Oscillating propagators in heavy-dense QCD

Akerlund, Oscar; Forcrand, Philippe de; Rindlisbacher, Tobias

doi:10.1007/jhep10(2016)055

Cited by 14 publications

(14 citation statements)

References 22 publications

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“…In other words, the mass spectrum of the theory becomes complex. The transfer matrix approach reveals the similar behavior in onedimensional ZðNÞ spin model in the external complex field [36,37]. Monte-Carlo simulations of the same three-dimensional model also show the presence of such phase [37].…”

Section: Discussionmentioning

confidence: 62%

“…The transfer matrix approach reveals the similar behavior in onedimensional ZðNÞ spin model in the external complex field [36,37]. Monte-Carlo simulations of the same three-dimensional model also show the presence of such phase [37]. Detecting the liquid phase with the existing simulation methods at nonzero baryon chemical potential seems an extremely difficult problem.…”

Section: Discussionmentioning

confidence: 86%

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Dual formulations of Polyakov loop lattice models

2020

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Dual representations are constructed for non-Abelian lattice spin models with UðNÞ and SUðNÞ symmetry groups, for all N and in any dimension. These models are usually related to the effective models describing the interaction between Polyakov loops in the strong coupled QCD. The original spin degrees of freedom are explicitly integrated out and a dual theory appears to be a local theory for the dual integervalued variables. The construction is performed for the partition function and for the most general correlation function. The latter include the two-point function corresponding to quark-anti-quark free energy and the N-point function related to the free energy of a baryon. We consider both pure gauge models and models with static fermion determinant for both the staggered and Wilson fermions with an arbitrary number of flavours. While the Boltzmann weights of such models are complex in the presence of nonzero chemical potential the dual Boltzmann weights appear to be strictly positive on admissible configurations. An essential part of this work with respect to previous studies is an extension of the dual representation to the case of (1) an arbitrary value of the temporal coupling constant in the Wilson action and (2) an arbitrary number of flavors of static quark determinants. The applications and extensions of the results are discussed in detail. In particular, we outline a possible approach to Monte-Carlo simulations of the dual theory, to the large N expansion and to the development of a tensor renormalization group.

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Section: Discussionmentioning

confidence: 62%

Section: Discussionmentioning

confidence: 86%

Dual formulations of Polyakov loop lattice models

2020

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“…In Polyakov-Nambu-Jona Lasinio models, such modulation is known to occur near the critical endpoint in the 𝜇 − 𝑇 plane [18]. Strong-coupling lattice expansions of Polyakov loop correlators in the presence of static quarks at finite density display sinusoidal modulation [19], and there is strong evidence for this behavior in a 𝑍 (3) model through simulation and mean field theory [20].…”

Section: Motivationmentioning

confidence: 97%

Finite-density QCD, $\mathcal{PT}$ symmetry, and exotic phases

Schindler¹,

Schindler²,

Ogilvie³

2021

Preprint

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We study the phase structure of effective models of finite-density QCD using analytic and lattice simulation techniques developed for the study of non-Hermitian and PT -symmetric QFTs. Finitedensity QCD is symmetric under the combined operation of the charge and complex conjugation operators CK, which falls into the class of so-called generalized PT symmetries. We show that PT -symmetric quantum field theories can support patterned ground-state field configurations in the vicinity of a critical endpoint. We apply our methods to a lattice heavy quark model at nonzero chemical potential that displays patterning behavior for a range of parameters. We derive a simple approximate criterion for the formation of these patterns, which can be used with lattice results.

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“…during the worm [15]. In [16] we used this method to verify the existence of oscillatory two-point functions in the three-state Potts model if the real and imaginary parts of the field are coupled to different external fields.…”

Section: General Correlator In Terms Of External Sources: New Worm Movesmentioning

confidence: 99%

Sampling of general correlators in worm-algorithm based simulations

2016

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Using the complex φ 4 -model as a prototype for a system which is simulated by a worm algorithm, we show that not only the charged correlator φ * ( x )φ( y ) , but also more general correlators such as |φ( x )||φ( y )| or arg( φ( x ) ) arg( φ( y ) ) , as well as condensates like |φ| , can be measured at every step of the Monte Carlo evolution of the worm instead of on closed-worm configurations only. The method generalizes straightforwardly to other systems simulated by worms, such as spin or sigma models.

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Oscillating propagators in heavy-dense QCD

Cited by 14 publications

References 22 publications

Dual formulations of Polyakov loop lattice models

Dual formulations of Polyakov loop lattice models

Finite-density QCD, $\mathcal{PT}$ symmetry, and exotic phases

Sampling of general correlators in worm-algorithm based simulations

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