Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-24
International Journal of Geometric Methods in Modern Physics 6 (2009) 513-531
Physics
High Energy Physics
High Energy Physics - Theory
17 pages. This article deals with a sort of "curvature-statistics connection". To appear in Int. J. Geom. Meth. Mod. Phys
Scientific paper
10.1142/S0219887809003655
We construct second-quantized (field) theories on coset spaces of pseudo-unitary groups U(p,q)$. The existence of degenerated quantum vacua (coherent states of zero modes) leads to a breakdown of the original pseudo-unitary symmetry. The action of some spontaneously broken symmetry transformations destabilize the vacuum and make it to radiate. We study the structure of this thermal radiation for curved phase spaces of constant curvature: complex projective spaces CP^{N-1}=SU(N)/U(N-1) and open complex balls CD^{N-1}=SU(1,N-1)/U(N-1). Positive curvature is related to generalized Fermi-Dirac (FD) statistics, whereas negative curvature is connected with generalized Bose-Einstein (BE) statistics, the standard cases being recovered for N=2. We also make some comments on the contribution of the vacuum (dark) energy to the cosmological constant and the phenomenon of inflation.
Aldaya Victor
Calixto Manuel
No associations
LandOfFree
Thermal Vacuum Radiation in Spontaneously Broken Second-Quantized Theories on Curved Phase Spaces of Constant Curvature 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 Thermal Vacuum Radiation in Spontaneously Broken Second-Quantized Theories on Curved Phase Spaces of Constant Curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermal Vacuum Radiation in Spontaneously Broken Second-Quantized Theories on Curved Phase Spaces of Constant Curvature will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-609363