Inverse Monte-Carlo and Demon Methods for Effective Polyakov Loop Models of SU(N)-YM

Wozar, Christian; Kaestner, Tobias; Wellegehausen, Bjoern H.; Wipf, Andreas; Heinzl, T.

doi:10.48550/arxiv.0808.4046

Cited by 6 publications

(14 citation statements)

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“…The double trace term, which is approximately the contribution of static massive adjoint fermions, is given by hTr adj P for N = 3, where larger magnitudes of h correspond to smaller fermion mass. 7 Another remarkable similarity between the S 3 × S 1 result and the lattice results [10] of Cossu and D'Elia is that there is good qualitative agreement for TrP as a function of L for a fixed value of the fermion mass. In Figure 11 we show TrP as a function of the length of the temporal direction.…”

Section: Comparison With Lattice Results Of Cossu and D'eliamentioning

confidence: 57%

“…It is interesting to compare as well with the lattice phase diagram which results from adding a single double trace term to the pure gauge theory action [6,7]. The phase diagrams for these theories seem to suggest that the confined phase passes through (i.e., the strong and weak-coupling confined phases are connected) when the double trace term is strong enough.…”

Section: Comparison With Lattice Results Of Cossu and D'eliamentioning

confidence: 99%

“…In this paper we explore this possibility in adjoint QCD, that is, SU(N) gauge theory with fermions in the adjoint representation. The phase diagram of this theory is quite rich when considering N f > 1 Majorana flavours with fermions of finite mass to which periodic boundary conditions have been applied in the temporal direction [6][7][8][9][10][11][12]. The intuition behind this is that the gauge field and fermion terms in the effective potential have opposite signs and compete to dominate the Polykov loop, with the fermions having a disordering effect.…”

Section: Introductionmentioning

confidence: 99%

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Finite volume phases of large-Ngauge theories with massive adjoint fermions

Hollowood

Myers

2009

J. High Energy Phys.

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Abstract:The phase structure of QCD-like gauge theories with fermions in various representations is an interesting but generally analytically intractable problem. One way to ensure weak coupling is to define the theory in a small finite volume, in this case S 3 × S 1 . Genuine phase transitions can then occur in the large N theory. Here, we use this technique to investigate SU(N ) gauge theory with a number N f of massive adjoint-valued Majorana fermions having non-thermal boundary conditions around S 1 . For N f = 1 we find a line of transitions that separate the weak-coupling analogues of the confined and de-confined phases for which the density of eigenvalues of the Wilson line transform from the uniform distribution to a gapped distribution. However, the situation for N f > 1 is much richer and a series of weak-coupling analogues of partially-confined phases appear which leave unbroken a Z p subgroup of the centre symmetry. In these Z p phases the eigenvalue density has p gaps and they are separated from the confining phase and from one-another by first order phase transitions. We show that for small enough mR (the mass of the fermions times the radius of the S 3 ) only the confined phase exists. The large N phase diagram is consistent with the finite N result and with other approaches based on R 3 × S 1 calculations and lattice simulations.

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Section: Comparison With Lattice Results Of Cossu and D'eliamentioning

confidence: 57%

Section: Comparison With Lattice Results Of Cossu and D'eliamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite volume phases of large-Ngauge theories with massive adjoint fermions

Hollowood

Myers

2009

J. High Energy Phys.

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“…According to the conjecture by Svetitsky and Yaffe [6,7] the dynamics at the finite temperature confinement-deconfinement transition of a d+ 1-dimensional pure gauge theory can be described by an effective spin model in d dimensions. Based on our earlier results on finite-temperature SU (2) and SU (3) gluodynamics [8][9][10][11][12] there are strong indications that the effective models derived and analysed in the present work are sufficient to accurately describe the dynamics of Polyakov loops. The direct connection between the effective spin models and G 2 gluodynamics is postponed to a forthcoming publication.…”

Section: Introductionmentioning

confidence: 54%

Effective Polyakov loop dynamics for finite temperatureG2gluodynamics

2009

Self Cite

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Based on the strong coupling expansion we obtain effective 3-dimensional models for the Polyakov loop in finite-temperature G2 gluodynamics. The Svetitsky-Jaffe conjecture relates the resulting continuous spin models with G2 gluodynamics near phase transition points. In the present work we analyse the effective theory in leading order with the help of a generalised mean field approximation and with detailed Monte-Carlo simulations. In addition we derive a Potts-type discrete spin model by restricting the characters of the Polyakov loops to the three extremal points of the fundamental domain of G2. Both the continuous and discrete effective models show a rich phase structure with a ferromagnetic, symmetric and several anti-ferromagnetic phases. The phase diagram contains first and second order transition lines and tricritical points. The modified mean field predictions compare very well with the results of our simulations.

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“…Two important features of this phase diagram are that the confined phase is accessible in a region of weak coupling, and that there is a region of the parameter space in which a new, "skewed" phase is favoured over both the confined and deconfined phases. Both of these features were recently confirmed in [2] in simulations using a demon algorithm. Simulations of a similar theory in [3] also confirm that the confined phase becomes accessible beyond the deconfinement temperature of the pure gauge theory.…”

Section: Introductionmentioning

confidence: 58%

Exotic phases of finite temperature gauge theories

Myers¹,

Ogilvie²

2009

Nuclear Physics A

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We calculate the phase diagrams at high temperature of SU(N) gauge theories with massive fermions by minimizing the one-loop effective potential. Considering fermions in the adjoint (Adj) representation at various N we observe a variety of phases when N f ≥ 2 Majorana flavours and periodic boundary conditions are applied to fermions. Also the confined phase is perturbatively accessible. For N = 3, we add Fundamental (F) representation fermions with antiperiodic boundary conditions to adjoint QCD to show how the Z(3)-symmetry breaks in the confined phase.

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Inverse Monte-Carlo and Demon Methods for Effective Polyakov Loop Models of SU(N)-YM

Cited by 6 publications

References 0 publications

Finite volume phases of large-Ngauge theories with massive adjoint fermions

Finite volume phases of large-Ngauge theories with massive adjoint fermions

Effective Polyakov loop dynamics for finite temperatureG2gluodynamics

Exotic phases of finite temperature gauge theories

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