Bose-Einstein Condensation and Free DKP field
R. Casana, V. Ya. Fainberg, B.M. Pimentel, J. S. Valverde
TL;DR
This paper evaluates the thermodynamical partition function of the DKP theory at finite temperature, demonstrating its equivalence with scalar and vector particles and analyzing the role of zero modes in Bose-Einstein condensation.
Contribution
It provides a detailed calculation of the DKP partition function using path integral methods and highlights the importance of zero modes in relativistic Bose-Einstein condensation.
Findings
DKP partition function is equivalent to that of charged scalar and vector particles.
Zero mode sector is crucial for reproducing Bose-Einstein condensation.
The formalism confirms the role of zero modes in relativistic quantum gases.
Abstract
The thermodynamical partition function of the Duffin-Kemmer-Petiau theory is evaluated using the imaginary-time formalism of quantum field theory at finite temperature and path integral methods. The DKP partition function displays two features: (i) full equivalence with the partition function for charged scalar particles and charged massive spin 1 particles; and (ii) the zero mode sector which is essential to reproduce the well-known relativistic Bose-Einstein condensation for both theories.
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