Strong coupling QCD at finite baryon-number density

Karsch, Frithjof; Mütter, K.-H.

doi:10.1016/0550-3213(89)90396-9

Cited by 154 publications

(238 citation statements)

References 13 publications

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“…The implementation of the algorithm for the SU(3) gauge group has been described in detail in ref. [14]. The only modification necessary for our simulations on anisotropic lattices is the proper mapping of baryonic loops onto monomer-dimer loops [14].…”

Section: Strong Coupling Qcd At Finite Temperaturementioning

confidence: 99%

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Critical exponents of the chiral transition in strong coupling QCD

Boyd¹,

Fingberg²,

Karsch³

et al. 1992

Nuclear Physics B

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We study the critical behaviour of the chira! phase transition of SU(3) lattice QCD with one species of staggered fermions in the strong coupling limit. We find a second-order phase transition which seems to be controlled by an effective action which is in the same universality class as three-dimensional 0(2) spin models. In particular, we find for the exponent b, 0.18 < 1/~<0.25, in good agreement with the three-dimensional 0(2) value, 1/b 0.21.

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Section: Strong Coupling Qcd At Finite Temperaturementioning

confidence: 99%

“…In sect. 2 we outline the formulation of finite-temperature QCD in the strong coupling limit and discuss some new features of the monomer-dimer-polymer (MDP) algorithm used in our simulations [13,14]. In sect.…”

Section: Introductionmentioning

confidence: 99%

Critical exponents of the chiral transition in strong coupling QCD

Boyd¹,

Fingberg²,

Karsch³

et al. 1992

Nuclear Physics B

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“…The first is based on a representation of the partition function as * Talk presented by A. Galante a system of monomers, dimers and baryonic loops (MDP) [3]. The results show a clear first order signal at a critical chemical potential µ c only slightly larger then the mean field prediction.…”

Section: Introductionmentioning

confidence: 95%

Phase transition(s) in finite density QCD

Aloisio¹,

Azcoiti²,

Carlo³

et al. 1998

Nuclear Physics A

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The Grand Canonical formalism is generally used in numerical simulations of finite density QCD since it allows free mobility in the chemical potential µ. We show that special care has to be used in extracting numerical results to avoid dramatic rounding effects and spurious transition signals. If we analyze data correctly, with reasonable statistics, no signal of first order phase transition is present and results using the Glasgow prescription are practically coincident with the ones obtained using the modulus of the fermionic determinant.

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“…Strong-coupling approaches to lattice gauge theories, in particular to lattice QCD, have a long history since they allow both for analytical investigations and for the construction of new simulation algorithms, see, e.g., [1][2][3][4][5]. Typically, these approaches work only if the selfinteraction of the gauge fields is neglected, giving rise to an uncontrolled systematic error of the results.…”

Section: Jhep11(2016)087mentioning

confidence: 99%

“…since the induced action in terms of this couplingg I and the fixed parameter γ ≥ 4 reads 5) where the first term is identical to the Wilson gauge action…”

Section: General Strategymentioning

confidence: 99%

Induced QCD I: theory

Brandt

Lohmayer

Wettig

2016

J. High Energ. Phys.

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Abstract:We explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer. In this discretization the self-interactions of the gauge field are induced by a path integral over N b auxiliary boson fields, which are coupled linearly to the gauge field. The main progress compared to earlier approaches is that N b can be as small as N c . In the present paper we (i) extend the proof that the continuum limit of the new discretization reproduces Yang-Mills theory in two dimensions from gauge group U(N c ) to SU(N c ), (ii) derive refined bounds on N b for non-integer values, and (iii) perform a perturbative calculation to match the bare parameter of the induced gauge theory to the standard lattice coupling. In follow-up papers we will present numerical evidence in support of the conjecture that the induced gauge theory reproduces Yang-Mills theory also in three and four dimensions, and explore the possibility to integrate out the gauge fields to arrive at a dual formulation of lattice QCD.

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Strong coupling QCD at finite baryon-number density

Cited by 154 publications

References 13 publications

Critical exponents of the chiral transition in strong coupling QCD

Critical exponents of the chiral transition in strong coupling QCD

Phase transition(s) in finite density QCD

Induced QCD I: theory

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