Abstract
The linear σ-model with a chemical potential for hypercharge is a toy model for the description of the dynamics of the kaon condensate in high density QCD. We analyze the dynamics of the gauged version of this model. It is shown that spontaneous breakdown of SU(2) × U(1)Y symmetry, caused by the chemical potential, is always accompanied by spontaneous breakdown of both rotational symmetry and electromagnetic U(1)em. The spectrum of excitations in this model is rich and, because of rotational symmetry breakdown, anisotropic. It is shown that there exist excitation branches that behave as phonon like quasiparticles for small momenta and as roton like ones for large momenta. This suggests that this model can be relevant for anisotropic superfluid systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 82-92 |
| Number of pages | 11 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 581 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Feb 12 2004 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Spontaneous rotational symmetry breaking and roton like excitations in gauged σ-model at finite density. / Gusynin, V. P.; Miransky, V. A.; Shovkovy, Igor.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 581, No. 1-2, 12.02.2004, p. 82-92.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Spontaneous rotational symmetry breaking and roton like excitations in gauged σ-model at finite density
AU - Gusynin, V. P.
AU - Miransky, V. A.
AU - Shovkovy, Igor
PY - 2004/2/12
Y1 - 2004/2/12
N2 - The linear σ-model with a chemical potential for hypercharge is a toy model for the description of the dynamics of the kaon condensate in high density QCD. We analyze the dynamics of the gauged version of this model. It is shown that spontaneous breakdown of SU(2) × U(1)Y symmetry, caused by the chemical potential, is always accompanied by spontaneous breakdown of both rotational symmetry and electromagnetic U(1)em. The spectrum of excitations in this model is rich and, because of rotational symmetry breakdown, anisotropic. It is shown that there exist excitation branches that behave as phonon like quasiparticles for small momenta and as roton like ones for large momenta. This suggests that this model can be relevant for anisotropic superfluid systems.
AB - The linear σ-model with a chemical potential for hypercharge is a toy model for the description of the dynamics of the kaon condensate in high density QCD. We analyze the dynamics of the gauged version of this model. It is shown that spontaneous breakdown of SU(2) × U(1)Y symmetry, caused by the chemical potential, is always accompanied by spontaneous breakdown of both rotational symmetry and electromagnetic U(1)em. The spectrum of excitations in this model is rich and, because of rotational symmetry breakdown, anisotropic. It is shown that there exist excitation branches that behave as phonon like quasiparticles for small momenta and as roton like ones for large momenta. This suggests that this model can be relevant for anisotropic superfluid systems.
UR - http://www.scopus.com/inward/record.url?scp=1642472930&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=1642472930&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2003.11.042
DO - 10.1016/j.physletb.2003.11.042
M3 - Article
AN - SCOPUS:1642472930
VL - 581
SP - 82
EP - 92
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -