Bose-Einstein condensation of a charged relativistic ideal gas in a general homogeneous magnetic field

Journal Article · Tue Nov 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6457· OSTI ID:6837801

Toms, D J ^[1]

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1. Physics Department, University of Newcastle upon Tyne, Newcastle upon Tyne NE1 7RU (United Kingdom)

It is shown how the effective action formalism and [zeta]-function regularization can be used to study Bose-Einstein condensation for a relativistic charged scalar field in a general homogeneous magnetic field in a spacetime of arbitrary dimension. In the special case where the magnetic field has only one component, Bose-Einstein condensation occurs at high temperature only for [ital D][ge]5 where [ital D] is the spatial dimension. When Bose-Einstein condensation does occur the ground-state expectation value of the scalar field is not constant and we determine its value. If the magnetic field has [ital p] independent nonzero components we show that the condition for Bose-Einstein condensation is [ital D][ge]3+2[ital p]. In particular, Bose-Einstein condensation can never occur if the magnetic field has all of its independent components nonzero. The problem of Bose-Einstein condensation in a cylindrical box in [ital D] spatial dimensions with a uniform magnetic field directed along the axis of the cylinder is also discussed.

• OSTI ID: 6837801
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSE-EINSTEIN CONDENSATION
MAGNETIC FIELDS
SCALAR FIELDS
CHARGED PARTICLES
EXPECTATION VALUE
GROUND STATES
RELATIVISTIC RANGE
SPACE-TIME
ENERGY LEVELS
ENERGY RANGE
661300* - Other Aspects of Physical Science- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)