The Casimir energy of massive scalar field with hybrid （Diriehlet-Neumann） boundary condition is calculated. In order to regularize the model, the typical methods named as mode summation method and Green＇s function...The Casimir energy of massive scalar field with hybrid （Diriehlet-Neumann） boundary condition is calculated. In order to regularize the model, the typical methods named as mode summation method and Green＇s function method are used respectively. It is found that the regularized zero-point energy density depends on the scalar field＇s mass. When the field is massless, the result is consistent with previous literatures.展开更多
The scope and aim of this work is to describe the two-body interaction mediated by a particle （either the scalar or the gauge boson） within the light-front formulation. To do this, first of all we point out the impo...The scope and aim of this work is to describe the two-body interaction mediated by a particle （either the scalar or the gauge boson） within the light-front formulation. To do this, first of all we point out the importance of propagators and Green functions in Quantum Mechanics. Then we project the covariant quantum propagator onto the light front time to get the propagator for scalar particles in these coordinates. This operator propagates the wave function from x＋ = 0 to x＋ 〉 0. It corresponds to the definition of the time ordering operation in the light front time x＋. We calculate the light-front Green＇s function for 2 interacting bosons propagating forward in x＋. We also show how to write down the light front Green＇s function from the Feynman propagator and finally make a generalization to N bosons.展开更多
We propose a two-component form to describe massive relativistic fermions in gauge theories. Relations between the Green＇s functions in this form and those in the conventional four-component form are derived. It is s...We propose a two-component form to describe massive relativistic fermions in gauge theories. Relations between the Green＇s functions in this form and those in the conventional four-component form are derived. It is shown that the S-matrix elements in both forms are exactly the same. The description of the fermion in the new form simplifies significantly the γ-matrix algebra in the four-component form. In particular, in perturbative calculations the propagator of the fermion is a scalar function. As examples, we use this form to reproduce the relativistic spectrum of hydrodron atom, the S-matrix of e＋e-→μ＋μ- and QED one-loop vacuum polarization of photon.展开更多
We study the scalar and fermionic retarded Green＇s function on the background with hyperscMing violation by means of the prescriptions proposed in [J. High Eergy Phys. 09 （2002） 042; Fortsch. Phys. 57 （2009） 367]...We study the scalar and fermionic retarded Green＇s function on the background with hyperscMing violation by means of the prescriptions proposed in [J. High Eergy Phys. 09 （2002） 042; Fortsch. Phys. 57 （2009） 367]. For scalar field, we consider both massless and massive cases, and for spinor field, we further calculate the finite temperature correlator with the black hole background.展开更多
基金supported by National Natural Science Foundation of China under Grant Nos.10773002 and 10875012the National Fundamental Research Program of China under Grant No.2003CB716302
文摘The Casimir energy of massive scalar field with hybrid （Diriehlet-Neumann） boundary condition is calculated. In order to regularize the model, the typical methods named as mode summation method and Green＇s function method are used respectively. It is found that the regularized zero-point energy density depends on the scalar field＇s mass. When the field is massless, the result is consistent with previous literatures.
文摘The scope and aim of this work is to describe the two-body interaction mediated by a particle （either the scalar or the gauge boson） within the light-front formulation. To do this, first of all we point out the importance of propagators and Green functions in Quantum Mechanics. Then we project the covariant quantum propagator onto the light front time to get the propagator for scalar particles in these coordinates. This operator propagates the wave function from x＋ = 0 to x＋ 〉 0. It corresponds to the definition of the time ordering operation in the light front time x＋. We calculate the light-front Green＇s function for 2 interacting bosons propagating forward in x＋. We also show how to write down the light front Green＇s function from the Feynman propagator and finally make a generalization to N bosons.
基金Supported by National Natural Science Foundation of China under Grant No. 10475103
文摘We propose a two-component form to describe massive relativistic fermions in gauge theories. Relations between the Green＇s functions in this form and those in the conventional four-component form are derived. It is shown that the S-matrix elements in both forms are exactly the same. The description of the fermion in the new form simplifies significantly the γ-matrix algebra in the four-component form. In particular, in perturbative calculations the propagator of the fermion is a scalar function. As examples, we use this form to reproduce the relativistic spectrum of hydrodron atom, the S-matrix of e＋e-→μ＋μ- and QED one-loop vacuum polarization of photon.
文摘We study the scalar and fermionic retarded Green＇s function on the background with hyperscMing violation by means of the prescriptions proposed in [J. High Eergy Phys. 09 （2002） 042; Fortsch. Phys. 57 （2009） 367]. For scalar field, we consider both massless and massive cases, and for spinor field, we further calculate the finite temperature correlator with the black hole background.
