We correct an inaccurate result of previous work on the Feynman propagator in position space of a free Dirac field in （3 ＋ 1）-dimensional spacetime; we derive the generalized analytic formulas of both the scalar Fe...We correct an inaccurate result of previous work on the Feynman propagator in position space of a free Dirac field in （3 ＋ 1）-dimensional spacetime; we derive the generalized analytic formulas of both the scalar Feynman propagator and the spinor Feynman propagator in position space in arbitrary （D ＋ 1）- dimensional spacetime; and we further find a recurrence relation among the spinor Feynman propagator in （D＋1）-dimensional spacetime and the scalar Feynman propagators in （D＋1）-, （D-1）- and （D＋3）-dimensional spacetimes.展开更多
The Casimir effect for a three-parallel-plate system at finite temperature within the framework of five-dimensional Randall-Sundrum models is studied. In the case of the Randall-Sundrum model involving two branes we f...The Casimir effect for a three-parallel-plate system at finite temperature within the framework of five-dimensional Randall-Sundrum models is studied. In the case of the Randall-Sundrum model involving two branes we find that the Casimir force depends on the plate distance and temperature after one outer plate has been moved to a distant place. Further we discover that the sign of the reduced force is negative if the plate and piston are located close together, but the nature of reduced force becomes repulsive when the plate distance is not very small and finally the repulsive force vanishes with extremely large plate separation. A higher temperature causes a greater repulsive Casimir force. Within the framework of a one-brane scenario the reduced Casimir force between the piston and one plate remains attractive no matter how high the temperature is. It is interesting that a stronger thermal effect leads to a greater attractive Casimir force instead of changing the nature of the force.展开更多
Hawking theoretically discovered the quantum radiation effect of the black holes by using a gravitational colfapsing star model in 1974. This effect is now called Hawking radiation or evaporation. Although Hawking rad...Hawking theoretically discovered the quantum radiation effect of the black holes by using a gravitational colfapsing star model in 1974. This effect is now called Hawking radiation or evaporation. Although Hawking radiation effect (HRE) is not detected by experiments due to the present day technique. many physicists believe that展开更多
In present paper, we calculated the response rate of a static charge outside d-dimensional Gauss-Bonnet black hole in the low-frequency regime, by using the quantization of an electromagnetic field in the background o...In present paper, we calculated the response rate of a static charge outside d-dimensional Gauss-Bonnet black hole in the low-frequency regime, by using the quantization of an electromagnetic field in the background of static spherically symmetric d-dimensional spacetime in the Boulware vacuum, which can be expressed as the summation of hypergeometric functions.展开更多
Since their publications, theories in classical and modern physics have thoroughly studied the essence of matters. However, modern physical models only examined the change on the appearance of substances within its su...Since their publications, theories in classical and modern physics have thoroughly studied the essence of matters. However, modern physical models only examined the change on the appearance of substances within its surrounding space, and it has never involved the study of absolute space as models in modern physics did not endorse the existence of absolute space. This work put in question the theories of higher-dimensional Universe accepted in mainstream physics. In order to reignite discussions in the Essence of the Universe, the author proposed the hypothesis that the Essence of the Universe is the zero-dimensional space and that it does not change accordingly with the change in substances, and that space is only and solely space. This work explored the topic of a zero-dimensional Universe using Western and Eastern philosophical concepts and their derivatives. This work concluded that zero-dimensional space could be a possibility that should be further studied, that the <em>cause</em> and <em>information</em> of Intelligent Energy proposed by the author influenced the motion and change of substances, and that time and force were merely parameters that describe the state of matters.展开更多
The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon. By using the new equation of state density motivated by the generalized uncertainty rel...The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon. By using the new equation of state density motivated by the generalized uncertainty relation, we discuss entropies of Bose field and Fermi field on the background of five-dimensional spacetime. In our calculation, we need not introduce cutoff. There is no divergent logarithmic term in the original brick-wall method. And it is obtained that the quantum statistical en-tropy corresponding to cosmic horizon is proportional to the area of the horizon. Further it is shown that the entropy corresponding to cosmic horizon is the entropy of quantum state on the surface of horizon. The black hole's entropy is the intrinsic property of the black hole. The entropy is a quantum effect. In our calculation, by using the quantum statistical method, we obtain the partition function of Bose field and Fermi field on the background of five-dimensional spacetime. We provide a way to study the quantum statistical entropy corresponding to cosmic horizon in the higher-dimensional spacetime.展开更多
In present paper, by using the quantization of an electromagnetic field in the background of static spherically symmetric d-dimensional spacetime in the Boulware vacuum, we calculated the response rate of a static cha...In present paper, by using the quantization of an electromagnetic field in the background of static spherically symmetric d-dimensional spacetime in the Boulware vacuum, we calculated the response rate of a static charge outside d-dimensional Schwarzschild black hole in the low-frequency regime, which can be expressed as the summation of hypergeometric functions.展开更多
Superstring theory is the most hopeful candidate of the grand unified theory. It requires the background spacetime manifold to have 1+9 dimensions. This idea has stimulated the study of physics in higher dimensional s...Superstring theory is the most hopeful candidate of the grand unified theory. It requires the background spacetime manifold to have 1+9 dimensions. This idea has stimulated the study of physics in higher dimensional spacetime. If the cosmology in very early epoch is higher dimensional spacetime, one may ask, by what way it spontaneously compacts to the present four dimensions? The relations between physical phenomena in higher dimensions and in four dimensions, the mechanisms in the process展开更多
基金Supported by Specialized Research Fund for Doctoral Program of Higher Education (SRFDP) (200805581030)Sun Yet-Sen University Science Foundation and Fundamental Research Funds for the Central Universities
文摘We correct an inaccurate result of previous work on the Feynman propagator in position space of a free Dirac field in （3 ＋ 1）-dimensional spacetime; we derive the generalized analytic formulas of both the scalar Feynman propagator and the spinor Feynman propagator in position space in arbitrary （D ＋ 1）- dimensional spacetime; and we further find a recurrence relation among the spinor Feynman propagator in （D＋1）-dimensional spacetime and the scalar Feynman propagators in （D＋1）-, （D-1）- and （D＋3）-dimensional spacetimes.
