10,050 research outputs found
Quantum Correction to the Entropy of the (2+1)-Dimensional Black Hole
The thermodynamic properties of the (2+1)-dimensional non-rotating black hole
of Ba\~nados, Teitelboim and Zanelli are discussed. The first quantum
correction to the Bekenstein-Hawking entropy is evaluated within the on-shell
Euclidean formalism, making use of the related Chern-Simons representation of
the 3-dimensional gravity. Horizon and ultraviolet divergences in the quantum
correction are dealt with a renormalization of the Newton constant. It is
argued that the quantum correction due to the gravitational field shrinks the
effective radius of a hole and becomes more and more important as soon as the
evaporation process goes on, while the area law is not violated.Comment: 14 pages, Latex, one new reference adde
Systematic quantum corrections to screening in thermonuclear fusion
We develop a series expansion of the plasma screening length away from the
classical limit in powers of . It is shown that the leading order
quantum correction increases the screening length in solar conditions by
approximately 2% while it decreases the fusion rate by approximately .
We also calculate the next higher order quantum correction which turns out to
be approximately 0.05%
Inconsistency of Naive Dimensional Regularizations and Quantum Correction to Non-Abelian Chern-Simons-Matter Theory Revisited
We find the inconsistency of dimensional reduction and naive dimensional
regularization in their applications to Chern-Simons type gauge theories.
Further we adopt a consistent dimensional regularization to investigate the
quantum correction to non-Abelian Chern-Simons term coupled with fermionic
matter. Contrary to previous results, we find that not only the Chern-Simons
coefficient receives quantum correction from spinor fields, but the spinor
field also gets a finite quantum correction.Comment: 19 pages, RevTex, Feynman diagrams drawn by FEYNMAN routin
OPERA data and The Equivalence Postulate of Quantum Mechanics
An interpretation of the recent results reported by the OPERA collaboration
is that neutrinos propagation in vacuum exceeds the speed of light. It has been
further been suggested that this interpretation can be attributed to the
variation of the particle speed arising from the Relativistic Quantum Hamilton
Jacobi Equation. I show that this is in general not the case. I derive an
expression for the quantum correction to the instantaneous relativistic
velocity in the framework of the relativistic quantum Hamilton-Jacobi equation,
which is derived from the equivalence postulate of quantum mechanics. While the
quantum correction does indicate deviations from the classical energy--momentum
relation, it does not necessarily lead to superluminal speeds. The quantum
correction found herein has a non-trivial dependence on the energy and mass of
the particle, as well as on distance travelled. I speculate on other possible
observational consequences of the equivalence postulate approach.Comment: 8 pages. Standard LaTex. References adde
Transgressing the horizons: Time operator in two-dimensional dilaton gravity
We present a Dirac quantization of generic single-horizon black holes in
two-dimensional dilaton gravity. The classical theory is first partially
reduced by a spatial gauge choice under which the spatial surfaces extend from
a black or white hole singularity to a spacelike infinity. The theory is then
quantized in a metric representation, solving the quantum Hamiltonian
constraint in terms of (generalized) eigenstates of the ADM mass operator and
specifying the physical inner product by self-adjointness of a time operator
that is affinely conjugate to the ADM mass. Regularity of the time operator
across the horizon requires the operator to contain a quantum correction that
distinguishes the future and past horizons and gives rise to a quantum
correction in the hole's surface gravity. We expect a similar quantum
correction to be present in systems whose dynamics admits black hole formation
by gravitational collapse.Comment: 32 pages, 1 eps figure. v2: references and comments adde
Effective Finite Temperature Partition Function for Fields on Non-Commutative Flat Manifolds
The first quantum correction to the finite temperature partition function for
a self-interacting massless scalar field on a dimensional flat manifold
with non-commutative extra dimensions is evaluated by means of dimensional
regularization, suplemented with zeta-function techniques. It is found that the
zeta function associated with the effective one-loop operator may be nonregular
at the origin. The important issue of the determination of the regularized
vacuum energy, namely the first quantum correction to the energy in such case
is discussed.Comment: amslatex, 14 pages, to appear in Phys. Rev.
On the Quantum Corrections to the Newtonian Potential
The leading long-distance quantum correction to the Newtonian potential for
heavy spinless particles is computed in quantum gravity. The potential is
obtained directly from the sum of all graviton exchange diagrams contributing
to lowest non-trivial order to the scattering amplitude. The calculation
correctly reproduces the leading classical relativistic post-Newtonian
correction. The sign of the perturbative quantum correction would indicate
that, in the absence of a cosmological constant, quantum effects lead to a slow
increase of the gravitational coupling with distance.Comment: revised version, references added, 12 pages, postscript, 2 figure
First-order quantum correction to the Larmor radiation from a moving charge in a spatially homogeneous time-dependent electric field
First-order quantum correction to the Larmor radiation is investigated on the
basis of the scalar QED on a homogeneous background of time-dependent electric
field, which is a generalization of a recent work by Higuchi and Walker so as
to be extended for an accelerated charged particle in a relativistic motion. We
obtain a simple approximate formula for the quantum correction in the limit of
the relativistic motion when the direction of the particle motion is parallel
to that of the electric field.Comment: 12 pages, 2 figures, accepted for publication in Physical Review
Quantum corrections to the conductivity of fermion - gauge field models: Application to half filled Landau level and high- superconductors
We calculate the Altshuler-Aronov type quantum correction to the conductivity
of charge carriers in a random potential (or random magnetic field)
coupled to a transverse gauge field. The gauge fields considered simulate the
effect of the Coulomb interaction for the fractional quantum Hall state at half
filling and for the model of high- superconducting compounds. We
find an unusually large quantum correction varying linearly or quadratically
with the logarithm of temperature, in different temperature regimes.Comment: 12 pages REVTEX, 1 figure. The figure is added and minor misprints
are correcte
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