286 research outputs found
Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
Radiative corrections arising from Lorentz violation in the fermion sector
induce a nonzero amplitude for vacuum photon splitting. At one loop, the
on-shell amplitude acquires both CPT-even and CPT-odd contributions forbidden
in conventional electrodynamics.Comment: 4 pages, minor wording changes, references added, accepted in
Physical Review Letter
Sensitivity of CPT Tests with Neutral Mesons
The sensitivity of experiments with neutral mesons to possible indirect CPT
violation is examined. It is shown that experiments conventionally regarded as
equivalent can have CPT reaches differing by orders of magnitude within the
framework of a minimal CPT- and Lorentz-violating extension of the standard
model.Comment: 4 pages REVTeX, published in Physical Review Letter
Stability, Causality, and Lorentz and CPT Violation
Stability and causality are investigated for quantum field theories
incorporating Lorentz and CPT violation. Explicit calculations in the quadratic
sector of a general renormalizable lagrangian for a massive fermion reveal that
no difficulty arises for low energies if the parameters controlling the
breaking are small, but for high energies either energy positivity or
microcausality is violated in some observer frame. However, this can be avoided
if the lagrangian is the sub-Planck limit of a nonlocal theory with spontaneous
Lorentz and CPT violation. Our analysis supports the stability and causality of
the Lorentz- and CPT-violating standard-model extension that would emerge at
low energies from spontaneous breaking in a realistic string theory.Comment: 20 pages, accepted for publication in Physical Review
Spacetime-varying couplings and Lorentz violation
Spacetime-varying coupling constants can be associated with violations of
local Lorentz invariance and CPT symmetry. An analytical supergravity cosmology
with time-varying fine-structure constant provides an explicit example.
Estimates are made for some experimental constraints.Comment: 4 page
Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
Clock-comparison experiments conducted in space can provide access to many
unmeasured coefficients for Lorentz and CPT violation. The orbital
configuration of a satellite platform and the relatively large velocities
attainable in a deep-space mission would permit a broad range of tests with
Planck-scale sensitivity.Comment: 4 page
Cosmological Constraints on Lorentz Violation in Electrodynamics
Infrared, optical, and ultraviolet spectropolarimetry of cosmological sources
is used to constrain the pure electromagnetic sector of a general
Lorentz-violating standard-model extension. The coefficients for Lorentz
violation are bounded to less than 3x10^{-32}.Comment: 4 pages, accepted for publication in Physical Review Letter
One-Loop Renormalization of Lorentz-Violating Electrodynamics
We show that the general Lorentz- and CPT-violating extension of quantum
electrodynamics is one-loop renormalizable. The one-loop Lorentz-violating beta
functions are obtained, and the running of the coefficients for Lorentz and CPT
violation is determined. Some implications for theory and experiment are
discussed.Comment: 12 pages, accepted for publication in Physical Review
Neutrinos with Lorentz-violating operators of arbitrary dimension
The behavior of fermions in the presence of Lorentz and CPT violation is
studied. Allowing for operators of any mass dimension, we classify all
Lorentz-violating terms in the quadratic Lagrange density for free fermions.
The result is adapted to obtain the effective hamiltonian describing the
propagation and mixing of three flavors of left-handed neutrinos in the
presence of Lorentz violation involving operators of arbitrary mass dimension.
A characterization of the neutrino coefficients for Lorentz violation is
provided via a decomposition using spin-weighted spherical harmonics. The
restriction of the general theory to various special cases is discussed,
including among others the renormalizable limit, the massless scenario,
flavor-blind and oscillation-free models, the diagonalizable case, and several
isotropic limits. The formalism is combined with existing data on neutrino
oscillations and kinematics to extract a variety of measures of coefficients
for Lorentz and CPT violation. For oscillations, we use results from the
short-baseline experiments LSND and MiniBooNE to obtain explicit sensitivities
to effects from flavor-mixing Lorentz-violating operators up to mass dimension
10, and we present methods to analyze data from long-baseline experiments. For
propagation, we use time-of-flight measurements from the supernova SN1987A and
from a variety of experiments including MINOS and OPERA to constrain
oscillation-free Lorentz-violating operators up to mass dimension 10, and we
discuss constraints from threshold effects in meson decays and Cherenkov
emission.Comment: 35 pages two-column REVTe
Self-Maintained Coherent Oscillations in Dense Neutrino Gases
We present analytical solutions to the nonlinear equations describing the
behavior of a gas of neutrinos with two flavors. Self-maintained coherent
flavor oscillations are shown to occur when the gas density exceeds a critical
value determined by the neutrino masses and the mean neutrino energy in the
gas. Similar oscillations may have occurred in the early Universe.Comment: To appear in Physical Review D, July 199
Coherent States for Unusual Potentials
The program to construct minimum-uncertainty coherent states for general
potentials works transparently with solvable analytic potentials. However, when
an analytic potential is not completely solvable, like for a double-well or the
linear (gravitational) potential, there can be a conundrum. Motivated by
supersymmetry concepts in higher dimensions, we show how these conundrums can
be overcome.Comment: 10 pages, 3 figures, added info in Ref.
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