Renormalization group approach to the spin-1 Bose gas

Abstract

A field theoretical renormalization group approach at two loop level is applied to the homogeneous spin-1 Bose gas in order to investigate the order of the phase transition. The beta function of the system with $d=4-\epsilon$ dimensions is determined up to the third power of the coupling constants and the system's free energy on the border of the classical stability is given in next to leading order. It is found that the phase transition of the interacting spin-1 Bose gases with weak spin-dependent coupling constant values is of first order.

7 pages, 5 figures included in text, final version, journal reference added

References in corpus (4)

• Theory of the Weakly Interacting Bose Gas
• Ferromagnetic phase transition and Bose-Einstein condensation in spinor Bose gases
• Static properties and spin dynamics of the ferromagnetic spin-1 Bose gas in magnetic field
• Energies and damping rates of elementary excitations in spin-1 Bose-Einstein condensed gases

Cited by in corpus (3)

• Spinor Bose-Einstein condensates
• Three fluid hydrodynamics of spin-1 Bose-Einstein condensates
• First-order phase transitions in spinor Bose gases and frustrated magnets