6,720 research outputs found
Thermodynamic phase transition of a black hole in rainbow gravity
In this letter, using the rainbow functions that were proposed by Magueijo
and Smolin, we investigate the thermodynamics and the phase transition of
rainbow Schwarzschild black hole. First, we calculate the rainbow gravity
corrected Hawking temperature. From this modification, we then derive the local
temperature, free energy, and other thermodynamic quantities in an isothermal
cavity. Finally, we analyze the critical behavior, thermodynamic stability, and
phase transition of the rainbow Schwarzschild black hole. The results show that
the rainbow gravity can stop the Hawking radiation in the final stages of black
holes' evolution and lead to the remnants of black holes. Furthermore, one can
observe that the rainbow Schwarzschild black hole has one first-order phase
transition, two second-order phase transitions, and three Hawking-Page-type
phase transitions in the framework of rainbow gravity theory.Comment: 7 pages, 3 figures, accepted for publication in Physical Letter B.
arXiv admin note: substantial text overlap with arXiv:1608.0682
Rainbow gravity corrections to the entropic force
The entropic force attracts a lot of interest for its multifunctional
properties. For instance, Einstein's field equation, Newton's law of
gravitation and the Friedmann equation can be derived from the entropic force.
In this paper, utilizing a new kind of rainbow gravity model that was proposed
by Magueijo and Smolin, we explore the quantum gravity corrections to the
entropic force. First, we derive the modified thermodynamics of a rainbow black
hole via its surface gravity. Then, according to Verlinde's theory, the quantum
corrections to the entropic force are obtained. The result shows that the
modified entropic force is related not only to the properties of the black hole
but also the Planck length , and the rainbow parameter .
Furthermore, based on the rainbow gravity corrected entropic force, the
modified Einstein's field equation and the modified Friedmann equation are also
derived.Comment: 10 page
On explicit free field realizations of current algebras
We construct the explicit free field representations of the current algebras
, and for a generic positive integer and
an arbitrary level . The corresponding energy-momentum tensors and screening
currents of the first kind are also given in terms of free fields.Comment: Latex file, 25 page
Multiple reference states and complete spectrum of the Belavin model with open boundaries
The multiple reference state structure of the Belavin model with
non-diagonal boundary terms is discovered. It is found that there exist
reference states, each of them yields a set of eigenvalues and Bethe Ansatz
equations of the transfer matrix. These sets of eigenvalues together
constitute the complete spectrum of the model. In the quasi-classic limit, they
give the complete spectrum of the corresponding Gaudin model.Comment: Latex file, 24 page
Q-operator and T-Q relation from the fusion hierarchy
We propose that the Baxter -operator for the spin-1/2 XXZ quantum spin
chain is given by the limit of the transfer matrix with spin-
(i.e., -dimensional) auxiliary space. Applying this observation to the
open chain with general (nondiagonal) integrable boundary terms, we obtain from
the fusion hierarchy the - relation for {\it generic} values (i.e. not
roots of unity) of the bulk anisotropy parameter. We use this relation to
determine the Bethe Ansatz solution of the eigenvalues of the fundamental
transfer matrix. This approach is complementary to the one used recently to
solve the same model for the roots of unity case.Comment: Latex file, 12 pages; V2, misprints corrected and references adde
Determinant Representation of Correlation Functions for the Free Fermion Model
With the help of the factorizing -matrix, the scalar products of the
free fermion model are represented by determinants. By means of
these results, we obtain the determinant representations of correlation
functions of the model.Comment: Latex File, 20 pages, V.3: some discussions are added, V.4 Reference
update, this version will appear in J. Math. Phy
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