Bose-Einstein condensates and thermal field theory

2007 ◽  
Vol 85 (6) ◽  
pp. 647-652
Author(s):  
E Kovalchuk ◽  
R Kobes
Keyword(s):  
Field Theory ◽  
Critical Temperature ◽  
Specific Heat ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Nonzero Temperature ◽  
Bose Einstein ◽  
11.10 Wx

We consider a homogeneous nonideal Bose gas in equilibrium at nonzero temperature below the critical temperature Tc in the framework of thermal field theory. Quantum corrections up to second order are calculated, which are shown to be crucial in obtaining the correct behavior in thermodynamic quantities such as the specific heat. PACS Nos.: 67.40.–w, 11.10.Wx

scholarly journals Quantitative Test of Thermal Field Theory for Bose-Einstein Condensates

2003 ◽  
Vol 91 (25) ◽  
Author(s):  
S. A. Morgan ◽  
M. Rusch ◽  
D. A. W. Hutchinson ◽  
K. Burnett
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Quantitative Test ◽  
Bose Einstein

BOSE–EINSTEIN STATISTICS IN A DISCRETE SPECTRUM TRAP

2004 ◽  
Vol 18 (04n05) ◽  
pp. 555-563 ◽  
Author(s):  
ENRICO CELEGHINI ◽  
MARIO RASETTI
Keyword(s):  
Critical Temperature ◽  
Low Temperature ◽  
Specific Heat ◽  
Discrete Spectrum ◽  
Harmonic Trap ◽  
Statistical Properties ◽  
Bose Einstein ◽  
The Continuum

A detailed description of the statistical properties of a system of bosons in a harmonic trap at low temperature, which is expected to bear on the process of BE condensation, is given resorting only to the basic postulates of Gibbs and Bose, without assuming equipartition nor continuum statistics. Below Tc such discrete spectrum theory predicts for the thermo-dynamical variables a behavior different from the continuum case. In particular a new critical temperature Td emerges where the specific heat exhibits a λ-like spike.

scholarly journals THERMAL FIELD THEORY IN A WIRE: APPLICATIONS OF THERMAL FIELD THEORY METHODS TO THE PROPAGATION OF PHOTONS IN A ONE-DIMENSIONAL PLASMA

2011 ◽  
Vol 26 (32) ◽  
pp. 5387-5402 ◽  
Author(s):  
JOSÉ F. NIEVES
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Free Field ◽  
Dynamical Variable ◽  
Effective Field ◽  
Dispersion Relations ◽  
One Dimensional ◽  
Self Energy ◽  
The One

The Thermal Field Theory methods are applied to calculate the dispersion relation of the photon propagating modes in a strictly one-dimensional (1D) ideal plasma. The electrons are treated as a gas of particles that are confined to a 1D tube or wire, but are otherwise free to move, without reference to the electronic wave functions in the coordinates that are transverse to the idealized wire, or relying on any features of the electronic structure. The relevant photon dynamical variable is an effective field in which the two space coordinates that are transverse to the wire are collapsed. The appropriate expression for the photon free-field propagator in such a medium is obtained, the one-loop photon self-energy is calculated and the (longitudinal) dispersion relations are determined and studied in some detail. Analytic formulas for the dispersion relations are given for the case of a degenerate electron gas, and the results differ from the long-wavelength formula that is quoted in the literature for the strictly 1D plasma. The dispersion relations obtained resemble the linear form that is expected in realistic quasi-1D plasma systems for the entire range of the momentum, and which have been observed in this kind of system in recent experiments.

scholarly journals On normal ordering and canonical transformations in thermal field theory

1999 ◽  
Vol 32 (7) ◽  
pp. 1185-1195 ◽  
Author(s):  
M Blasone ◽  
T S Evans ◽  
D A Steer ◽  
G Vitiello
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Canonical Transformations ◽  
Normal Ordering

scholarly journals Perturbative nonequilibrium thermal field theory

2013 ◽  
Vol 88 (8) ◽  
Author(s):  
Peter Millington ◽  
Apostolos Pilaftsis
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field
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