Bose-Einstein condensation in a constant magnetic field

Rojas, Hugo Perez; Villegas-Lelovski, L.

doi:10.1590/s0103-97332000000200024

Cited by 10 publications

(12 citation statements)

References 13 publications

(18 reference statements)

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“…The two models were considered: with and without the contribution of the ring diagrams. The latter model was investigated in many papers [1,11,13,14,[16][17][18][19][20][21][22], and our conclusions are mainly agree with those given in [13]. In addition, we established that the system suffers the usual first-order phase transition from the normal to the superconducting state and found the equilibrium curve of these two phases in the magnetic field.…”

Section: Resultssupporting

confidence: 82%

“…The last condition is satisfied under rather general assumptions about the form of the background fields both for bosons and fermions (see [39], Sects. 17,19).…”

Section: General Formulas For the High-temperature Expansionmentioning

confidence: 99%

“…Notice that the ferromagnetism of the gas of vector bosons at low temperatures was predicted in[14,17,34,35].…”

mentioning

confidence: 98%

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One-loop thermodynamic potential of charged massive particles in a constant homogeneous magnetic field at high temperatures

Kalinichenko¹,

Kazinski²

2016

Phys. Rev. D

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The explicit expressions for the high-temperature expansions of the one-loop corrections to the omegapotential coming from charged scalar and Dirac particles and, separately, from antiparticles in a constant homogeneous magnetic field are derived. The explicit expressions for the non-perturbative corrections to the effective action at finite temperature and density are obtained. Thermodynamic properties of a gas of charged scalars in a constant homogeneous magnetic field are analyzed in the one-loop approximation. It turns out that, in this approximation, the system suffers a first-order phase transition from the diamagnetic to the superconducting state at sufficiently high densities. The improvement of the one-loop result by summing the ring diagrams is investigated. This improvement leads to a drastic change in thermodynamic properties of the system. The gas of charged scalars passes to the ferromagnetic state in place of the superconducting one at high densities and sufficiently low temperatures, in the high temperature regime. * Recall that the Lagrangian of the effective action L(1) ef f = −Ω (1) . In particular, it follows from (7), (8) that, in the high-temperature expansion of the total one-loop omega-potential, the vacuum contribution is canceled out by the analogous term in the omega-potential coming from real particles (for fermions in QED see [38] and for the general case see [27,28,32]).The following stability conditions are assumed in formulas (1), (7) and (8):

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Section: Resultssupporting

confidence: 82%

“…The last condition is satisfied under rather general assumptions about the form of the background fields both for bosons and fermions (see [39], Sects. 17,19).…”

Section: General Formulas For the High-temperature Expansionmentioning

confidence: 99%

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One-loop thermodynamic potential of charged massive particles in a constant homogeneous magnetic field at high temperatures

Kalinichenko¹,

Kazinski²

2016

Phys. Rev. D

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“…At this point, it is worthwhile to comment on the reasons for the difference in the nature of the BEC showed by the charged and the neutral vector boson gas in a constant magnetic field. As it was already known, the BEC in the charged gas is diffuse [7,8], while we just found it is usual for the neutral gas. The difference arises from the reduction in the dimension suffered by the charged gas for lows temepratures or strong fields.…”

Section: A Particle Density and Bose Einstein Condensationmentioning

confidence: 52%

“…The study of BEC and magnetization for a charged scalar or vector boson gas in presence of a constant magnetic field was tackled in [7][8][9][10][11][12]. For low temperatures, the charged vector boson gas is paramagnetic, can be self magnetized and undergoes a phase transition to a diffuse BEC [7,8].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of a neutral vector boson gas in a constant magnetic field

2017

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The thermodynamical properties of a neutral vector boson gas in a constant magnetic field are studied starting from the spectrum given by Proca formalism. Bose Einstein Condensation (BEC) and magnetization are obtained, for the three and one dimensional cases, in the limit of low temperatures. In three dimensions the gas undergoes a phase transition to an usual BEC in which the critical temperature depends on the magnetic field. In one dimension a diffuse condensate appears as for the charged vector boson gas. In both cases, the condensation is reached not only by decreasing the temperature but also by increasing the magnetic field. In three and one dimensions self-magnetization is possible. The anisotropy in the pressures due to axial symmetry imposed to the system by the magnetic field is also discussed. The astrophysical implications are commented.

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Bose‐Einstein condensation and antiparticles in a magnetized neutral vector boson gas at any temperature

et al. 2019

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Bose-Einstein condensation in a constant magnetic field

Cited by 10 publications

References 13 publications

One-loop thermodynamic potential of charged massive particles in a constant homogeneous magnetic field at high temperatures

One-loop thermodynamic potential of charged massive particles in a constant homogeneous magnetic field at high temperatures

Thermodynamic properties of a neutral vector boson gas in a constant magnetic field

Bose‐Einstein condensation and antiparticles in a magnetized neutral vector boson gas at any temperature

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