Gauge theories with imaginary chemical potential and the phases of QCD

Roberge, André; Weiss, Nathan

doi:10.1016/0550-3213(86)90582-1

Cited by 506 publications

(727 citation statements)

References 4 publications

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“…These chemical potentials are imaginary. In the Euclidean context, they arise in the presence of background, classical electrostatic potentials for the U(1) graviphoton and axial vector fields, or when we insert Wilson lines across the x 0 cycle for the time-like components of these fields [16,17]. The Wilson lines are actually analogous to the Polyakov loops of finite-temperature gauge theories.…”

Section: Thermal Interpretationmentioning

confidence: 99%

“…Thermal partition functions with imaginary chemical potentials have been considered in the literature before, in the context of non-Abelian gauge theories, and the phase structure has been related to the confining properties of these theories [16]. It is thus interesting to consider such partition functions in the string theoretic context as well, even though their applicability for cosmology may turn out to be a subtle issue.…”

Section: Thermal Interpretationmentioning

confidence: 99%

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Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes

Angelantonj

Kounnas²,

Partouche³

et al. 2009

Nuclear Physics B

124

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We consider closed type II and orientifold backgrounds where supersymmetry is spontaneously broken by asymmetric geometrical fluxes. We show that these can be used to describe thermal ensembles with chemical potentials associated to "gravito-magnetic" fluxes. The thermal free energy is computed at the one-loop string level, and it is shown to be free of the usual Hagedorn-like instabilities for a certain choice of the chemical potentials. In the closed string gravitational sector, as well as in the open string matter sector of the proposed orientifold construction, the free energy turns out to have "Temperature duality" symmetry, F (T /T H ) = F (T H /T ), which requires interchanging the space-time spinor representations S ↔ C. For small temperatures, T → 0, the anti-spinor C decouples from the spectrum while for large temperatures, T → ∞, the spinor S decouples. In both limits the free energy vanishes, as we recover a conventional type II superstring theory. At the self dual point T = T H , the thermal spectra of S and C are identical. At this point there are extra massless scalars in the adjoint representation of an SO(4) non-Abelian gauge symmetry group arising from the closed-string sector.

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Section: Thermal Interpretationmentioning

confidence: 99%

Section: Thermal Interpretationmentioning

confidence: 99%

Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes

Angelantonj

Kounnas²,

Partouche³

et al. 2009

Nuclear Physics B

124

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“…It is well known that the QCD partition function (Z QCD ) has the RW periodicity along θ-direction [4];…”

Section: Qcd Periodicities and Transitions At Finite µ Imentioning

confidence: 99%

“…The imaginary chemical potential (µ I ) is an external parameter related with the imaginary quark number density and shows the special periodicity which is so called the Roberge-Weiss (RW) periodicity [4] and its period is 2πT/N c . The RW periodicity leads to the free-energy degeneracy.…”

Section: Introductionmentioning

confidence: 99%

Topological Nature of Deconfinement Transition in QCD

Kashiwa

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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We propose a new conjecture to determine the confinement-deconfinement transition by using the imaginary chemical potential. The imaginary chemical potential can be treated as the AharonovBohm phase and then an analogy of the topological order suggests that the Roberge-Weiss endpoint would define the temperature of the confinement-deconfinement transition. Based on the topological nature, we can construct a new quantum order-parameter which describes the confinementdeconfinement transition. This quantity is defined as the integral of the quark number susceptibility along the closed loop of θ = 0 ∼ 2π where θ is the dimensionless imaginary chemical potential. Expected behavior of the quantity at finite temperature is discussed and its asymptotic behaviors are drawn.

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“…The authors of [2,3,4,5,6,7,8,9] have considered a generalized set of boundary conditions, that here we call θ-boundary conditions (θ-BC), depending upon the choice of a topological 3-vector θ…”

Section: The Way Outmentioning

confidence: 99%

Remarks on the discretization of physical momenta in lattice QCD

Tantalo

2005

Nuclear Physics B - Proceedings Supplements

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The calculation on the lattice of cross-sections, form-factors and decay rates associated to phenomenologically relevant physical processes is complicated by the spatial momenta quantization rule arising from the introduction of limited box sizes in numerical simulations. A method to overcome this problem, based on the adoption of two distinct boundary conditions for two fermions species on a finite lattice, is here discussed and numerical results supporting the physical significance of this procedure are shown.

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Gauge theories with imaginary chemical potential and the phases of QCD

Cited by 506 publications

References 4 publications

Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes

Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes

Topological Nature of Deconfinement Transition in QCD

Remarks on the discretization of physical momenta in lattice QCD

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