The Partition Function and Level Density for Yang-Mills-Higgs Quantum Mechanics

Details The Partition Function and Level Density for Yang-Mills-Higgs Quantum Mechanics The Partition Function and Level Density for Yang-Mills-Higgs Quantum Mechanics

2002-12-25

arxiv.org/abs/hep-th/0212304v3

J.Phys. A36 (2003) L417

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX; minor changes; version accepted for publication as a Letter in J. Phys. A

Scientific paper

10.1088/0305-4470/36/25/102

We calculate the partition function $Z(t)$ and the asymptotic integrated level density $N(E)$ for Yang-Mills-Higgs Quantum Mechanics for two and three dimensions ($n = 2, 3$). Due to the infinite volume of the phase space $\Gamma$ on energy shell for $n= 2$, it is not possible to disentangle completely the coupled oscillators ($x^2 y^2$-model) from the Higgs sector. The situation is different for $n = 3$ for which $\Gamma$ is finite. The transition from order to chaos in these systems is expressed by the corresponding transitions in $Z(t)$ and $N(E)$, analogous to the transitions in adjacent level spacing distribution from Poisson distribution to Wigner-Dyson distribution. We also discuss a related system with quartic coupled oscillators and two dimensional quartic free oscillators for which, contrary to YMHQM, both coupling constants are dimensionless.

Affiliated with

Also associated with

No associations

Rating

The Partition Function and Level Density for Yang-Mills-Higgs Quantum Mechanics 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 Partition Function and Level Density for Yang-Mills-Higgs Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Partition Function and Level Density for Yang-Mills-Higgs Quantum Mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-605227