The O(2) model in polar coordinates at nonzero temperature

Details The O(2) model in polar coordinates at nonzero temperature The O(2) model in polar coordinates at nonzero temperature

2011-10-12

arxiv.org/abs/1110.2698v1

Physics

Nuclear Physics

Nuclear Theory

16 pages, 7 figures

Scientific paper

We study restoration of spontaneously broken symmetry at nonzero temperature in the framework of the O(2) model by using polar coordinates. We apply the CJT formalism to calculate the masses and the condensate in the double-bubble approximation, both with and without a term that explicitly breaks the O(2) symmetry. We find that, in the case with explicitly broken symmetry, the mass of the angular degree of freedom becomes tachyonic above a temperature of about 300 MeV. Taking the term that explicitly breaks the symmetry to be infinitesimally small, we find that the Goldstone theorem is respected below the critical temperature. However, this limit cannot be performed for temperatures above the phase transition. We find that, no matter whether we break the symmetry explicitly or not, there is no region of temperature in which the radial and the angular degree of freedom become degenerate in mass. These results hold also when the mass of the radial mode is sent to infinity.

Affiliated with

Also associated with

No associations

Rating

The O(2) model in polar coordinates at nonzero temperature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The O(2) model in polar coordinates at nonzero temperature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The O(2) model in polar coordinates at nonzero temperature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634203