基金Supported by NSFC(10875043)Shanghai Research Foundation(07dz22020)
文摘The Casimir effect for a three-parallel-plate system at finite temperature within the framework of five-dimensional Randall-Sundrum models is studied. In the case of the Randall-Sundrum model involving two branes we find that the Casimir force depends on the plate distance and temperature after one outer plate has been moved to a distant place. Further we discover that the sign of the reduced force is negative if the plate and piston are located close together, but the nature of reduced force becomes repulsive when the plate distance is not very small and finally the repulsive force vanishes with extremely large plate separation. A higher temperature causes a greater repulsive Casimir force. Within the framework of a one-brane scenario the reduced Casimir force between the piston and one plate remains attractive no matter how high the temperature is. It is interesting that a stronger thermal effect leads to a greater attractive Casimir force instead of changing the nature of the force.
基金Project supported by the National Natural Science Foundation of China
文摘Hawking theoretically discovered the quantum radiation effect of the black holes by using a gravitational colfapsing star model in 1974. This effect is now called Hawking radiation or evaporation. Although Hawking radiation effect (HRE) is not detected by experiments due to the present day technique. many physicists believe that
文摘In present paper, we calculated the response rate of a static charge outside d-dimensional Gauss-Bonnet black hole in the low-frequency regime, by using the quantization of an electromagnetic field in the background of static spherically symmetric d-dimensional spacetime in the Boulware vacuum, which can be expressed as the summation of hypergeometric functions.
文摘Since their publications, theories in classical and modern physics have thoroughly studied the essence of matters. However, modern physical models only examined the change on the appearance of substances within its surrounding space, and it has never involved the study of absolute space as models in modern physics did not endorse the existence of absolute space. This work put in question the theories of higher-dimensional Universe accepted in mainstream physics. In order to reignite discussions in the Essence of the Universe, the author proposed the hypothesis that the Essence of the Universe is the zero-dimensional space and that it does not change accordingly with the change in substances, and that space is only and solely space. This work explored the topic of a zero-dimensional Universe using Western and Eastern philosophical concepts and their derivatives. This work concluded that zero-dimensional space could be a possibility that should be further studied, that the <em>cause</em> and <em>information</em> of Intelligent Energy proposed by the author influenced the motion and change of substances, and that time and force were merely parameters that describe the state of matters.
基金the National Natural Science Foundation of China (Grant No. 10374075)the Natural Science Foundation of Shanxi Province, China (Grant No. 2006011012)
文摘The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon. By using the new equation of state density motivated by the generalized uncertainty relation, we discuss entropies of Bose field and Fermi field on the background of five-dimensional spacetime. In our calculation, we need not introduce cutoff. There is no divergent logarithmic term in the original brick-wall method. And it is obtained that the quantum statistical en-tropy corresponding to cosmic horizon is proportional to the area of the horizon. Further it is shown that the entropy corresponding to cosmic horizon is the entropy of quantum state on the surface of horizon. The black hole's entropy is the intrinsic property of the black hole. The entropy is a quantum effect. In our calculation, by using the quantum statistical method, we obtain the partition function of Bose field and Fermi field on the background of five-dimensional spacetime. We provide a way to study the quantum statistical entropy corresponding to cosmic horizon in the higher-dimensional spacetime.
文摘In present paper, by using the quantization of an electromagnetic field in the background of static spherically symmetric d-dimensional spacetime in the Boulware vacuum, we calculated the response rate of a static charge outside d-dimensional Schwarzschild black hole in the low-frequency regime, which can be expressed as the summation of hypergeometric functions.
基金Project supported by the National Natural Science Foundation of China.
文摘Superstring theory is the most hopeful candidate of the grand unified theory. It requires the background spacetime manifold to have 1+9 dimensions. This idea has stimulated the study of physics in higher dimensional spacetime. If the cosmology in very early epoch is higher dimensional spacetime, one may ask, by what way it spontaneously compacts to the present four dimensions? The relations between physical phenomena in higher dimensions and in four dimensions, the mechanisms in the process
