45 research outputs found
Can gravitational dynamics be obtained by diffeomorphism invariance of action?
It has recently been suggested that the gravitational dynamics could be
obtained by requiring the action to be invariant under diffeomorphism
transformations. We argue that the action constructed in usual way is
automatically diffeomorphism invariant in nature, which thus invalidates this
alternative perspective to obtain gravitational dynamics. Especially, we also
show what is wrong with the technical derivation of gravitational dynamics in
the alternative approach.Comment: version published in PR
Note on the thermal history of decoupled massive particles
This note provides an alternative approach to the momentum decay and thermal
evolution of decoupled massive particles. Although the ingredients in our
results have been addressed in Ref.\cite{Weinberg}, the strategies employed
here are simpler, and the results obtained here are more general.Comment: JHEP style, 4 pages, to appear in CQ
Holographic non-relativistic fermionic fixed point and bulk dipole coupling
Inspired by the recently discovered non-relativistic fermionic fixed points,
we investigate how the presence of bulk dipole coupling modifies the spectral
function at one of these novel fixed points. As a result, although the infinite
flat band is always visible in the presence of the bulk dipole coupling as well
as chemical potential, the band is modified in a remarkable way at small
momenta up to the order of magnitude of bulk dipole coupling. On the other
hand, like a phoenix, a new Fermi surface sprouts from the formed gap when the
bulk dipole coupling is pushed up further such as to overshadow the charge
parameter, which is obviously different from what is found at the relativistic
fixed points.Comment: JHEP style, 1+17 pages, 9 figures, 1 table, typos corrected,
references added, version to appear in JHE
Quantum Entanglement of Electromagnetic Fields in Non-inertial Reference Frames
Recently relativistic quantum information has received considerable attention
due to its theoretical importance and practical application. Especially,
quantum entanglement in non-inertial reference frames has been studied for
scalar and Dirac fields. As a further step along this line, we here shall
investigate quantum entanglement of electromagnetic fields in non-inertial
reference frames. In particular, the entanglement of photon helicity entangled
state is extensively analyzed. Interestingly, the resultant logarithmic
negativity and mutual information remain the same as those for inertial
reference frames, which is completely different from that previously obtained
for the particle number entangled state.Comment: more explanatory material added in the introduction, version to
appear in Journal of Physics
Consistency Conditions on S-Matrix of Spin 1 Massless Particles
Motivated by new techniques in the computation of scattering amplitudes of
massless particles in four dimensions, like BCFW recursion relations, the
question of how much structure of the S-matrix can be determined from purely
S-matrix arguments has received new attention. The BCFW recursion relations for
massless particles of spin 1 and 2 imply that the whole tree-level S-matrix can
be determined in terms of three-particle amplitudes (evaluated at complex
momenta). However, the known proofs of the validity of the relations rely on
the Lagrangian of the theory, either by using Feynman diagrams explicitly or by
studying the effective theory at large complex momenta. This means that a
purely S-matrix theoretic proof of the relations is still missing. The aim of
this paper is to provide such a proof for spin 1 particles by extending the
four-particle test introduced by P. Benincasa and F. Cachazo in
arXiv:0705.4305[hep-th] to all particles. We show how n-particle tests imply
that the rational function built from the BCFW recursion relations possesses
all the correct factorization channels including holomorphic and
anti-holomorphic collinear limits. This in turn implies that they give the
correct S-matrix of the theory.Comment: 24 pages, 4 figure
symmetry and quasi-normal modes in the BTZ black hole
With the help of two new intrinsic tensor fields associated with the
quadratic Casimir of Killing fields, we uncover the
symmetry satisfied by the solutions to the equations of motion for various
fields in the BTZ black hole in a uniform way by performing tensor and spinor
analysis without resorting to any specific coordinate system. Then with the
standard algebraic method developed recently, we determine the quasi-normal
modes for various fields in the BTZ black hole. As a result, the quasi-normal
modes are given by the infinite tower of descendants of the chiral highest
weight mode, which is in good agreement with the previous analytic result
obtained by exactly solving equations of motion instead.Comment: JHEP style, 1+13 pages, version to appear in JHE
Covariant entropy conjecture and concordance cosmological models
Recently a covariant entropy conjecture has been proposed for dynamical
horizons. We apply this conjecture to concordance cosmological models, namely,
those cosmological models filled with perfect fluids, in the presence of a
positive cosmological constant. As a result, we find this conjecture has a
severe constraint power. Not only does this conjecture rule out those
cosmological models disfavored by the anthropic principle, but also it imposes
an upper bound on the cosmological constant for our own universe,
which thus provides an alternative macroscopic perspective for understanding
the long-standing cosmological constant problem.Comment: 10 pages, 1 figure, JHEP style, references added, published versio
Can the Copernican principle be tested by cosmic neutrino background?
The Copernican principle, stating that we do not occupy any special place in
our universe, is usually taken for granted in modern cosmology. However recent
observational data of supernova indicate that we may live in the under-dense
center of our universe, which makes the Copernican principle challenged. It
thus becomes urgent and important to test the Copernican principle via
cosmological observations. Taking into account that unlike the cosmic photons,
the cosmic neutrinos of different energies come from the different places to us
along the different worldlines, we here propose cosmic neutrino background as a
test of the Copernican principle. It is shown that from the theoretical
perspective cosmic neutrino background can allow one to determine whether the
Copernican principle is valid or not, but to implement such an observation the
larger neutrino detectors are called for.Comment: JHEP style, 10 pages, 4 figures, version to appear in JCA
Quantum Helicity Entropy of Moving Bodies
Lorentz transformation of the reduced helicity density matrix for a massive
spin 1/2 particle is investigated in the framework of relativistic quantum
information theory for the first time. The corresponding helicity entropy is
calculated, which shows no invariant meaning as that of spin. The variation of
the helicity entropy with the relative speed of motion of inertial observers,
however, differs significantly from that of spin due to their distinct
transformation behaviors under the action of Lorentz group. This novel and odd
behavior unique to the helicity may be readily detected by high energy physics
experiments. The underlying physical explanations are also discussed.Comment: version to appear in Journal of Physics A as a Fast Track
Communicatio
Holographic non-relativistic fermionic fixed point by the charged dilatonic black hole
Driven by the landscape of garden-variety condensed matter systems, we have
investigated how the dual spectral function behaves at the non-relativistic as
well as relativistic fermionic fixed point by considering the probe Dirac
fermion in an extremal charged dilatonic black hole with zero entropy. Although
the pattern for both of the appearance of flat band and emergence of Fermi
surface is qualitatively similar to that given by the probe fermion in the
extremal Reissner-Nordstrom AdS black hole, we find a distinctly different low
energy behavior around the Fermi surface, which can be traced back to the
different near horizon geometry. In particular, with the peculiar near horizon
geometry of our extremal charged dilatonic black hole, the low energy behavior
exhibits the universal linear dispersion relation and scaling property, where
the former indicates that the dual liquid is a Fermi one while the latter
implies that the dual liquid is not exactly of Landau Fermi type