Magnetic field corrections to the repulsive Casimir effect at finite temperature

Erdas, Andrea

doi:10.1142/s0217751x16500184

Cited by 2 publications

(2 citation statements)

References 23 publications

(35 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Whereas, the Casimir energy and its related force were defined as the difference between two vacuum energies in presence and absence of BCs, this topic was found unavoidably related to all sorts of BCs imposed on quantum fields [1]. In a vast array of previous papers, the Casimir energy was discussed in multiple geometries with different BCs [2,3,4,5,6,7,8]. Bordag et al conducted the first study on the Casimir energy for self-interacting quantum field theory [9], and later it was also found an increasing attention for multiple BCs in different geometries [10].…”

Section: Introductionmentioning

confidence: 99%

The Casimir energy for scalar field with mixed boundary condition

Valuyan

2018

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

In the present study, the first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann) between two points in φ 4 theory was computed. Two issues in performing the calculations in this work are essential: to renormalize the bare parameters of the problem, a systematic method was employed, allowing all influences from the boundary conditions to be imported in all elements of the renormalization program. This idea yields our counterterms appeared in the renormalization program to be position-dependent. Using the Box Subtraction Scheme (BSS) as a regularization technique is the other noteworthy point in the calculation. In this scheme, by subtracting the vacuum energies of two similar configurations from each other, regularizing divergent expressions and their removal process were significantly facilitated. All the obtained answers for the Casimir energy with the mixed boundary condition were consistent with well-known physical grounds. We also compared the Casimir energy for massive scalar field confined with four types of boundary conditions (Dirichlet, Neumann, mixed of them and Periodic) in 1 + 1 dimensions with each other, and the sign and magnitude of their values were discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

The Casimir energy for scalar field with mixed boundary condition

Valuyan

2018

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

show abstract

“…Comparisons with results found in the literature [34][35][36] for scalar and spinor fields in the presence of an ordinary magnetic field will be made. Therefore, the present paper seeks to investigate the effects on the boundaries of the quantum vacuum associated to the Abelian SU(2)Yang-Mills field fluctuations in the chromomagnetic-like background, considering also the presence of nontrivial topologies.…”

Section: Introductionmentioning

confidence: 92%

Quantum Vacuum Fluctuations in a Chromomagnetic-Like Background

et al. 2018

View full text Add to dashboard Cite

In this paper we study the effects associated to quantum vacuum fluctuations of vectorial perturbations of the Abelian SU(2) Yang-Mills field in a static and homogeneous chromomagnetic-like background field, at zero temperature. We use periodic and antiperiodic boundary conditions in order to calculate the Casimir energy by means of the frequency sum technique and of the regularization method based on zeta functions, analyzing its behavior in the weak and strong coupling regimes. We compare the obtained results with the similar ones found for scalar and spinor fields placed in an ordinary magnetic field background. We show that only in the weak coupling regime the non-trivial topology of the system encoded in the antiperiodic boundary conditions changes the nature of the Casimir force with respect to the periodic ones. Considering the weak coupling scenario, we show that the introduction of a third polarization state in the perturbations makes manifest the effects on the Casimir energy due to the coupling with the chromomagnetic-like background field, for both the boundary conditions. Finally, in the strong coupling regime, in which the quantum vacuum is not stable due to the Nielsen-Olesen instabilities, we evaluate the effects of a compact extra dimension on its stabilization.

show abstract

Magnetic field corrections to the repulsive Casimir effect at finite temperature

Cited by 2 publications

References 23 publications

The Casimir energy for scalar field with mixed boundary condition

The Casimir energy for scalar field with mixed boundary condition

Quantum Vacuum Fluctuations in a Chromomagnetic-Like Background

Contact Info

Product

Resources

About