis, based on the balance equation for the field momentum,
predicts the existence of stable cnoidal waves (CnWs) in the same system. It is
found that the mean value U of the wave field u in the main subsystem, but not
the mean value of the extra field, affects the stability of the periodic waves.
Three different areas can be distinguished inside the stability region in the
parameter plane (L,U), where L is the wave's period. In these areas, stable
are, respectively, CnWs with positive velocity, constant solutions, and CnWs
with negative velocity. Multistability, i.e., the coexistence of several
attractors, including the waves with several maxima per period, appears at
large value of L. The analytical predictions are completely confirmed by direct
simulations. Stable waves are also found numerically in the limit of vanishing
dispersion, when the KS-KdV equation goes over into the KS one.Comment: a latex text file and 16 eps files with figures. Journal of the
Physical Society of Japan, in pres
- …