Scalar Green's functions in an Euclidean space with a conical-type line singularity

Guimarães, M. E. X.; Linet, B.

doi:10.1007/bf02099773

Cited by 81 publications

(108 citation statements)

References 23 publications

Supporting

Mentioning

102

Contrasting

Order By: Relevance

“…Such scalar Green's functions have been previously derived by Guimarães and Linet [6]. In the usual case where metric (1) describes a cone (B ≤ 1), we have the following…”

Section: Determination Of Smentioning

confidence: 86%

Euclidean spinor Green’s functions in the space–time of a straight cosmic string

Linet

1995

Journal of Mathematical Physics

Self Cite

View full text Add to dashboard Cite

The spinor Green's function and the twisted spinor Green's function in an Euclidean space with a conical-type line singularity are generally determined. In particular, in the neighbourhood of the point source, they are expressed as a sum of the usual Euclidean spinor Green's function and a regular term. In four dimension, these determinations can be used to calculate the vacuum energy density and the twisted one for a massless spinor field in the spacetime of a straight *

show abstract

“…Such scalar Green's functions have been previously derived by Guimarães and Linet [6]. In the usual case where metric (1) describes a cone (B ≤ 1), we have the following…”

Section: Determination Of Smentioning

confidence: 86%

Euclidean spinor Green’s functions in the space–time of a straight cosmic string

Linet

1995

Journal of Mathematical Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…A few years later this analysis, for an idealized cosmic string spacetime, has been considered by Guimarães and Linet [12]; however the magnetic flux was considered as being a line running through the string. The effect of the temperature on this vacuum polarization was also investigated by Guimarães in [13].…”

Section: Introductionmentioning

confidence: 99%

Vacuum Polarization by a Magnetic Flux Tube at Finite Temperature in the Cosmic String Space–time

Spinelly

Mello

2009

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

In this paper we analyse the effect produced by the temperature in the vacuum polarization associated with charged massless scalar field in the presence of magnetic flux tube in the cosmic string spacetime. Three different configurations of magnetic fields are taken into account: (i) a homogeneous field inside the tube, (ii) a field proportional to 1/r and (iii) a cylindrical shell with δ-function. In these three cases, the axis of the infinitely long tube of radius R coincides with the cosmic string. Because the complexity of this analysis in the region inside the tube, we consider the thermal effect in the region outside. In order to develop this analysis, we construct the thermal Green function associated with this system for the three above mentioned situations considering points in the region outside the tube. We explicitly calculate in the high-temperature limit, the thermal average of the field square and the energy-momentum tensor.

show abstract

“…Recently, some authors have investigated the effects of temperature on the vacuum polarization effects in the cosmic string spacetime [3,4,5]. The standard procedure to introduce temperature effects is by calculating the thermal Euclidean Green function.…”

Section: Introductionmentioning

confidence: 99%

Vacuum Polarization in the Presence of Magnetic Flux at Finite Temperature in the Cosmic String Background

Spinelly

Mello

2007

Proceedings of Fifth International Conference on Mathematical Methods in Physics — PoS(IC2006)

View full text Add to dashboard Cite

In this paper we analyse the vacuum polarization effect associated with the charged massless scalar field, in the presence of magnetic flux at finite temperature, in the cosmic string background. We consider a spacetime of an idealized cosmic string which presents a magnetic field confined in a cylindrical tube of finite radius. Two different situations are taken into account in our analysis: (i) a homogeneous field inside the tube and (ii) a magnetic field proportional to 1 ¡ r. In these two cases, the axis of the infinitely long tube of radius R coincides with the cosmic string. Specifically, we calculate the effects produced by the temperature in the renormalized vacuum expectation value of the square of the charged massless scalar field,. Therefore, in order to realize these analysis, we calculate the Euclidean Green function associated with this field in this background.

show abstract

Scalar Green's functions in an Euclidean space with a conical-type line singularity

Cited by 81 publications

References 23 publications

Euclidean spinor Green’s functions in the space–time of a straight cosmic string

Euclidean spinor Green’s functions in the space–time of a straight cosmic string

Vacuum Polarization by a Magnetic Flux Tube at Finite Temperature in the Cosmic String Space–time

Vacuum Polarization in the Presence of Magnetic Flux at Finite Temperature in the Cosmic String Background

Contact Info

Product

Resources

About