Bosonic partition functions at nonzero (imaginary) chemical potential

Kellerstein, M.; Verbaarschot, J. J. M.

doi:10.1007/jhep07(2017)144

Cited by 1 publication

(2 citation statements)

References 49 publications

(107 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For small nonzero m it is given by Σ(u) ∼ mu/ √ u 2 − 1. The bosonic partition function can be reduced to a one dimensional integral [18] …”

Section: Chiral Random Matrix Theory At Imaginary Chemical Potentialmentioning

confidence: 99%

“…3 we show that in this case the chiral condensate remains finite for parameter values for which the chiral condensate of the fermionic partition function vanishes in the thermodynamic limit. Whether the analytical continuation in u is valid for the bosonic partition function as well remains to be determined [18].…”

Section: Chiral Random Matrix Theory At Imaginary Chemical Potentialmentioning

confidence: 99%

See 1 more Smart Citation

Chiral Symmetry Breaking for Bosonic Partition Functions.

Verbaarschot¹,

Kellerstien²,

Splittorff³

2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

View full text Add to dashboard Cite

The behavior of quenched Dirac spectra of two-dimensional lattice QCD is consistent with spontaneous chiral symmetry breaking which is forbidden according to the Coleman-Mermin-Wagner theorem. One possible resolution of this paradox is that, because of the bosonic determinant in the partially quenched partition function, the conditions of this theorem are violated allowing for spontaneous symmetry breaking in two dimensions or less. This goes back to work by Niedermaier and Seiler on nonamenable symmetries of the hyperbolic spin chain and earlier work by two of the auhtors on bosonic partition functions at nonzero chemical potential. In this talk we discuss chiral symmetry breaking for the bosonic partition function of QCD at nonzero isospin chemical potential and a bosonic random matrix theory at imaginary chemical potential and compare the results with the fermionic counterpart. In both cases the chiral symmetry group of the bosonic partition function is noncompact.

show abstract

“…For small nonzero m it is given by Σ(u) ∼ mu/ √ u 2 − 1. The bosonic partition function can be reduced to a one dimensional integral [18] …”

Section: Chiral Random Matrix Theory At Imaginary Chemical Potentialmentioning

confidence: 99%

Section: Chiral Random Matrix Theory At Imaginary Chemical Potentialmentioning

confidence: 99%