Spontaneous symmetry breaking in gauge theories via Bose-Einstein condensation

Abstract

We propose a mechanism naturally leading to the spontaneous symmetry breaking in a gauge theory. The Higgs field is assumed to have global and gauged internal symmetries. We associate a non zero chemical potential to one of the globally conserved charges commuting with all of the gauge transformations. This induces a negative mass squared for the Higgs field triggering the spontaneous symmetry breaking of the global and local symmetries. The mechanism is general and we test the idea for the electroweak theory in which the Higgs sector is extended to possess an extra global Abelian symmetry. To this symmetry we associate a non zero chemical potential. The Bose-Einstein condensation of the Higgs leads, at tree level, to modified dispersion relations for the Higgs field while the dispersion relations of the gauge bosons and fermions remain undisturbed. The latter are modified through higher order corrections. We have computed some corrections to the vacuum polarizations of the gauge bosons and fermions. To quantify the corrections to the gauge boson vacuum polarizations with respect to the Standard Model we considered the effects on the T parameter. We finally derive the one loop modified fermion dispersion relations.

RevTeX 4, 13 pages. Added references and corrected typos

References in corpus (3)

• Dynamical Symmetry Breaking of Extended Gauge Symmetries
• General Structure of Relativistic Vector Condensation
• Electroweak phase diagram at finite lepton number density

Cited by in corpus (12)

• Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
• Neutrino Propagation in a Strongly Magnetized Medium
• Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
• Bose-Einstein Condensation, Dark Matter and Acoustic Peaks
• 3D two-color QCD at finite temperature and baryon density
• The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps
• Review of Vector Condensation at High Chemical Potential
• Weinberg-Salam model at finite temperature and density
• Topological Field Configurations in the Presence of Isospin Chemical Potential
• String order parameters for symmetry fractionalization in an enriched toric code
• Lorentz invariant ensembles of vector backgrounds
• Dark Medium Modified Dispersion Relations