QCD with Bosonic Quarks at Nonzero Chemical Potential

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dc.creatorSplittorff, K.
dc.creatorVerbaarschot, J. J. M.
dc.date2006-05-15
dc.date2006-10-11
dc.date.accessioned2026-07-07T10:42:18Z
dc.date.available2026-07-07T10:42:18Z
dc.descriptionWe formulate the low energy limit of QCD like partition functions with bosonic quarks at nonzero chemical potential. The partition functions are evaluated in the parameter domain that is dominated by the zero momentum modes of the Goldstone fields. We find that partition functions with bosonic quarks differ structurally from partition functions with fermionic quarks. Contrary to the theory with one fermionic flavor, where the partition function in this domain does not depend on the chemical potential, a phase transition takes place in the theory with one bosonic flavor when the chemical potential is equal to $m_π/2$. For a pair of conjugate bosonic flavors the partition function shows no phase transition, whereas the fermionic counterpart has a phase transition at $μ= m_π/2$. The difference between the bosonic theories and the fermionic ones originates from the convergence requirements of bosonic integrals resulting in a noncompact Goldstone manifold and a covariant derivative with the commutator replaced by an anti-commutator.
dc.description16 pages, 3 figures, 1 table. Version to appear in Nucl Phys B
dc.identifierhttps://arxiv.org/abs/hep-th/0605143
dc.identifierhttp://arxiv.org/abs/hep-th/0605143
dc.identifierNucl.Phys.B757:259-279,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.09.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181902
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleQCD with Bosonic Quarks at Nonzero Chemical Potential
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