Two-loop perturbative corrections to the constrained effective potential in thermal QCD

Yun, Guo; Du, Qianqian

doi:10.1007/jhep05(2019)042

Cited by 25 publications

(38 citation statements)

References 55 publications

(125 reference statements)

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“…In (23) we have seen that the Polyakov loop (1) depends on the condensate, see (22). Following the μ independence of the condensates, L is also independent of μ.…”

Section: A 0 Condensation In the Presence Of µmentioning

confidence: 85%

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$$A_0$$-condensation in quark-gluon plasma with finite baryon density

Bordag

Скалозуб

2021

Eur. Phys. J. C

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In the present paper, we return to the problem of spontaneous generation of the $$A_0$$ A 0 -background field in QCD at finite temperature and a quark chemical potential, $$\mu $$ μ . On the lattice, this problem was studied by different approaches where an analytic continuation to the imaginary potential $$i \mu $$ i μ has been used. Here we consider both, real and imaginary chemical potential, analytically within the two-loop gauge-fixing independent effective potential $$W_{eff.}$$ W e f f . . We realize the gauge independence in to ways: (1) on the base of Nielsen’s identity and (2) expressing the potential in terms of Polyakov’s loop. Firstly we reproduce the known expressions in terms of Bernoulli’s polynomials for the gluons and quarks. Then, we calculate the $$\mu $$ μ -dependence, either for small $$\mu $$ μ as expansion or numerically for finite $$\mu $$ μ , real and imaginary. One result is that the chemical potential only weakly changes the values of the condensate fields, but quite strongly deepens the minima of the effective potential. We investigate the dependence of Polyakov’s loop in the minimum of the effective potential, thermodynamic pressure and Debye’s mass on the chemical potential. Comparisons with other results are given.

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“…In (23) we have seen that the Polyakov loop (1) depends on the condensate, see (22). Following the μ independence of the condensates, L is also independent of μ.…”

Section: A 0 Condensation In the Presence Of µmentioning

confidence: 85%

“…It is seen that on the one-loop level, i.e., for x (0) min = 0, we have L = 1 and on the two loop level with x (0) min given by ( 18), a smaller value, L 1. It is to be mentioned that expression (23) remains unchanged under ( 20) and ( 21), i.e., it takes the same value in all minima related by these formulas.…”

Section: Two-loop Free Energymentioning

confidence: 99%

$$A_0$$-condensation in quark-gluon plasma with finite baryon density

Bordag

Скалозуб

2021

Eur. Phys. J. C

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“…3 However, since there is not a first-principles description (other than lattice simulations) of the phase transition, many effective models have been considered in the literature. Among those are quasi-particle models [28][29][30][31], approaches based on the functional renormalization group [32][33][34][35], Polyakov loop models [36,37], as well as so-called matrix models [38][39][40][41][42][43][44][45][46]. The latter are particularly interesting as they can be applied to any gauge group G, the only input needed being the structure of the Lie algebra associated with G.…”

Section: Jhep05(2021)154mentioning

confidence: 99%

Gravitational waves from dark Yang-Mills sectors

Halverson

Long

Maiti

et al. 2021

J. High Energ. Phys.

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Dark Yang-Mills sectors, which are ubiquitous in the string landscape, may be reheated above their critical temperature and subsequently go through a confining first-order phase transition that produces stochastic gravitational waves in the early universe. Taking into account constraints from lattice and from Yang-Mills (center and Weyl) symmetries, we use a phenomenological model to construct an effective potential of the semi quark-gluon plasma phase, from which we compute the gravitational wave signal produced during confinement for numerous gauge groups. The signal is maximized when the dark sector dominates the energy density of the universe at the time of the phase transition. In that case, we find that it is within reach of the next-to-next generation of experiments (BBO, DECIGO) for a range of dark confinement scales near the weak scale.

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“…The explicit breaking of the Z N symmetry due to matter fields has been studied by calculating the partition function, or the effective potential of the Polyakov loop, when the gauge and matter field fluctuations are small [23][24][25][26]. These perturbative calculations are reliable for high temperatures (T ≫ T c ), when the gauge coupling is expected to be small.…”

Section: Introductionmentioning

confidence: 99%