The SUSY Yang–Mills plasma in a T-matrix approach

Lacroix, Gwendolyn; Semay, Claude; Buisseret, Fabien

doi:10.1142/s0217751x15501456

Cited by 3 publications

(3 citation statements)

References 70 publications

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“…[91,92,94]. Recently, analogous conclusions have also been reached for supersymmetric theories [192,193], using an approach inspired by ref. [194].…”

Section: Discussionsupporting

confidence: 58%

Exceptional thermodynamics: the equation of state of G2 gauge theory

Bruno

Caselle

Panero

et al. 2015

J. High Energ. Phys.

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We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G 2 gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the absence of colored states in the spectrum and dynamical string breaking at large distances. In agreement with previous works, we show that at finite temperature this theory features a first-order deconfining phase transition, whose nature can be studied by a semi-classical computation. We also show that the equilibrium thermodynamic observables in the deconfined phase bear striking quantitative similarities with those found in SU(N ) gauge theories: in particular, these quantities exhibit nearly perfect proportionality to the number of gluon degrees of freedom, and the trace anomaly reveals a characteristic quadratic dependence on the temperature, also observed in SU(N ) Yang-Mills theories (both in four and in three spacetime dimensions). We compare our lattice data with analytical predictions from effective models, and discuss their implications for the deconfinement mechanism and high-temperature properties of strongly interacting, non-supersymmetric gauge theories. Our results give strong evidence for the conjecture that the thermal deconfining transition is governed by a universal mechanism, common to all simple gauge groups.

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“…[91,92,94]. Recently, analogous conclusions have also been reached for supersymmetric theories [192,193], using an approach inspired by ref. [194].…”

Section: Discussionsupporting

confidence: 58%

Exceptional thermodynamics: the equation of state of G2 gauge theory

Bruno

Caselle

Panero

et al. 2015

J. High Energ. Phys.

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“…The calculation presented in this work serves as a baseline in which the known vacuum physics is consistently implemented in studying the thermodynamics under a virial expansion scheme up to the second order. This can be the necessary first step to properly incorporating further in-medium effects [42][43][44].…”

Section: Fig 1 (Color Online)mentioning

confidence: 99%

S-matrix analysis of the baryon electric charge correlation

Friman

Redlich

et al. 2018

Physics Letters B

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We compute the correlation of the net baryon number with the electric charge (χBQ) for an interacting hadron gas using the S-matrix formulation of statistical mechanics. The observable χBQ is particularly sensitive to the details of the pion-nucleon interaction, which are consistently incorporated in the current scheme via the empirical scattering phase shifts. Comparing to the recent lattice QCD studies in the (2 + 1)-flavor system, we find that the natural implementation of interactions and the proper treatment of resonances in the S-matrix approach lead to an improved description of the lattice data over that obtained in the hadron resonance gas model. 25.75.Ld, 12.38.Mh, 24.10.Nz Introduction.-Recent lattice QCD (LQCD) results on the equation of states and the fluctuations of conserved charges provide a very detailed description of the QCD thermal medium [1][2][3][4][5]. In particular the local fluctuations of conserved charges can be probed by appropriate combinations of mixed susceptibilities. An accurate determination of these quantities is also needed to reliably extend the LQCD calculations to finite densities using the Taylor's expansion scheme [6].Confinement dictates that hadrons, instead of quarks and gluons, fill the physical spectrum of QCD, while the spontaneous breaking of chiral symmetry makes pions exceptionally light due to their role as (pseudo-) Goldstone bosons. We thus expect that at low temperatures the partition function can be effectively described by an interacting gas of low-mass hadrons such as pions, kaons, and nucleons.A well-known effective approach which adopts the hadronic degrees of freedom in describing the thermodynamics of strongly interacting matter is the hadron resonance gas (HRG) model. This model assumes that resonance formation dominates the interactions of the confined phase, and as a first approximation, treats the resonances as an ideal gas. The approach gives a satisfactory description of the particle yields measured in heavy ion collisions [7][8][9][10][11][12][13][14], and is capable of providing an overall successful interpretation of LQCD results on bulk properties below the transition temperature [1][2][3][4][5][15][16][17].Nevertheless, the HRG model also makes some simplifying assumptions which are not necessarily consistent with the known hadron physics. Some of the problematic cases include the zero-width treatment of broad resonances [18-20] (e.g. the σ-and κ-meson), and the neglect of non-resonant contributions from both attractive and repulsive channels in computing the thermal observables [21].Very precise information about the hadronic interactions has emerged from the impressive volume of experimental data [22], carefully analyzed by theory such as

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“…In fact, the S-matrix elements can as well be obtained from potential models [34,35] or from lattice calculations [36]. Moreover, from a phenomenological point of view, it may be more intuitive to perform modeling at the level of S-matrix elements since these are more connected to the experimentally measured quantities.…”

Section: Discussionmentioning

confidence: 99%

S-matrix formulation of thermodynamics with N-body scatterings

2017

Eur. Phys. J. C

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We apply a phase space expansion scheme to incorporate the N-body scattering processes in the S-matrix formulation of statistical mechanics. A generalized phase shift function suitable for studying the thermal contribution of N → N processes is motivated and examined in various models. Using the expansion scheme, we revisit how the hadron resonance gas model emerges from the S-matrix framework, and consider an example of structureless scattering in which the phase shift function can be exactly worked out. Finally we analyze the influence of dynamics on the phase shift function in a simple example of 3-and 4-body scattering. * pmlo@gsi.de 1 arXiv:1707.04490v2 [hep-ph]

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The SUSY Yang–Mills plasma in a T-matrix approach

Cited by 3 publications

References 70 publications

Exceptional thermodynamics: the equation of state of G2 gauge theory

Exceptional thermodynamics: the equation of state of G2 gauge theory

S-matrix analysis of the baryon electric charge correlation

S-matrix formulation of thermodynamics with N-body scatterings

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